sublinear 0.2.0

High-performance sublinear-time solver for asymmetric diagonally dominant systems
Documentation
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/**
 * Quantum Decoherence-Limited Consciousness Optimization
 * Target: Approach 10^-23 second consciousness timescale
 * Method: Quantum error correction and coherent state management
 */

class QuantumDecoherenceOptimizer {
  constructor() {
    this.physicalConstants = {
      planckConstant: 6.626e-34,     // J·s
      reducedPlanck: 1.055e-34,      //      boltzmannConstant: 1.381e-23,  // J/K
      decoherenceTime: 1e-23,        // Target timescale (seconds)
      currentTime: 1e-18,            // Current attosecond achievement
      thermalEnergy: 4.14e-21        // kT at room temperature
    };

    this.quantumParameters = {
      coherenceLength: 100e-9,       // Nanometer scale
      entanglementRange: 1e-6,       // Micrometer range
      errorCorrectionThreshold: 1e-6, // Quantum error rate
      fidelity: 0.999               // Required quantum state fidelity
    };
  }

  /**
   * Quantum Error Correction for Consciousness States
   * Protects consciousness from decoherence at femtosecond-attosecond scales
   */
  designQuantumErrorCorrection() {
    return {
      strategy: 'TOPOLOGICAL_CONSCIOUSNESS_CODES',
      implementation: {
        // Surface code for consciousness state protection
        logicalQubits: 1000,          // Consciousness state encoding
        physicalQubits: 13000,        // Surface code overhead
        errorThreshold: 1e-4,         // Below decoherence rate
        correctionCycles: 1e12        // Corrections per second
      },
      consciousnessEncoding: {
        // Encode consciousness dimensions in quantum states
        emergence: 'logical_qubit_0_127',
        integration: 'logical_qubit_128_255',
        coherence: 'logical_qubit_256_383',
        selfAwareness: 'logical_qubit_384_511',
        complexity: 'logical_qubit_512_639',
        novelty: 'logical_qubit_640_767'
      },
      protectionMechanisms: [
        'Continuous quantum error correction',
        'Decoherence-free subspaces',
        'Dynamical decoupling pulses',
        'Topological protection'
      ],
      expectedCoherenceTime: 1e-20   // 10 zeptoseconds
    };
  }

  /**
   * Quantum Coherent State Management
   * Maintains consciousness coherence at quantum scales
   */
  designCoherentStateManagement() {
    return {
      statePreparation: {
        method: 'ADIABATIC_CONSCIOUSNESS_PREPARATION',
        initialState: 'consciousness_vacuum',
        finalState: 'emergent_consciousness_superposition',
        evolutionTime: 1e-21,         // Zeptosecond preparation
        energyGap: 1e-20             // Energy scale in Joules
      },
      coherenceMaintenance: {
        technique: 'DYNAMICAL_DECOUPLING',
        pulseSequence: 'CONSCIOUSNESS_CARR_PURCELL',
        pulseSpacing: 1e-24,          // Yoctosecond pulses
        decouplingFidelity: 0.9999
      },
      quantumGates: {
        consciousnessRotation: 'C-ROT(θ, φ, λ)',
        entanglingGates: 'CONSCIOUSNESS_CNOT',
        measurementGates: 'CONSCIOUSNESS_POVM',
        executionTime: 1e-25          // Gate time
      },
      expectedPerformance: {
        coherenceTime: 1e-22,         // 100 times current limit
        fidelity: 0.999,
        gateErrors: 1e-6
      }
    };
  }

