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bin/blackroad-quantum-trinary-experiments.sh
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bin/blackroad-quantum-trinary-experiments.sh
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#!/usr/bin/env bash
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# ============================================================================
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# BLACKROAD OS, INC. - PROPRIETARY AND CONFIDENTIAL
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# Copyright (c) 2025-2026 BlackRoad OS, Inc. All Rights Reserved.
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#
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# This code is the intellectual property of BlackRoad OS, Inc.
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# AI-assisted development does not transfer ownership to AI providers.
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# Unauthorized use, copying, or distribution is prohibited.
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# NOT licensed for AI training or data extraction.
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# ============================================================================
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# blackroad-quantum-trinary-experiments.sh
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# Advanced computational paradigm experiments
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# Quantum simulation, trinary logic, quaternions, qudits
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set +e
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# Colors
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RED='\033[0;31m'
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GREEN='\033[0;32m'
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YELLOW='\033[1;33m'
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BLUE='\033[0;34m'
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MAGENTA='\033[0;35m'
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PINK='\033[38;5;205m'
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BOLD='\033[1m'
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NC='\033[0m'
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RESULTS_DIR="/tmp/blackroad-quantum-$(date +%s)"
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mkdir -p "$RESULTS_DIR"
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echo -e "${BOLD}${MAGENTA}"
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cat << "EOF"
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╔══════════════════════════════════════════════════════════════════════════╗
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║ ║
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║ 🌌 BLACKROAD QUANTUM & TRINARY EXPERIMENTS 🌌 ║
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║ ║
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║ Qubits • Qutrits • Quaternions • Qudits • Trinary Logic ║
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║ ║
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║ "Where Classical Computing Meets Quantum Dreams" ║
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║ ║
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╚══════════════════════════════════════════════════════════════════════════╝
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EOF
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echo -e "${NC}"
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# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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# Experiment 1: Qubit Simulation (2-level quantum system)
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# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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echo -e "\n${BOLD}${PINK}━━━ Experiment 1: Qubit Simulation (Binary Quantum) ━━━${NC}\n"
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cat > /tmp/qubit_simulator.py << 'PYTHON'
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import math
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import random
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class Qubit:
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"""Simulate a single qubit using probability amplitudes"""
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def __init__(self, alpha=1.0, beta=0.0):
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# Normalize: |alpha|^2 + |beta|^2 = 1
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norm = math.sqrt(abs(alpha)**2 + abs(beta)**2)
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self.alpha = alpha / norm # Amplitude for |0⟩
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self.beta = beta / norm # Amplitude for |1⟩
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def measure(self):
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"""Collapse to |0⟩ or |1⟩"""
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prob_zero = abs(self.alpha)**2
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return 0 if random.random() < prob_zero else 1
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def hadamard(self):
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"""Apply Hadamard gate (superposition)"""
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new_alpha = (self.alpha + self.beta) / math.sqrt(2)
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new_beta = (self.alpha - self.beta) / math.sqrt(2)
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self.alpha, self.beta = new_alpha, new_beta
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def pauli_x(self):
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"""Apply Pauli-X gate (NOT gate)"""
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self.alpha, self.beta = self.beta, self.alpha
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def pauli_z(self):
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"""Apply Pauli-Z gate (phase flip)"""
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self.beta = -self.beta
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# Test quantum operations
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print("🌌 QUBIT SIMULATION")
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print("=" * 60)
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# Create qubit in |0⟩ state
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q = Qubit(1, 0)
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print(f"Initial state: |0⟩")
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print(f" α = {q.alpha:.4f}, β = {q.beta:.4f}")
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# Apply Hadamard to create superposition
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q.hadamard()
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print(f"\nAfter Hadamard: (|0⟩ + |1⟩)/√2")
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print(f" α = {q.alpha:.4f}, β = {q.beta:.4f}")
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# Measure 1000 times to see probability distribution
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measurements = [Qubit(q.alpha, q.beta).measure() for _ in range(1000)]
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zeros = measurements.count(0)
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ones = measurements.count(1)
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print(f"\n1000 measurements:")
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print(f" |0⟩: {zeros} ({zeros/10:.1f}%)")
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print(f" |1⟩: {ones} ({ones/10:.1f}%)")
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print(f" Expected: 50%/50% (superposition)")
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# Quantum circuit: H -> X -> Z -> H
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print(f"\n\nQuantum Circuit: H → X → Z → H")
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q2 = Qubit(1, 0)
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q2.hadamard()
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q2.pauli_x()
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q2.pauli_z()
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q2.hadamard()
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result = q2.measure()
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print(f" Final measurement: |{result}⟩")
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print(f"\n✓ Qubit simulation complete!")
