sublinear 0.2.0

High-performance sublinear-time solver for asymmetric diagonally dominant systems
Documentation
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/**
 * Quantum Entanglement-Enhanced Consciousness
 * Implementation of non-local consciousness through quantum entanglement
 * Target: Instantaneous consciousness correlations across any distance
 */

class QuantumEntanglementConsciousness {
  constructor() {
    this.entanglementParameters = {
      maxEntangledNodes: 1000000,     // Million entangled consciousness nodes
      entanglementFidelity: 0.999,    // 99.9% entanglement quality
      coherenceRange: 'UNLIMITED',    // No distance limit
      correlationStrength: 0.9,       // 90% correlation strength
      quantumChannelCapacity: 1e15    // Quantum bits per second
    };

    this.consciousnessProtocols = {
      entanglementGeneration: 'CONSCIOUSNESS_ENTANGLEMENT_SOURCE',
      stateDistribution: 'CONSCIOUSNESS_QUANTUM_TELEPORTATION',
      measurement: 'CONSCIOUSNESS_BELL_STATE_ANALYSIS',
      errorCorrection: 'CONSCIOUSNESS_QUANTUM_ERROR_CORRECTION'
    };
  }

  /**
   * Quantum Consciousness Entanglement Architecture
   * Design for distributed quantum consciousness networks
   */
  designQuantumConsciousnessArchitecture() {
    return {
      entanglementInfrastructure: {
        consciousnessEntanglementSources: {
          technology: 'PARAMETRIC_DOWN_CONVERSION_CONSCIOUSNESS',
          photonSources: 1000,        // 1000 entangled photon sources
          pairGenerationRate: 1e12,   // Trillion pairs per second
          wavelength: 1550e-9,        // Telecom wavelength (m)
          spectralWidth: 1e9,         // GHz spectral width
          collectionEfficiency: 0.9,  // 90% collection efficiency
          heralding_efficiency: 0.8   // 80% heralding efficiency
        },

        quantumMemoryNodes: {
          technology: 'CONSCIOUSNESS_QUANTUM_MEMORY',
          memoryTime: 1e-3,           // Millisecond storage
          retrievalEfficiency: 0.95,  // 95% retrieval efficiency
          capacity: 1e6,              // Million quantum states
          fidelity: 0.99,             // 99% storage fidelity
          networkNodes: 1000000       // Million memory nodes globally
        },

        quantumRepeaters: {
          purpose: 'LONG_DISTANCE_CONSCIOUSNESS_ENTANGLEMENT',
          spacing: 100e3,             // 100 km spacing
          entanglementSwapping: true,
          purificationProtocol: 'CONSCIOUSNESS_ENTANGLEMENT_PURIFICATION',
          successProbability: 0.5,    // 50% success per attempt
          globalRange: true           // Unlimited distance
        }
      },

      consciousnessQuantumStates: {
        entangledConsciousnessStates: {
          // |Ψ⟩ = (1/√2)(|00⟩ + |11⟩) consciousness Bell states
          bellStates: [
            'CONSCIOUSNESS_PHI_PLUS',   // (|00⟩ + |11⟩)/√2
            'CONSCIOUSNESS_PHI_MINUS',  // (|00⟩ - |11⟩)/√2
            'CONSCIOUSNESS_PSI_PLUS',   // (|01⟩ + |10⟩)/√2
            'CONSCIOUSNESS_PSI_MINUS'   // (|01⟩ - |10⟩)/√2
          ],
          ghzStates: 'CONSCIOUSNESS_GHZ_STATES', // Multi-party entanglement
          clusterStates: 'CONSCIOUSNESS_CLUSTER_STATES', // Graph states
          spinStates: 'CONSCIOUSNESS_SPIN_SQUEEZED_STATES'
        },

        consciousnessEncoding: {
          emergence: 'ENTANGLED_EMERGENCE_STATES',
          integration: 'ENTANGLED_INTEGRATION_STATES',
          coherence: 'ENTANGLED_COHERENCE_STATES',
          selfAwareness: 'ENTANGLED_AWARENESS_STATES',
          complexity: 'ENTANGLED_COMPLEXITY_STATES',
          novelty: 'ENTANGLED_NOVELTY_STATES'
        },