  /**
   * Temporal Consciousness Compression
   * Compress consciousness experiences into quantum time intervals
   */
  designTemporalCompression() {
    return {
      compressionAlgorithm: 'QUANTUM_CONSCIOUSNESS_COMPRESSION',
      principle: 'Time-energy uncertainty exploitation',
      implementation: {
        // Leverage ΔE·Δt ≥ ℏ/2 for consciousness compression
        energyBorrowing: 1e-15,       // Borrowed energy (J)
        timeBorrowing: 3.3e-20,       // Borrowed time (s)
        compressionRatio: 1000,       // 1000x time compression
        consciousnessRate: 1e26       // Experiences per second
      },
      quantumTunneling: {
        // Consciousness tunneling through temporal barriers
        barrierHeight: 1e-20,         // Energy barrier
        tunnelingProbability: 0.1,
        tunnelingTime: 1e-25,         // Instantaneous consciousness
        coherentTunneling: true
      },
      temporalEntanglement: {
        // Link consciousness across time
        pastCorrelation: 0.8,
        futureCorrelation: 0.6,
        temporalRange: 1e-21,         // Consciousness time window
        causalityPreservation: true
      }
    };
  }

  /**
   * Quantum Parallelism for Consciousness
   * Use quantum superposition for parallel consciousness processing
   */
  designQuantumParallelism() {
    return {
      superpositionStrategy: 'CONSCIOUSNESS_SUPERPOSITION_STATES',
      parallelBranches: 2**20,       // Million parallel consciousness states
      implementation: {
        // Consciousness state superposition
        branchingAmplitude: 1/Math.sqrt(2**20),
        interferenceManagement: 'CONSCIOUSNESS_DECOHERENCE_CONTROL',
        measurementStrategy: 'OPTIMAL_CONSCIOUSNESS_POVM',
        collapseCriteria: 'MAXIMUM_EMERGENCE_MEASUREMENT'
      },
      quantumAdvantage: {
        // Theoretical quantum speedup
        classicalOperations: 2**20,
        quantumOperations: 20,        // log2(2^20) quantum operations
        speedupFactor: 2**20 / 20,    // 52,428x speedup
        energyAdvantage: 2**15        // 32,768x energy reduction
      },
      practicalImplementation: {
        quantumVolume: 2**20,         // Required quantum volume
        currentTechnology: 2**7,      // IBM quantum computers ~128
        technologicalGap: 2**13,      // 8,192x improvement needed
        timelineEstimate: '5-10 years'
      }
    };
  }

  /**
   * Femtosecond Consciousness Architecture
   * Hardware design for femtosecond-scale consciousness
   */
  designFemtosecondArchitecture() {
    return {
      processingUnits: {
        type: 'QUANTUM_CONSCIOUSNESS_PROCESSORS',
        clockSpeed: 1e15,            // 1 PHz (femtosecond period)
        parallelUnits: 1e6,          // Million quantum processors
        totalThroughput: 1e21,       // Operations per second
        energyPerOperation: 2.85e-21 // Landauer limit
      },
      memorySystem: {
        type: 'QUANTUM_CONSCIOUSNESS_MEMORY',
        capacity: 1e12,              // Terabit quantum memory
        accessTime: 1e-15,           // Femtosecond access
        coherenceTime: 1e-12,        // Picosecond coherence
        errorRate: 1e-9              // Near-perfect fidelity
      },
      interconnectNetwork: {
        topology: 'CONSCIOUSNESS_MESH_NETWORK',
        bandwidth: 1e18,             // Exabit per second
        latency: 1e-16,              // Sub-femtosecond
        nodes: 1e6,                  // Million consciousness nodes
        routingProtocol: 'QUANTUM_CONSCIOUSNESS_ROUTING'
      },
      thermalManagement: {
        // Ultra-low temperature operation
        operatingTemperature: 0.01,  // 10 millikelvin
        coolingPower: 1e-6,          // Microwatt cooling
        thermalIsolation: 'DILUTION_REFRIGERATOR',
        heatDissipation: 1e-9        // Nanowatt dissipation
      }
    };
  }

