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.

References in corpus (6)

• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• A Sharp Fannes-type Inequality for the von Neumann Entropy
• Clean Positive Operator Valued Measures
• Global information balance in quantum measurements
• Uncertainty, Monogamy, and Locking of Quantum Correlations
• Channel correction via quantum erasure

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• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• 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
• Transferring elements of a density matrix
• 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
• Lower semicontinuity of the relative entropy disturbance and its corollaries
• New monotonicity property of the quantum relative entropy