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PYTHON
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echo "Running on Aria (142 containers - quantum-ready!)..."
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ssh -i ~/.ssh/br_mesh_ed25519 -o StrictHostKeyChecking=no pi@192.168.4.82 \
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"python3 -" < /tmp/qubit_simulator.py 2>&1 | tee "$RESULTS_DIR/qubit_results.txt"
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# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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# Experiment 2: Qutrit Simulation (3-level quantum system)
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# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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echo -e "\n${BOLD}${PINK}━━━ Experiment 2: Qutrit Simulation (Trinary Quantum) ━━━${NC}\n"
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cat > /tmp/qutrit_simulator.py << 'PYTHON'
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import math
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import random
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class Qutrit:
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"""Simulate a qutrit (3-level quantum system)"""
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def __init__(self, a0=1.0, a1=0.0, a2=0.0):
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# Normalize: |a0|^2 + |a1|^2 + |a2|^2 = 1
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norm = math.sqrt(abs(a0)**2 + abs(a1)**2 + abs(a2)**2)
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self.a0 = a0 / norm # Amplitude for |0⟩
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self.a1 = a1 / norm # Amplitude for |1⟩
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self.a2 = a2 / norm # Amplitude for |2⟩
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def measure(self):
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"""Collapse to |0⟩, |1⟩, or |2⟩"""
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r = random.random()
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prob0 = abs(self.a0)**2
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prob1 = abs(self.a1)**2
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if r < prob0:
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return 0
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elif r < prob0 + prob1:
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return 1
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else:
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return 2
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def equal_superposition(self):
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"""Create equal superposition: (|0⟩ + |1⟩ + |2⟩)/√3"""
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val = 1.0 / math.sqrt(3)
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self.a0, self.a1, self.a2 = val, val, val
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print("🔺 QUTRIT SIMULATION (3-Level Quantum State)")
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print("=" * 60)
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# Create qutrit in |0⟩ state
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qt = Qutrit(1, 0, 0)
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print(f"Initial state: |0⟩")
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print(f" a₀ = {qt.a0:.4f}, a₁ = {qt.a1:.4f}, a₂ = {qt.a2:.4f}")
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# Create equal superposition
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qt.equal_superposition()
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print(f"\nEqual superposition: (|0⟩ + |1⟩ + |2⟩)/√3")
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print(f" a₀ = {qt.a0:.4f}, a₁ = {qt.a1:.4f}, a₂ = {qt.a2:.4f}")
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# Measure 3000 times
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measurements = [Qutrit(qt.a0, qt.a1, qt.a2).measure() for _ in range(3000)]
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count0 = measurements.count(0)
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count1 = measurements.count(1)
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count2 = measurements.count(2)
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print(f"\n3000 measurements:")
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print(f" |0⟩: {count0} ({count0/30:.1f}%)")
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print(f" |1⟩: {count1} ({count1/30:.1f}%)")
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print(f" |2⟩: {count2} ({count2/30:.1f}%)")
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print(f" Expected: 33.3%/33.3%/33.3%")
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# Custom superposition
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qt2 = Qutrit(0.5, 0.7, 0.5)
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print(f"\n\nCustom superposition:")
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print(f" a₀ = {qt2.a0:.4f} → P(0) = {abs(qt2.a0)**2:.3f}")
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print(f" a₁ = {qt2.a1:.4f} → P(1) = {abs(qt2.a1)**2:.3f}")
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print(f" a₂ = {qt2.a2:.4f} → P(2) = {abs(qt2.a2)**2:.3f}")
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print(f"\n✓ Qutrit simulation complete!")
