Information, fidelity, and reversibility in single-qubit measurements

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.

14 pages, 3 figures

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Cited by in corpus (10)

• Balance between information gain and reversibility in weak measurement
• Tradeoff Relation between Information and Disturbance in Quantum Measurement
• Global triplewise information trade-off in quantum measurement
• Information, fidelity, and reversibility in general quantum measurements
• Spin-exchange collisions in hot vapors create and sustain bipartite entanglement
• Complete Information Balance in Quantum Measurement
• Information and fidelity in projective measurements
• Allowed region and optimal measurement for information versus disturbance in quantum measurements
• Derivative of the disturbance with respect to information from quantum measurements
• Information-Theoretic Analysis of Weak Measurements and Their Reversal