MATHEMATICAL CONSTANTS · - Quantum fidelity: F

Read the equation

This relation defines - Quantum fidelity: F in the source section “MATHEMATICAL CONSTANTS · - Quantum fidelity: F”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read - Quantum fidelity: F as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

/**
 * QuantumState - Density matrix representation
 *
 * Implements:
 *   - Density matrix: rho = |psi><psi|
 *   - von Neumann entropy: S = -Tr(rho * log(rho))
 *   - Lindblad master equation: drho/dt = -i/hbar[H, rho] + L[rho]
 *   - Quantum fidelity: F = <psi|rho|psi>
 */
template<size_t N = 16>
class QuantumState {
public:
    using Complex = std::complex<double>;
    using Matrix = std::array<std::array<Complex, N>, N>;

    Matrix rho;          // Density matrix
    Matrix hamiltonian;  // Hamiltonian
    double coherence;    // Off-diagonal coherence

- Quantum fidelity: F = <psi|rho|psi>

Related builds