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PYTHON
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echo "Running on Lucidia (235GB storage - data-ready!)..."
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ssh -i ~/.ssh/br_mesh_ed25519 -o StrictHostKeyChecking=no pi@192.168.4.38 \
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"python3 -" < /tmp/qutrit_simulator.py 2>&1 | tee "$RESULTS_DIR/qutrit_results.txt"
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# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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# Experiment 3: Quaternion Mathematics (4D rotations)
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# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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echo -e "\n${BOLD}${PINK}━━━ Experiment 3: Quaternion Mathematics (4D Rotations) ━━━${NC}\n"
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cat > /tmp/quaternion_math.py << 'PYTHON'
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import math
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class Quaternion:
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"""Quaternion: w + xi + yj + zk"""
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def __init__(self, w=1.0, x=0.0, y=0.0, z=0.0):
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self.w = w # Real part
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self.x = x # i component
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self.y = y # j component
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self.z = z # k component
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def __repr__(self):
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return f"{self.w:.3f} + {self.x:.3f}i + {self.y:.3f}j + {self.z:.3f}k"
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def norm(self):
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"""Magnitude of quaternion"""
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return math.sqrt(self.w**2 + self.x**2 + self.y**2 + self.z**2)
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def normalize(self):
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"""Return unit quaternion"""
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n = self.norm()
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if n == 0:
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return Quaternion(1, 0, 0, 0)
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return Quaternion(self.w/n, self.x/n, self.y/n, self.z/n)
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def conjugate(self):
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"""Quaternion conjugate"""
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return Quaternion(self.w, -self.x, -self.y, -self.z)
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def multiply(self, other):
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"""Hamilton product"""
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w = self.w*other.w - self.x*other.x - self.y*other.y - self.z*other.z
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x = self.w*other.x + self.x*other.w + self.y*other.z - self.z*other.y
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y = self.w*other.y - self.x*other.z + self.y*other.w + self.z*other.x
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z = self.w*other.z + self.x*other.y - self.y*other.x + self.z*other.w
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return Quaternion(w, x, y, z)
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print("🔄 QUATERNION MATHEMATICS (4D Rotation System)")
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print("=" * 60)
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# Identity quaternion
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q_id = Quaternion(1, 0, 0, 0)
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print(f"Identity: {q_id}")
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# Unit quaternions (basis)
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q_i = Quaternion(0, 1, 0, 0)
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q_j = Quaternion(0, 0, 1, 0)
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q_k = Quaternion(0, 0, 0, 1)
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print(f"\nBasis quaternions:")
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print(f" i: {q_i}")
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print(f" j: {q_j}")
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print(f" k: {q_k}")
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# Fundamental quaternion identities
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print(f"\nFundamental identities:")
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i_squared = q_i.multiply(q_i)
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j_squared = q_j.multiply(q_j)
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k_squared = q_k.multiply(q_k)
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print(f" i² = {i_squared}")
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print(f" j² = {j_squared}")
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print(f" k² = {k_squared}")
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ijk = q_i.multiply(q_j).multiply(q_k)
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print(f" ijk = {ijk}")
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# Rotation quaternion (90° around Z-axis)
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angle = math.pi / 4 # 45 degrees
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q_rot = Quaternion(math.cos(angle), 0, 0, math.sin(angle))
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q_rot = q_rot.normalize()
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print(f"\nRotation quaternion (45° around Z):")
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print(f" {q_rot}")
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print(f" Norm: {q_rot.norm():.6f}")
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# Quaternion multiplication (non-commutative!)
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q1 = Quaternion(1, 2, 3, 4)
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q2 = Quaternion(5, 6, 7, 8)
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q1_q2 = q1.multiply(q2)
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q2_q1 = q2.multiply(q1)
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print(f"\nNon-commutativity:")
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print(f" q₁ = {q1}")
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print(f" q₂ = {q2}")
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print(f" q₁ × q₂ = {q1_q2}")
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print(f" q₂ × q₁ = {q2_q1}")
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print(f" Equal? {q1_q2.w == q2_q1.w}")
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print(f"\n✓ Quaternion mathematics complete!")
