Towards a unified approach to information-disturbance tradeoffs in quantum measurements

Abstract

We show that the global balance of information dynamics for general quantum measurements given in [F. Buscemi, M. Hayashi, and M. Horodecki, Phys.Rev.Lett. 100, 210504 (2008)] makes it possible to unify various and generally inequivalent approaches adopted in order to derive information-disturbance tradeoffs in quantum theory. We focus in particular on those tradeoffs, constituting the vast majority of the literature on the subject, where disturbance is defined either in terms of average output fidelity or of entanglement fidelity.

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• Entropic trade-off relations for quantum operations
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Tight Bounds on the Accessible Information and the Informational Power
• Strong convergence of quantum channels: continuity of the Stinespring dilation and discontinuity of the unitary dilation
• Dependence of integrated, instantaneous, and fluctuating entropy production on the initial state in quantum and classical processes
• Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy
• Resource theoretic efficacy of the single copy of a two-qubit entangled state in a sequential network
• Verifying detailed fluctuation relations for discrete feedback-controlled quantum dynamics
• Universality and Optimality in the Information-Disturbance Tradeoff
• Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
• Correlation measures of a quantum state and information characteristics of a quantum channel
• On lower semicontinuity of the quantum conditional mutual information and its corollaries
• Transferring elements of a density matrix
• New monotonicity property of the quantum relative entropy
• Lower semicontinuity of the relative entropy disturbance and its corollaries