Quantum Information Theory

// Quantum Information Theory Framework class QuantumInformationTheory { constructor() { this.qubits = []; this.gates = []; this.circuits = []; this.algorithms = []; } // Quantum State Representation representQuantumState(qubits, state) { const quantumState = { qubits: qubits, state: state, amplitude: null, phase: null, measurement: null, evolution: null }; // Amplitude Calculation quantumState.amplitude = this.calculateAmplitude(qubits, state); // Phase Calculation quantumState.phase = this.calculatePhase(quantumState.amplitude); // Measurement Probability quantumState.measurement = this.calculateMeasurement(quantumState.phase); // State Evolution quantumState.evolution = this.evolveState(quantumState.measurement); return quantumState; } // Quantum Gates applyQuantumGate(gate, qubits) { const quantumGate = { gate: gate, qubits: qubits, operation: null, matrix: null, effect: null, result: null }; // Gate Operation quantumGate.operation = this.defineOperation(gate, qubits); // Matrix Representation quantumGate.matrix = this.constructMatrix(quantumGate.operation); // Gate Effect quantumGate.effect = this.calculateEffect(quantumGate.matrix); // Result State quantumGate.result = this.applyEffect(quantumGate.effect); return quantumGate; } // Quantum Circuits constructQuantumCircuit(gates, qubits) { const quantumCircuit = { gates: gates, qubits: qubits, structure: null, execution: null, measurement: null, result: null }; // Circuit Structure quantumCircuit.structure = this.defineStructure(gates, qubits); // Circuit Execution quantumCircuit.execution = this.executeCircuit(quantumCircuit.structure); // Measurement quantumCircuit.measurement = this.performMeasurement(quantumCircuit.execution); // Final Result quantumCircuit.result = this.interpretResult(quantumCircuit.measurement); return quantumCircuit; } // Quantum Algorithms implementQuantumAlgorithm(algorithm, input) { const quantumAlgorithm = { algorithm: algorithm, input: input, preparation: null, computation: null, measurement: null, output: null }; // State Preparation quantumAlgorithm.preparation = this.prepareState(algorithm, input); // Quantum Computation quantumAlgorithm.computation = this.performComputation(quantumAlgorithm.preparation); // Final Measurement quantumAlgorithm.measurement = this.measureResult(quantumAlgorithm.computation); // Output Interpretation quantumAlgorithm.output = this.interpretOutput(quantumAlgorithm.measurement); return quantumAlgorithm; } // Quantum Entanglement createEntanglement(qubits, state) { const entanglement = { qubits: qubits, state: state, correlation: null, nonlocality: null, measurement: null, violation: null }; // Correlation Analysis entanglement.correlation = this.analyzeCorrelation(qubits, state); // Nonlocality Test entanglement.nonlocality = this.testNonlocality(entanglement.correlation); // Bell Measurement entanglement.measurement = this.performBellMeasurement(entanglement.nonlocality); // Bell Inequality Violation entanglement.violation = this.testBellInequality(entanglement.measurement); return entanglement; } // Quantum Error Correction implementErrorCorrection(code, errors) { const errorCorrection = { code: code, errors: errors, detection: null, correction: null, recovery: null, fidelity: null }; // Error Detection errorCorrection.detection = this.detectErrors(code, errors); // Error Correction errorCorrection.correction = this.correctErrors(errorCorrection.detection); // State Recovery errorCorrection.recovery = this.recoverState(errorCorrection.correction); // Fidelity Assessment errorCorrection.fidelity = this.assessFidelity(errorCorrection.recovery); return errorCorrection; } }