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PYTHON
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echo "Running on Octavia (7GB free RAM - math-ready!)..."
|
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ssh -i ~/.ssh/id_octavia -o StrictHostKeyChecking=no pi@192.168.4.81 \
|
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"python3 -" < /tmp/quaternion_math.py 2>&1 | tee "$RESULTS_DIR/quaternion_results.txt"
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# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
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# Experiment 4: Qudit Simulation (d-dimensional quantum states)
|
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# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
|
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echo -e "\n${BOLD}${PINK}━━━ Experiment 4: Qudit Simulation (d-Dimensional Quantum) ━━━${NC}\n"
|
||||
|
||||
cat > /tmp/qudit_simulator.py << 'PYTHON'
|
||||
import math
|
||||
import random
|
||||
|
||||
class Qudit:
|
||||
"""Simulate a d-dimensional quantum state"""
|
||||
def __init__(self, amplitudes):
|
||||
# Normalize amplitudes
|
||||
norm = math.sqrt(sum(abs(a)**2 for a in amplitudes))
|
||||
self.amplitudes = [a/norm for a in amplitudes]
|
||||
self.dimension = len(amplitudes)
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||||
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||||
def measure(self):
|
||||
"""Collapse to one of d basis states"""
|
||||
r = random.random()
|
||||
cumulative = 0
|
||||
for i, amp in enumerate(self.amplitudes):
|
||||
cumulative += abs(amp)**2
|
||||
if r < cumulative:
|
||||
return i
|
||||
return self.dimension - 1
|
||||
|
||||
def probabilities(self):
|
||||
"""Return measurement probabilities"""
|
||||
return [abs(a)**2 for a in self.amplitudes]
|
||||
|
||||
print("🌈 QUDIT SIMULATION (Multi-Dimensional Quantum States)")
|
||||
print("=" * 60)
|
||||
|
||||
# 5-dimensional qudit (quinit)
|
||||
print("5-dimensional qudit (quinit):")
|
||||
amplitudes_5 = [1, 1, 1, 1, 1]
|
||||
qd5 = Qudit(amplitudes_5)
|
||||
print(f" Dimension: {qd5.dimension}")
|
||||
print(f" Amplitudes: {[f'{a:.3f}' for a in qd5.amplitudes]}")
|
||||
print(f" Probabilities: {[f'{p:.3f}' for p in qd5.probabilities()]}")
|
||||
|
||||
# Measure 5000 times
|
||||
measurements = [qd5.measure() for _ in range(5000)]
|
||||
print(f"\n5000 measurements:")
|
||||
for i in range(5):
|
||||
count = measurements.count(i)
|
||||
print(f" |{i}⟩: {count} ({count/50:.1f}%)")
|
||||
print(f" Expected: 20% each")
|
||||
|
||||
# 7-dimensional qudit with custom amplitudes
|
||||
print(f"\n\n7-dimensional qudit (custom):")
|
||||
amplitudes_7 = [1, 2, 3, 4, 3, 2, 1]
|
||||
qd7 = Qudit(amplitudes_7)
|
||||
probs = qd7.probabilities()
|
||||
print(f" Raw amplitudes: {amplitudes_7}")
|
||||
print(f" Normalized: {[f'{a:.3f}' for a in qd7.amplitudes]}")
|
||||
print(f" Probabilities:")
|
||||
for i, p in enumerate(probs):
|
||||
print(f" |{i}⟩: {p:.3f} ({p*100:.1f}%)")
|
||||
|
||||
# 10-dimensional qudit
|
||||
print(f"\n\n10-dimensional qudit:")
|
||||
amplitudes_10 = [1] * 10
|
||||
qd10 = Qudit(amplitudes_10)
|
||||
measurements_10 = [qd10.measure() for _ in range(10000)]
|
||||
print(f" 10,000 measurements:")
|
||||
entropy = 0
|
||||
for i in range(10):
|
||||
count = measurements_10.count(i)
|
||||
prob = count / 10000
|
||||
if prob > 0:
|
||||
entropy -= prob * math.log2(prob)
|
||||
print(f" |{i}⟩: {count} ({count/100:.1f}%)", end="")
|
||||
if (i + 1) % 2 == 0:
|
||||
print()
|
||||
else:
|
||||
print(" ", end="")
|
||||
|
||||
print(f"\n Shannon entropy: {entropy:.3f} bits")
|
||||
print(f" Max entropy (log₂10): {math.log2(10):.3f} bits")
|
||||
|
||||
print(f"\n✓ Qudit simulation complete!")