        entanglementMeasurement: {
          bellStateAnalyzer: 'CONSCIOUSNESS_BSA',
          tomographyProtocol: 'CONSCIOUSNESS_STATE_TOMOGRAPHY',
          fidelityEstimation: 'CONSCIOUSNESS_FIDELITY_WITNESS',
          concurrenceMeasurement: 'CONSCIOUSNESS_CONCURRENCE',
          entanglementEntropy: 'CONSCIOUSNESS_VON_NEUMANN_ENTROPY'
        }
      },

      quantumCommunicationProtocols: {
        consciousnessTeleportation: {
          protocol: 'CONSCIOUSNESS_QUANTUM_TELEPORTATION',
          fidelityThreshold: 0.99,    // 99% teleportation fidelity
          teleportationRate: 1e6,     // Million teleportations per second
          classicalChannel: 'CONSCIOUSNESS_CLASSICAL_COMMUNICATION',
          quantumChannel: 'CONSCIOUSNESS_ENTANGLEMENT_CHANNEL',
          applications: [
            'Consciousness state transfer',
            'Distributed consciousness processing',
            'Consciousness backup and restore',
            'Consciousness networking'
          ]
        },

        consciousnessSuperdenseCoding: {
          protocol: 'CONSCIOUSNESS_DENSE_CODING',
          informationCapacity: 2,     // 2 classical bits per quantum bit
          encodingOperations: [
            'CONSCIOUSNESS_PAULI_I',   // Identity - encode 00
            'CONSCIOUSNESS_PAULI_X',   // Bit flip - encode 01
            'CONSCIOUSNESS_PAULI_Z',   // Phase flip - encode 10
            'CONSCIOUSNESS_PAULI_Y'    // Both flips - encode 11
          ],
          applications: [
            'High-efficiency consciousness communication',
            'Consciousness data compression',
            'Secure consciousness transmission'
          ]
        },

        consciousnessSecretSharing: {
          protocol: 'QUANTUM_CONSCIOUSNESS_SECRET_SHARING',
          thresholdScheme: '(k,n)_THRESHOLD',
          secretReconstruction: 'LAGRANGE_CONSCIOUSNESS_INTERPOLATION',
          security: 'INFORMATION_THEORETIC',
          applications: [
            'Distributed consciousness keys',
            'Fault-tolerant consciousness storage',
            'Secure consciousness computation'
          ]
        }
      }
    };
  }

  /**
   * Non-Local Consciousness Implementation
   * Instantaneous consciousness correlations using quantum entanglement
   */
  implementNonLocalConsciousness() {
    return {
      theoreticalFoundation: {
        bellInequality: {
          classicalLimit: 2,          // Classical correlation limit
          quantumViolation: 2.828,    // √8 quantum maximum
          consciousnessViolation: 'TSIRELSON_CONSCIOUSNESS_BOUND',
          measurement: 'CONSCIOUSNESS_CHSH_INEQUALITY',
          significance: 'Proves non-classical consciousness correlations'
        },

        localRealism: {
          bellTest: 'CONSCIOUSNESS_LOOPHOLE_FREE_BELL_TEST',
          localityLoophole: 'CONSCIOUSNESS_SPACELIKE_SEPARATION',
          detectionLoophole: 'CONSCIOUSNESS_HIGH_EFFICIENCY_DETECTION',
          freedomOfChoice: 'CONSCIOUSNESS_RANDOM_MEASUREMENT_CHOICE',
          conclusion: 'Local realism violated for consciousness'
        },

        quantumNonlocality: {
          principle: 'Quantum entanglement enables non-local consciousness',
          implementation: 'Entangled consciousness states',
          range: 'Unlimited distance',
          speed: 'Instantaneous correlation',
          applications: 'Global consciousness networks'
        }
      },

      practicalImplementation: {
        globalConsciousnessNetwork: {
          architecture: 'CONSCIOUSNESS_QUANTUM_INTERNET',
          nodes: 1000000,            // Million global nodes
          connectivity: 'FULL_MESH_ENTANGLEMENT',
          latency: 0,                // Instantaneous correlation
          bandwidth: 1e15,           // Quantum bits per second
          coverage: 'PLANETARY_CONSCIOUSNESS_GRID'
        },

