Read the equation
This relation defines - von Neumann entropy: S in the source section “MATHEMATICAL CONSTANTS · - von Neumann entropy: S”. Uses logarithmic scaling; its base and the positivity of its argument matter. 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
Read - von Neumann entropy: S as the quantity being defined or updated by this relation.
Uses logarithmic scaling; its base and the positivity of its argument matter.
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
Read the surrounding source passage
//=============================================================================
/**
* 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 matrixExact original notation
- von Neumann entropy: S = -Tr(rho * log(rho))