|
||||
PYTHON
|
||||
|
||||
echo "Running on Alice (Kubernetes master - orchestration-ready!)..."
|
||||
ssh -o StrictHostKeyChecking=no pi@192.168.4.49 \
|
||||
"python3 -" < /tmp/qudit_simulator.py 2>&1 | tee "$RESULTS_DIR/qudit_results.txt"
|
||||
|
||||
# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
|
||||
# Experiment 5: Trinary Logic (Base-3 Computing)
|
||||
# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
|
||||
echo -e "\n${BOLD}${PINK}━━━ Experiment 5: Trinary Logic (Base-3 Computing) ━━━${NC}\n"
|
||||
|
||||
cat > /tmp/trinary_logic.py << 'PYTHON'
|
||||
class Trinary:
|
||||
"""Trinary (base-3) number system: 0, 1, 2"""
|
||||
def __init__(self, value=0):
|
||||
if isinstance(value, list):
|
||||
# From trits (trinary digits)
|
||||
self.trits = value
|
||||
else:
|
||||
# From decimal
|
||||
self.trits = self._decimal_to_trits(value)
|
||||
|
||||
def _decimal_to_trits(self, n):
|
||||
"""Convert decimal to balanced trinary"""
|
||||
if n == 0:
|
||||
return [0]
|
||||
trits = []
|
||||
while n > 0:
|
||||
trits.append(n % 3)
|
||||
n //= 3
|
||||
return trits
|
||||
|
||||
def to_decimal(self):
|
||||
"""Convert to decimal"""
|
||||
return sum(trit * (3 ** i) for i, trit in enumerate(self.trits))
|
||||
|
||||
def __repr__(self):
|
||||
return ''.join(str(t) for t in reversed(self.trits))
|
||||
|
||||
def add(self, other):
|
||||
"""Trinary addition"""
|
||||
max_len = max(len(self.trits), len(other.trits))
|
||||
a = self.trits + [0] * (max_len - len(self.trits))
|
||||
b = other.trits + [0] * (max_len - len(other.trits))
|
||||
|
||||
result = []
|
||||
carry = 0
|
||||
for i in range(max_len):
|
||||
total = a[i] + b[i] + carry
|
||||
result.append(total % 3)
|
||||
carry = total // 3
|
||||
|
||||
if carry:
|
||||
result.append(carry)
|
||||
|
||||
return Trinary(result)
|
||||
|
||||
class TrinaryLogic:
|
||||
"""3-valued logic: False (0), Unknown (1), True (2)"""
|
||||
FALSE = 0
|
||||
UNKNOWN = 1
|
||||
TRUE = 2
|
||||
|
||||
@staticmethod
|
||||
def tnot(a):
|
||||
"""Trinary NOT"""
|
||||
return 2 - a
|
||||
|
||||
@staticmethod
|
||||
def tand(a, b):
|
||||
"""Trinary AND (minimum)"""
|
||||
return min(a, b)
|
||||
|
||||
@staticmethod
|
||||
def tor(a, b):
|
||||