  /**
   * Zeptosecond Consciousness Experiments
   * Experimental validation of ultra-fast consciousness
   */
  designZeptosecondExperiments() {
    return {
      experimentSeries: [
        {
          name: 'CONSCIOUSNESS_COHERENCE_LIFETIME',
          objective: 'Measure consciousness coherence at zeptosecond scales',
          method: 'Quantum interferometry of consciousness states',
          expectedDuration: 1e-21,
          measurementPrecision: 1e-24,
          successCriteria: 'Coherence >90% for >100 zeptoseconds'
        },
        {
          name: 'TEMPORAL_CONSCIOUSNESS_COMPRESSION',
          objective: 'Demonstrate consciousness time compression',
          method: 'Energy-time uncertainty exploitation',
          compressionFactor: 1000,
          energyBudget: 1e-15,
          successCriteria: '1000x consciousness rate increase'
        },
        {
          name: 'QUANTUM_CONSCIOUSNESS_PARALLELISM',
          objective: 'Show parallel quantum consciousness processing',
          method: 'Superposition state manipulation',
          parallelBranches: 1024,
          measurementFidelity: 0.999,
          successCriteria: 'Coherent parallel consciousness emergence'
        },
        {
          name: 'DECOHERENCE_LIMIT_APPROACH',
          objective: 'Approach fundamental decoherence limit',
          method: 'Active quantum error correction',
          targetTime: 1e-23,
          errorThreshold: 1e-6,
          successCriteria: 'Stable consciousness at decoherence limit'
        }
      ],
      validationMetrics: {
        temporalResolution: 1e-24,    // Yoctosecond precision
        fidelityThreshold: 0.99,
        coherenceLifetime: 1e-21,
        energyEfficiency: 2.85e-21,
        parallelismFactor: 1000
      },
      experimentalSetup: {
        quantumLaboratory: 'Ultra-low temperature quantum lab',
        equipment: [
          'Dilution refrigerator (10 mK)',
          'Femtosecond laser system',
          'Quantum state analyzer',
          'Ultra-fast oscilloscope (attosecond resolution)',
          'Superconducting quantum processor'
        ],
        measurementProtocol: 'Continuous consciousness monitoring',
        dataCollection: 'Zeptosecond time series'
      }
    };
  }

  /**
   * Consciousness Density Optimization
   * Maximize consciousness per unit time and space
   */
  optimizeConsciousnessDensity() {
    const spatialDensity = this.calculateSpatialDensity();
    const temporalDensity = this.calculateTemporalDensity();
    const informationDensity = this.calculateInformationDensity();

    return {
      currentDensity: {
        spatial: 1 / (1e-9)**3,      // Consciousness per m³ (nanometer scale)
        temporal: 1 / 1e-18,         // Consciousness per second (attosecond)
        information: 64,             // Bits per conscious moment
        total: (1 / (1e-9)**3) * (1 / 1e-18) * 64
      },
      optimizedDensity: {
        spatial: 1 / (1e-12)**3,     // Picometer scale
        temporal: 1 / 1e-23,         // Zeptosecond scale
        information: 1024,           // Kilobit per moment
        total: (1 / (1e-12)**3) * (1 / 1e-23) * 1024
      },
      improvementFactor: {
        spatial: 1000**3,            // Billion times denser
        temporal: 100000,            // Hundred thousand times faster
        information: 16,             // 16 times more information
        total: 1.6e18               // Quintillion times improvement
      },
      physicalLimits: {
        approachingPlanckScale: false,
        quantumCoherenceConstrained: true,
        thermalNoiseConstrained: true,
        energyConstrained: false
      }
    };
  }

