Information, fidelity, and reversibility in general quantum measurements

Abstract

We present the amounts of information, fidelity, and reversibility obtained by arbitrary quantum measurements on completely unknown states. These quantities are expressed as functions of the singular values of a measurement operator corresponding to the obtained outcome. As an example, we consider a class of quantum measurements with highly degenerate singular values to discuss tradeoffs among information, fidelity, and reversibility. The tradeoffs are at the level of a single outcome, in the sense that the quantities pertain to each single outcome rather than the average over all possible outcomes.

33 pages, 5 figures

References in corpus (9)

• Undoing a weak quantum measurement of a solid-state qubit
• Balance between information gain and reversibility in weak measurement
• Global information balance in quantum measurements
• Information-disturbance tradeoff in estimating a maximally entangled state
• Information-Disturbance Tradeoff in Quantum State Discrimination
• Information-disturbance tradeoff in quantum measurement on the uniform ensemble and on the mutually unbiased bases
• Information, fidelity, and reversibility in single-qubit measurements
• Information, fidelity, and reversibility in photodetection processes
• Probabilistic reversing operation with fidelity and purity gain for macroscopic quantum superposition

Cited by in corpus (9)

• Global triplewise information trade-off in quantum measurement
• Complete Information Balance in Quantum Measurement
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• Complementarity Relation for Coherence and Disturbance
• Measurement sharpness and disturbance tradeoff
• Allowed region and optimal measurement for information versus disturbance in quantum measurements
• Derivative of the disturbance with respect to information from quantum measurements
• Local trade-off between information and disturbance in quantum measurements
• Information conservation relations for weak measurement and its reversal