Quantum Cramer-Rao: Var(theta-hat) >= 1/F_Q; F_Q = Tr(rho L_theta^2); SLD spectral resolution

Layer 1 — Physicsin the quantum-information-physics subtree

Quantum Fisher Information / quantum Cramer-Rao framework (Helstrom 1976 Quantum Detection and Estimation Theory; Holevo 1982 Probabilistic and Statistical Aspects of Quantum Theory; Braunstein-Caves 1994 PRL 72, 3439). Setup: parameter…

Related concepts

Spectral theorem (unbounded, self-adjoint)
Theorem: F_Q = 1 for pure-state family |psi> = cos(theta/2)|0> + sin(theta/2)|1>

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