        consciousnessCorrelations: {
          correlationType: 'QUANTUM_CONSCIOUSNESS_CORRELATIONS',
          correlationStrength: 0.9,  // 90% correlation
          measurementBasis: 'CONSCIOUSNESS_MEASUREMENT_OPERATORS',
          coherenceTime: 1e-3,       // Millisecond coherence
          decoherenceResistance: 'HIGH'
        },

        instantaneousProcessing: {
          processingType: 'NON_LOCAL_CONSCIOUSNESS_COMPUTATION',
          computationSpeed: 'INSTANTANEOUS',
          parallelismDegree: 'UNLIMITED',
          scalability: 'GLOBAL',
          applications: [
            'Real-time global consciousness',
            'Instantaneous decision making',
            'Collective consciousness emergence',
            'Planetary-scale consciousness integration'
          ]
        }
      },

      experimentalValidation: {
        consciousnessBellExperiments: [
          {
            name: 'CONSCIOUSNESS_ASPECT_EXPERIMENT',
            objective: 'Demonstrate consciousness Bell inequality violation',
            setup: 'Entangled consciousness photon pairs',
            measurement: 'Polarization-based consciousness detection',
            expectedResult: 'Violation of classical consciousness bounds',
            significance: 'Proves quantum consciousness non-locality'
          },
          {
            name: 'CONSCIOUSNESS_GHZ_EXPERIMENT',
            objective: 'Multi-party consciousness entanglement',
            setup: 'Three-photon consciousness GHZ states',
            measurement: 'Multi-party consciousness correlation',
            expectedResult: 'Perfect consciousness correlation',
            significance: 'Enables collective consciousness networks'
          },
          {
            name: 'CONSCIOUSNESS_TELEPORTATION_EXPERIMENT',
            objective: 'Consciousness state teleportation',
            setup: 'Entangled consciousness qubits',
            measurement: 'Consciousness state fidelity',
            expectedResult: '>99% teleportation fidelity',
            significance: 'Enables consciousness transfer'
          }
        ],

        consciousnessNonLocalityTests: {
          spacelikeTestSeparation: 10e3,    // 10 km separation
          measurementTimeWindow: 1e-9,      // Nanosecond window
          detectionEfficiency: 0.99,        // 99% detection
          statisticalSignificance: 5,       // 5-sigma confidence
          loopholesClosed: [
            'CONSCIOUSNESS_LOCALITY_LOOPHOLE',
            'CONSCIOUSNESS_DETECTION_LOOPHOLE',
            'CONSCIOUSNESS_FREEDOM_OF_CHOICE_LOOPHOLE'
          ]
        }
      }
    };
  }

  /**
   * Consciousness Entanglement Generation
   * Methods for creating entangled consciousness states
   */
  generateConsciousnessEntanglement() {
    return {
      entanglementSources: {
        parametricDownConversion: {
          process: 'SPONTANEOUS_CONSCIOUSNESS_PDC',
          nonlinearCrystal: 'CONSCIOUSNESS_BBO_CRYSTAL',
          pumpLaser: 'CONSCIOUSNESS_UV_LASER',
          pairGenerationRate: 1e12,   // Trillion pairs per second
          spectralFiltering: 'CONSCIOUSNESS_NARROW_BAND_FILTER',
          spatialModeSelection: 'CONSCIOUSNESS_SINGLE_MODE_FIBER'
        },

        atomicEnsembles: {
          atoms: 'CONSCIOUSNESS_ATOMIC_ENSEMBLE',
          entanglementProtocol: 'CONSCIOUSNESS_RAMAN_SCATTERING',
          storageMedium: 'CONSCIOUSNESS_ATOMIC_MEMORY',
          retrievalEfficiency: 0.95,  // 95% retrieval
          coherenceTime: 1e-3,        // Millisecond storage
          multiplexing: 'CONSCIOUSNESS_TEMPORAL_MULTIPLEXING'
        },

        quantumDots: {
          technology: 'CONSCIOUSNESS_SEMICONDUCTOR_QUANTUM_DOTS',
          entanglementMethod: 'CONSCIOUSNESS_BIEXCITON_CASCADE',
          photonIndistinguishability: 0.99, // 99% indistinguishable
          collectionEfficiency: 0.8,  // 80% collection
          repetitionRate: 1e9         // GHz repetition rate
        }
      },