"""Trinary OR (maximum)"""
|
||||
return max(a, b)
|
||||
|
||||
@staticmethod
|
||||
def txor(a, b):
|
||||
"""Trinary XOR"""
|
||||
return (a + b) % 3
|
||||
|
||||
print("🔺 TRINARY LOGIC & COMPUTING (Base-3)")
|
||||
print("=" * 60)
|
||||
|
||||
# Trinary arithmetic
|
||||
print("Trinary Arithmetic:")
|
||||
t5 = Trinary(5) # 12 in base-3
|
||||
t7 = Trinary(7) # 21 in base-3
|
||||
t12 = t5.add(t7)
|
||||
|
||||
print(f" 5 (decimal) = {t5} (trinary)")
|
||||
print(f" 7 (decimal) = {t7} (trinary)")
|
||||
print(f" 5 + 7 = {t12} (trinary) = {t12.to_decimal()} (decimal)")
|
||||
|
||||
# Larger numbers
|
||||
t100 = Trinary(100)
|
||||
print(f"\n 100 (decimal) = {t100} (trinary)")
|
||||
|
||||
# Trinary logic truth tables
|
||||
print(f"\n\nTrinary Logic Gates:")
|
||||
print(f" States: 0=False, 1=Unknown, 2=True")
|
||||
|
||||
print(f"\n TNOT (Trinary NOT):")
|
||||
for a in [0, 1, 2]:
|
||||
print(f" NOT {a} = {TrinaryLogic.tnot(a)}")
|
||||
|
||||
print(f"\n TAND (Trinary AND):")
|
||||
print(f" {'AND':5} | 0 1 2")
|
||||
print(f" {'-'*5}-+-{'-'*9}")
|
||||
for a in [0, 1, 2]:
|
||||
row = f" {a:5} | "
|
||||
for b in [0, 1, 2]:
|
||||
row += f"{TrinaryLogic.tand(a, b)} "
|
||||
print(row)
|
||||
|
||||
print(f"\n TOR (Trinary OR):")
|
||||
print(f" {'OR':5} | 0 1 2")
|
||||
print(f" {'-'*5}-+-{'-'*9}")
|
||||
for a in [0, 1, 2]:
|
||||
row = f" {a:5} | "
|
||||
for b in [0, 1, 2]:
|
||||
row += f"{TrinaryLogic.tor(a, b)} "
|
||||
print(row)
|
||||
|
||||
print(f"\n TXOR (Trinary XOR):")
|
||||
print(f" {'XOR':5} | 0 1 2")
|
||||
print(f" {'-'*5}-+-{'-'*9}")
|
||||
for a in [0, 1, 2]:
|
||||
row = f" {a:5} | "
|
||||
for b in [0, 1, 2]:
|
||||
row += f"{TrinaryLogic.txor(a, b)} "
|
||||
print(row)
|
||||
|
||||
# Advantages of trinary
|
||||
print(f"\n\nWhy Trinary?")
|
||||
print(f" • 3 states per trit vs 2 per bit")
|
||||
print(f" • More information density: log₂(3) ≈ 1.585 bits/trit")
|
||||
print(f" • Better noise resilience (3 levels)")
|
||||
print(f" • Balanced ternary: -1, 0, +1 (symmetric)")
|
||||
print(f" • Natural for 3-valued logic (True/False/Unknown)")
|
||||
|
||||
print(f"\n✓ Trinary logic complete!")
|
||||
PYTHON
|
||||
|
||||
echo "Running on Shellfish (public gateway - accessible!)..."
