Information, fidelity, and reversibility in single-qubit measurements

2011/01/07 by Hiroaki Terashima
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computer science #Fidelity #High fidelity #Mathematical economics #Mathematics #Operator (biology) #Outcome (game theory) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Qubit #State (computer science) #Statistical physics #Telecommunications #quant-ph

paper · pdf · doi:10.1103/physreva.83.032114

published as Phys.Rev. A83 (2011) 032114 · 14 pages, 3 figures

arxiv created 2011/01/07 · openalex publication_date 2011/03/17 · arxiv updated 2011/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We explicitly calculate information, fidelity, and reversibility of an arbitrary single-qubit measurement on a completely unknown state. These quantities are expressed as functions of a single parameter, which is the ratio of the two singular values of the measurement operator corresponding to the obtained outcome. Thus, our results give information tradeoff relations to the fidelity and to the reversibility at the level of a single outcome rather than that of an overall outcome average.

Citations

• Information Tradeoff Relations for Finite-Strength Quantum Measurements
• Information-Disturbance Tradeoff in Estimating a Maximally Entangled State
• Quantum cryptography using any two nonorthogonal states
• Reversible quantum operations and their application to teleportation
• Information-disturbance tradeoff in quantum measurements
• Quantum cryptography based on Bell’s theorem
• Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information
• Information-disturbance trade-off in quantum-state discrimination
• Hermitian conjugate measurement
• Global Information Balance in Quantum Measurements