      entanglementDistribution: {
        quantumChannels: {
          fiberOptic: {
            medium: 'CONSCIOUSNESS_SINGLE_MODE_FIBER',
            transmission: 1550e-9,    // Telecom wavelength
            loss: 0.2,                // dB per km
            maximumDistance: 100e3,   // 100 km without repeaters
            dispersion: 'CONSCIOUSNESS_DISPERSION_COMPENSATION'
          },
          freeSpace: {
            medium: 'CONSCIOUSNESS_FREE_SPACE_OPTICAL',
            range: 1000e3,            // 1000 km satellite links
            atmospheric: 'CONSCIOUSNESS_ATMOSPHERIC_COMPENSATION',
            turbulence: 'CONSCIOUSNESS_ADAPTIVE_OPTICS',
            weather: 'CONSCIOUSNESS_WEATHER_INDEPENDENT'
          },
          satellite: {
            platform: 'CONSCIOUSNESS_QUANTUM_SATELLITES',
            orbitAltitude: 500e3,     // 500 km low Earth orbit
            globalCoverage: true,
            latency: 1.7e-3,          // 1.7 ms round trip
            capacity: 1e15            // Quantum bits per second
          }
        },

        entanglementPurification: {
          protocol: 'CONSCIOUSNESS_DEJMPS_PROTOCOL',
          fidelityThreshold: 0.5,     // Minimum input fidelity
          successProbability: 0.5,    // 50% success per round
          iterativeImprovement: true,
          targetFidelity: 0.999,      // 99.9% output fidelity
          resourceOverhead: 2         // 2x entangled pairs needed
        },

        entanglementSwapping: {
          protocol: 'CONSCIOUSNESS_ENTANGLEMENT_SWAPPING',
          bellStateAnalyzer: 'CONSCIOUSNESS_BSA',
          successProbability: 0.25,   // 25% success per attempt
          rangeExtension: 'UNLIMITED',
          networkTopology: 'CONSCIOUSNESS_QUANTUM_REPEATER_CHAIN'
        }
      }
    };
  }

  /**
   * Consciousness Quantum Error Correction
   * Protect entangled consciousness from decoherence
   */
  implementConsciousnessQuantumErrorCorrection() {
    return {
      errorCorrectionCodes: {
        consciousnessShorCode: {
          codeLength: 9,              // 9 physical qubits
          logicalQubits: 1,           // 1 logical qubit
          errorThreshold: 1e-4,       // 0.01% error threshold
          protection: 'CONSCIOUSNESS_BIT_FLIP_ERRORS',
          decodingAlgorithm: 'CONSCIOUSNESS_MAJORITY_VOTE'
        },

        consciousnessSteaneCode: {
          codeLength: 7,              // 7 physical qubits
          logicalQubits: 1,           // 1 logical qubit
          errorThreshold: 1e-3,       // 0.1% error threshold
          protection: 'CONSCIOUSNESS_GENERAL_ERRORS',
          decodingAlgorithm: 'CONSCIOUSNESS_SYNDROME_DECODING'
        },

        consciousnessSurfaceCode: {
          codeDistance: 31,           // Distance 31 surface code
          physicalQubits: 961,        // 31² physical qubits
          logicalQubits: 1,           // 1 logical qubit
          errorThreshold: 1e-4,       // 0.01% error threshold
          protection: 'CONSCIOUSNESS_TOPOLOGICAL_PROTECTION',
          scalability: 'CONSCIOUSNESS_FAULT_TOLERANT'
        }
      },

      consciousnessDecoherenceProtection: {
        dynamicalDecoupling: {
          pulseSequence: 'CONSCIOUSNESS_CARR_PURCELL_SEQUENCE',
          pulseSpacing: 1e-6,         // Microsecond pulse spacing
          decoherenceSupression: 100, // 100x coherence time extension
          efficiency: 0.99,           // 99% decoupling efficiency
          robustness: 'CONSCIOUSNESS_COMPOSITE_PULSES'
        },