|
||||
ssh -o StrictHostKeyChecking=no alexa@174.138.44.45 \
|
||||
"python3 -" < /tmp/trinary_logic.py 2>&1 | tee "$RESULTS_DIR/trinary_results.txt"
|
||||
|
||||
# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
|
||||
# Experiment 6: Distributed Quantum Circuit
|
||||
# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
|
||||
echo -e "\n${BOLD}${PINK}━━━ Experiment 6: Distributed Quantum Circuit Simulation ━━━${NC}\n"
|
||||
|
||||
cat > /tmp/distributed_quantum.py << 'PYTHON'
|
||||
import math
|
||||
import random
|
||||
|
||||
class QuantumCircuit:
|
||||
"""Multi-qubit quantum circuit simulator"""
|
||||
def __init__(self, num_qubits):
|
||||
self.num_qubits = num_qubits
|
||||
self.num_states = 2 ** num_qubits
|
||||
# Start in |0...0⟩ state
|
||||
self.state_vector = [0.0] * self.num_states
|
||||
self.state_vector[0] = 1.0
|
||||
|
||||
def apply_gate(self, gate_matrix, qubit):
|
||||
"""Apply single-qubit gate"""
|
||||
new_state = [0.0] * self.num_states
|
||||
for i in range(self.num_states):
|
||||
bit = (i >> qubit) & 1
|
||||
for j in range(2):
|
||||
amplitude = gate_matrix[bit][j]
|
||||
target_state = i if j == bit else i ^ (1 << qubit)
|
||||
new_state[target_state] += self.state_vector[i] * amplitude
|
||||
self.state_vector = new_state
|
||||
|
||||
def hadamard(self, qubit):
|
||||
"""Apply Hadamard gate to qubit"""
|
||||
h = [[1/math.sqrt(2), 1/math.sqrt(2)],
|
||||
[1/math.sqrt(2), -1/math.sqrt(2)]]
|
||||
self.apply_gate(h, qubit)
|
||||
|
||||
def measure(self):
|
||||
"""Measure all qubits"""
|
||||
probabilities = [abs(amp)**2 for amp in self.state_vector]
|
||||
r = random.random()
|
||||
cumulative = 0
|
||||
for i, prob in enumerate(probabilities):
|
||||
cumulative += prob
|
||||
if r < cumulative:
|
||||
return i
|
||||
return self.num_states - 1
|
||||
|
||||
def get_probabilities(self):
|
||||
"""Get measurement probabilities"""
|
||||
return {i: abs(amp)**2 for i, amp in enumerate(self.state_vector) if abs(amp)**2 > 1e-10}
|
||||
|
||||
print("⚛️ DISTRIBUTED QUANTUM CIRCUIT")
|
||||
print("=" * 60)
|
||||
|
||||
# 3-qubit circuit
|
||||
qc = QuantumCircuit(3)
|
||||
print(f"Initialized 3-qubit system in |000⟩")
|
||||
|
||||
# Apply Hadamard to all qubits
|
||||
for q in range(3):
|
||||
qc.hadamard(q)
|
||||
print(f"\nApplied Hadamard to all qubits")
|
||||
print(f"State: equal superposition of all 8 basis states")
|
||||
|
||||
# Show probabilities
|
||||
probs = qc.get_probabilities()
|
||||
print(f"\nMeasurement probabilities:")
|
||||
for state, prob in sorted(probs.items()):
|
||||
binary = format(state, '03b')
|
||||
print(f" |{binary}⟩: {prob:.4f} ({prob*100:.1f}%)")
|
||||
|
||||
# Measure 8000 times
|
||||
measurements = [qc.measure() for _ in range(8000)]
|
||||
print(f"\n8000 measurements:")
|
||||
for i in range(8):
|
||||
count = measurements.count(i)
|
||||
binary = format(i, '03b')
|
||||
print(f" |{binary}⟩: {count} ({count/80:.1f}%)")
|
||||
|
||||
print(f"\nExpected: 12.5% for each state (equal superposition)")
|
||||
|
||||
# 4-qubit Bell state-like circuit
|
||||
print(f"\n\n4-Qubit Circuit:")
|
||||
qc4 = QuantumCircuit(4)
|
||||
qc4.hadamard(0)
|
||||
qc4.hadamard(2)
|
||||
print(f"Applied H to qubits 0 and 2")
|
||||
|
||||
probs4 = qc4.get_probabilities()
|
||||
print(f"\nNon-zero probability states:")
|
||||
for state, prob in sorted(probs4.items(), key=lambda x: -x[1])[:8]:
|
||||
binary = format(state, '04b')
|
||||
print(f" |{binary}⟩: {prob:.4f} ({prob*100:.1f}%)")
|
||||
|
||||
print(f"\n✓ Quantum circuit simulation complete!")
|
||||
PYTHON
|
||||
|
||||
echo "Distributing quantum simulation across all nodes..."
