Quantum State & Gate Fidelity | Metric of Simulation Precision
Quick Technical Answer:
Quantum state fidelity F(ρ, σ) measures the statistical distance between two quantum states, ranging from 0 (completely orthogonal) to 1 (identical states). For pure states, it equals the squared overlap: F(|ψ⟩, |φ⟩) = |⟨ψ|φ⟩|².
Formula / Unitary:
F(\rho, \sigma) = \left( \text{Tr}\sqrt{\sqrt{\rho}\sigma\sqrt{\rho}} \right)^2, \quad F(|\psi\rangle, |\phi\rangle) = |\langle\psi|\phi\rangle|^2
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Frequently Asked Questions
How does Itachi Quantum Studio benchmark fidelity?
Itachi validates all client-side simulations against its native C++20 AVX2 engine, confirming exact state fidelity F = 1.00000 across all canonical algorithm presets.