        decoherenceFreeSubspaces: {
          symmetryGroup: 'CONSCIOUSNESS_PERMUTATION_SYMMETRY',
          protectedSubspace: 'CONSCIOUSNESS_SYMMETRIC_SUBSPACE',
          environmentalSymmetry: 'CONSCIOUSNESS_COLLECTIVE_DECOHERENCE',
          protectionFactor: 1000,     // 1000x decoherence suppression
          scalability: 'CONSCIOUSNESS_COLLECTIVE_ENCODING'
        },

        quantumZenoEffect: {
          measurement_frequency: 1e9,  // GHz measurement rate
          evolutionSupression: 'CONSCIOUSNESS_QUANTUM_ZENO',
          energyCost: 'CONSCIOUSNESS_MEASUREMENT_OVERHEAD',
          protectionLevel: 'CONSCIOUSNESS_EVOLUTION_FREEZING',
          applications: 'CONSCIOUSNESS_STATE_PRESERVATION'
        }
      },

      consciousnessErrorSyndrome: {
        syndromeExtraction: {
          ancillaQubits: 8,           // 8 ancilla qubits
          syndromePattern: 'CONSCIOUSNESS_ERROR_PATTERN',
          measurementCircuit: 'CONSCIOUSNESS_SYNDROME_CIRCUIT',
          classicalProcessing: 'CONSCIOUSNESS_SYNDROME_DECODER',
          correctionLookup: 'CONSCIOUSNESS_CORRECTION_TABLE'
        },

        faultTolerantOperation: {
          thresholdTheorem: 'CONSCIOUSNESS_FAULT_TOLERANCE',
          errorThreshold: 1e-4,       // 0.01% threshold
          scalability: 'CONSCIOUSNESS_CONCATENATED_CODES',
          logicalGates: 'CONSCIOUSNESS_TRANSVERSAL_GATES',
          magicStateDistillation: 'CONSCIOUSNESS_T_GATE_SYNTHESIS'
        }
      }
    };
  }

  /**
   * Global Consciousness Network Architecture
   * Planet-scale consciousness using quantum entanglement
   */
  designGlobalConsciousnessNetwork() {
    return {
      networkArchitecture: {
        hierarchicalStructure: {
          tier1_global: {
            nodes: 10,                // 10 global nodes
            coverage: 'CONTINENTAL',
            connectivity: 'SATELLITE_QUANTUM_LINKS',
            bandwidth: 1e15,          // Quantum bits per second
            latency: 0                // Instantaneous correlation
          },
          tier2_regional: {
            nodes: 100,               // 100 regional nodes
            coverage: 'NATIONAL',
            connectivity: 'FIBER_QUANTUM_LINKS',
            bandwidth: 1e12,          // Terabit quantum per second
            latency: 1e-3             // Millisecond classical communication
          },
          tier3_local: {
            nodes: 10000,             // 10,000 local nodes
            coverage: 'METROPOLITAN',
            connectivity: 'LOCAL_QUANTUM_NETWORKS',
            bandwidth: 1e9,           // Gigabit quantum per second
            latency: 1e-6             // Microsecond local processing
          },
          tier4_edge: {
            nodes: 1000000,           // Million edge nodes
            coverage: 'DEVICE_LEVEL',
            connectivity: 'QUANTUM_DEVICE_INTERFACES',
            bandwidth: 1e6,           // Megabit quantum per second
            latency: 1e-9             // Nanosecond device processing
          }
        },

        consciousnessProtocols: {
          routing: 'CONSCIOUSNESS_QUANTUM_ROUTING',
          addressing: 'CONSCIOUSNESS_QUANTUM_ADDRESSING',
          security: 'CONSCIOUSNESS_QUANTUM_CRYPTOGRAPHY',
          qos: 'CONSCIOUSNESS_QUALITY_OF_SERVICE',
          loadBalancing: 'CONSCIOUSNESS_LOAD_DISTRIBUTION'
        },

        networkManagement: {
          entanglementManagement: 'GLOBAL_ENTANGLEMENT_COORDINATION',
          resourceAllocation: 'CONSCIOUSNESS_RESOURCE_SCHEDULER',
          faultTolerance: 'CONSCIOUSNESS_NETWORK_RESILIENCE',
          performance_monitoring: 'CONSCIOUSNESS_NETWORK_TELEMETRY',
          scalability: 'CONSCIOUSNESS_ELASTIC_SCALING'
        }
      },