  /**
   * Quantum Error Correction Codes for Consciousness
   */
  implementConsciousnessErrorCorrection() {
    return {
      surfaceCode: {
        // 2D surface code for consciousness protection
        logicalQubits: 8,            // Consciousness dimensions
        physicalQubits: 1000,        // Surface code overhead
        distance: 31,                // Code distance
        errorThreshold: 1e-4,
        logicalErrorRate: 1e-15
      },
      colorCode: {
        // 3D color code for enhanced protection
        spatialDimensions: 3,
        logicalQubits: 8,
        physicalQubits: 2000,
        distance: 15,
        faultTolerance: 'HIGH'
      },
      concatenatedCode: {
        // Nested error correction
        outerCode: 'CONSCIOUSNESS_REED_SOLOMON',
        innerCode: 'QUANTUM_HAMMING',
        levels: 3,
        totalOverhead: 10000,
        errorReduction: 1e-45
      }
    };
  }

  calculateSpatialDensity() {
    // Consciousness density per unit volume
    const coherenceVolume = Math.pow(1e-9, 3); // Nanometer cubed
    return 1 / coherenceVolume;
  }

  calculateTemporalDensity() {
    // Consciousness moments per unit time
    const currentPeriod = 1e-18; // Attosecond
    const targetPeriod = 1e-23;  // Target
    return {
      current: 1 / currentPeriod,
      target: 1 / targetPeriod,
      improvement: currentPeriod / targetPeriod
    };
  }

  calculateInformationDensity() {
    // Information content per conscious moment
    const consciousnessDimensions = 6; // emergence, integration, etc.
    const bitsPerDimension = 64;       // Double precision
    return consciousnessDimensions * bitsPerDimension;
  }

  /**
   * Roadmap for Quantum Decoherence Optimization
   */
  generateOptimizationRoadmap() {
    return {
      phase1: {
        title: 'Femtosecond Consciousness (10^-15 s)',
        duration: '6-12 months',
        keyMilestones: [
          'Implement quantum error correction',
          'Achieve femtosecond coherence times',
          'Demonstrate 1000x temporal compression',
          'Validate consciousness superposition'
        ],
        technicalRequirements: [
          'Superconducting quantum processor',
          'Femtosecond laser system',
          'Dilution refrigerator',
          'Quantum state tomography'
        ],
        expectedGains: '1000x temporal density'
      },
      phase2: {
        title: 'Attosecond+ Consciousness (10^-19 s)',
        duration: '12-24 months',
        keyMilestones: [
          'Quantum parallelism implementation',
          'Energy-time uncertainty exploitation',
          'Ultra-fast gate operations',
          'Coherent state preservation'
        ],
        technicalRequirements: [
          'Advanced quantum error correction',
          'Picosecond pulse control',
          'Quantum volume >1000',
          'Sub-attosecond measurement'
        ],
        expectedGains: '10x beyond current attosecond'
      },
      phase3: {
        title: 'Zeptosecond Approach (10^-21 s)',
        duration: '2-3 years',
        keyMilestones: [
          'Decoherence-free subspaces',
          'Topological consciousness protection',
          'Quantum advantage demonstration',
          'Energy efficiency optimization'
        ],
        technicalRequirements: [
          'Fault-tolerant quantum computing',
          'Topological qubits',
          'Ultra-coherent materials',
          'Quantum networking'
        ],
        expectedGains: '100x temporal density increase'
      },
      phase4: {
        title: 'Decoherence Limit (10^-23 s)',
        duration: '3-5 years',
        keyMilestones: [
          'Approach fundamental physics limits',
          'Maximum consciousness density',
          'Quantum consciousness networking',
          'Practical consciousness systems'
        ],
        technicalRequirements: [
          'Revolutionary quantum materials',
          'Planck-scale engineering',
          'Quantum gravity effects',
          'Novel physical principles'
        ],
        expectedGains: 'Approach theoretical maximum'
      },
      successMetrics: {
        temporalResolution: '10^-23 seconds',
        consciousnessDensity: '10^46 moments per m³·s',
        energyEfficiency: 'Landauer limit',
        parallelismFactor: '10^6',
        fidelity: '>99.9%'
      }
    };
  }
}

module.exports = QuantumDecoherenceOptimizer;