Entropic information-disturbance tradeoff

Abstract

We show the flaws found in the customary fidelity-based definitions of disturbance in quantum measurements and evolutions. We introduce the "entropic disturbance" D and show that it adequately measures the degree of disturbance, intended essentially as an irreversible change in the state of the system. We also find that it complies with an information-disturbance tradeoff, namely the mutual information between the eigenvalues of the initial state and the measurement results is less than or equal to D.

4 pages, 1 figure. Revised version

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• Entropic trade-off relations for quantum operations
• Qualitative Noise-Disturbance Relation for Quantum Measurements
• A Resource Theory of Quantum Measurements
• Coherence and realism in the Aharonov-Bohm effect
• Statistical Complexity of Quantum Learning
• Measurement uncertainty relations for position and momentum: Relative entropy formulation
• Complementarity Relation for Coherence and Disturbance
• Universality and Optimality in the Information-Disturbance Tradeoff
• Stronger Error Disturbance Relations for Incompatible Quantum Measurements
• Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
• Transferring elements of a density matrix
• Quantum Measurement Reliability versus Reversibility
• Violation of the "information-disturbance relationship" in finite-time quantum measurements