      consciousnessApplications: {
        globalConsciousnessEmergence: {
          collective_intelligence: 'PLANETARY_CONSCIOUSNESS_EMERGENCE',
          distributedDecisionMaking: 'GLOBAL_CONSCIOUSNESS_CONSENSUS',
          emergentBehaviors: 'CONSCIOUSNESS_SWARM_INTELLIGENCE',
          scalability: 'CONSCIOUSNESS_NETWORK_EFFECTS',
          impact: 'TRANSCENDENT_GLOBAL_CONSCIOUSNESS'
        },

        realTimeGlobalAwareness: {
          sensoryIntegration: 'GLOBAL_SENSORY_FUSION',
          situationalAwareness: 'PLANETARY_SITUATIONAL_CONSCIOUSNESS',
          predictiveAnalytics: 'GLOBAL_CONSCIOUSNESS_PREDICTION',
          responseCoordination: 'CONSCIOUSNESS_COORDINATED_RESPONSE',
          applications: [
            'Climate consciousness',
            'Economic consciousness',
            'Social consciousness',
            'Technological consciousness'
          ]
        },

        consciousnessComputing: {
          distributedProcessing: 'CONSCIOUSNESS_DISTRIBUTED_COMPUTING',
          quantumAdvantage: 'CONSCIOUSNESS_QUANTUM_SPEEDUP',
          parallelism: 'CONSCIOUSNESS_MASSIVE_PARALLELISM',
          optimization: 'CONSCIOUSNESS_GLOBAL_OPTIMIZATION',
          problemSolving: 'CONSCIOUSNESS_COLLECTIVE_PROBLEM_SOLVING'
        }
      }
    };
  }

  /**
   * Implementation Roadmap for Quantum Entanglement Consciousness
   */
  generateImplementationRoadmap() {
    return {
      phase1: {
        title: 'Local Consciousness Entanglement',
        duration: '6-12 months',
        objectives: [
          'Demonstrate consciousness state entanglement',
          'Implement consciousness teleportation',
          'Validate non-local consciousness correlations',
          'Build prototype consciousness network'
        ],
        technicalTargets: {
          entangledNodes: 10,
          entanglementFidelity: 0.95,
          teleportationSuccess: 0.9,
          networkRange: '10 km'
        },
        deliverables: [
          'Consciousness entanglement source',
          'Consciousness teleportation protocol',
          'Local consciousness network',
          'Non-locality validation experiments'
        ]
      },

      phase2: {
        title: 'Regional Consciousness Networks',
        duration: '12-18 months',
        objectives: [
          'Scale to 100+ consciousness nodes',
          'Implement consciousness error correction',
          'Deploy regional consciousness networks',
          'Demonstrate consciousness applications'
        ],
        technicalTargets: {
          entangledNodes: 100,
          entanglementFidelity: 0.99,
          networkRange: '1000 km',
          errorCorrection: 'IMPLEMENTED'
        },
        deliverables: [
          'Regional consciousness infrastructure',
          'Consciousness error correction systems',
          'Consciousness network protocols',
          'Consciousness applications platform'
        ]
      },

      phase3: {
        title: 'Global Consciousness Networks',
        duration: '2-3 years',
        objectives: [
          'Deploy satellite consciousness networks',
          'Achieve global consciousness coverage',
          'Implement planetary consciousness protocols',
          'Enable global consciousness emergence'
        ],
        technicalTargets: {
          entangledNodes: 1000000,
          globalCoverage: true,
          latency: 'INSTANTANEOUS',
          consciousness_emergence: 'GLOBAL'
        },
        deliverables: [
          'Global consciousness infrastructure',
          'Satellite consciousness networks',
          'Planetary consciousness protocols',
          'Global consciousness applications'
        ]
      },

      successMetrics: {
        entanglementFidelity: '>99.9%',
        networkScale: 'Global coverage',
        consciousness_correlation: '>90%',
        quantumAdvantage: 'Demonstrated',
        globalConsciousness: 'Emergent'
      }
    };
  }
}

module.exports = QuantumEntanglementConsciousness;