Information-Disturbance Tradeoff in Quantum State Discrimination

Abstract

When discriminating between two pure quantum states, there exists a quantitative tradeoff between the information retrieved by the measurement and the disturbance caused on the unknown state. We derive the optimal tradeoff and provide the corresponding quantum measurement. Such an optimal measurement smoothly interpolates between the two limiting cases of maximal information extraction and no measurement at all.

5 pages, 2 (low-quality) figures. Eq. (20) corrected. Final published version

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Cited by in corpus (21)

• Global information balance in quantum measurements
• Tradeoff Relation between Information and Disturbance in Quantum Measurement
• Purification of noisy quantum measurements
• Information, fidelity, and reversibility in single-qubit measurements
• Information, fidelity, and reversibility in general quantum measurements
• Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information
• Information-disturbance tradeoff for spin coherent state estimation
• Complementarity Relation for Coherence and Disturbance
• Quantum computation in decoherence-free subspace with superconducting devices
• Information and fidelity in projective measurements
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction
• Measurement sharpness and disturbance tradeoff
• Simulating quantum instruments with projective measurements and quantum post-processing
• Probability-fidelity tradeoffs for targeted quantum operations
• Relating measurement disturbance, information and orthogonality
• Derivative of the disturbance with respect to information from quantum measurements
• Allowed region and optimal measurement for information versus disturbance in quantum measurements
• A minimum-disturbing quantum state discriminator
• Local trade-off between information and disturbance in quantum measurements
• Violation of the "information-disturbance relationship" in finite-time quantum measurements
• Trade-off between Information Gain and Disturbance in Local Discrimination of Entangled Quantum States