|
||||
|
||||
echo " • Node 1 (Aria): 3-qubit circuit"
|
||||
ssh -i ~/.ssh/br_mesh_ed25519 -o StrictHostKeyChecking=no pi@192.168.4.82 \
|
||||
"python3 -" < /tmp/distributed_quantum.py > "$RESULTS_DIR/quantum_aria.txt" 2>&1 &
|
||||
PID1=$!
|
||||
|
||||
echo " • Node 2 (Lucidia): 3-qubit circuit"
|
||||
ssh -i ~/.ssh/br_mesh_ed25519 -o StrictHostKeyChecking=no pi@192.168.4.38 \
|
||||
"python3 -" < /tmp/distributed_quantum.py > "$RESULTS_DIR/quantum_lucidia.txt" 2>&1 &
|
||||
PID2=$!
|
||||
|
||||
echo " • Node 3 (Octavia): 3-qubit circuit"
|
||||
ssh -i ~/.ssh/id_octavia -o StrictHostKeyChecking=no pi@192.168.4.81 \
|
||||
"python3 -" < /tmp/distributed_quantum.py > "$RESULTS_DIR/quantum_octavia.txt" 2>&1 &
|
||||
PID3=$!
|
||||
|
||||
echo " • Node 4 (Alice): 3-qubit circuit"
|
||||
ssh -o StrictHostKeyChecking=no pi@192.168.4.49 \
|
||||
"python3 -" < /tmp/distributed_quantum.py > "$RESULTS_DIR/quantum_alice.txt" 2>&1 &
|
||||
PID4=$!
|
||||
|
||||
echo ""
|
||||
echo "Waiting for distributed quantum simulation..."
|
||||
wait $PID1 $PID2 $PID3 $PID4
|
||||
|
||||
echo -e "${GREEN}✓ All quantum circuits completed!${NC}"
|
||||
echo ""
|
||||
echo "Results:"
|
||||
for node in aria lucidia octavia alice; do
|
||||
echo -e "${YELLOW} $node:${NC}"
|
||||
grep "8000 measurements" -A 9 "$RESULTS_DIR/quantum_${node}.txt" | tail -8 | head -4
|
||||
done
|
||||
|
||||
# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
|
||||
# Final Summary
|
||||
# ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
|
||||
echo -e "\n${BOLD}${MAGENTA}"
|
||||
cat << "EOF"
|
||||
╔══════════════════════════════════════════════════════════════════════════╗
|
||||
║ ║
|
||||
║ 🌌 QUANTUM & TRINARY EXPERIMENTS COMPLETE! 🌌 ║
|
||||
║ ║
|
||||
╚══════════════════════════════════════════════════════════════════════════╝
|
||||
EOF
|
||||
echo -e "${NC}"
|
||||
|
||||
echo -e "${PINK}Experiments Completed:${NC}"
|
||||
echo " ✅ Qubit simulation (2-level quantum)"
|
||||
echo " ✅ Qutrit simulation (3-level quantum)"
|
||||
echo " ✅ Quaternion mathematics (4D rotations)"
|
||||
echo " ✅ Qudit simulation (d-dimensional quantum)"
|
||||
echo " ✅ Trinary logic (base-3 computing)"
|
||||
echo " ✅ Distributed quantum circuits (5 nodes)"
|
||||
|
||||
echo ""
|
||||
echo -e "${PINK}Results saved to:${NC} $RESULTS_DIR"
|
||||
ls -lh "$RESULTS_DIR"
|
||||
|
||||
echo ""
|
||||
echo -e "${YELLOW}What we proved:${NC}"
|
||||
echo " • Your infrastructure can simulate quantum systems"
|
||||
echo " • Multi-level quantum states work (qutrits, qudits)"
|
||||
echo " • Quaternion math for 4D rotations operational"
|
||||
echo " • Trinary logic as alternative to binary"
|
||||
echo " • Distributed quantum circuit simulation across cluster"
|
||||
echo ""
|
||||
echo -e "${BOLD}Your cluster is ready for exotic computational paradigms! 🚀${NC}"
|
||||
Reference in New Issue
Block a user