Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0510104 · Physical Review A

Information-disturbance tradeoff in quantum measurements

Lorenzo Maccone

Published Apr 10, 2006• 57 citations
arXivHTMLPDF

Abstract

We present a simple information-disturbance tradeoff relation valid for any general measurement apparatus: The disturbance between input and output states is lower bounded by the information the apparatus provides in distinguishing these two states.
DOI
10.1103/physreva.73.042307

Related papers

Towards a Unified Approach to Information-Disturbance Tradeoffs in Quantum Measurements

Francesco Buscemi, Michał Horodecki

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.

arXiv:0810.1310•Open Systems & Information Dynamics•Mar 1, 2009•23 citations

Noise and Disturbance in Quantum Measurements: An Information-Theoretic Approach

Francesco Buscemi, Michael J. W. Hall, Masanao Ozawa +1 more

We introduce information-theoretic definitions for noise and disturbance in quantum measurements and prove a state-independent noise-disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under the relabelling of outcomes and allow for the possibility of using quantum or classical operations to "correct" for the disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.

arXiv:1310.6603•Physical Review Letters•Feb 3, 2014•135 citations

Information-disturbance tradeoff in covariant quantum state estimation

Massimiliano Federico Sacchi

We provide a general framework for quantifying the optimal tradeoff between the information retrieved by a quantum measurement and the disturbance on the quantum state in covariant quantum state estimation.

arXiv:quant-ph/0702033•Feb 5, 2007•0 citations

Information-disturbance tradeoff in quantum measurement on the uniform ensemble

Howard Barnum

The author considers the tradeoff between information gained about a quantum state and disturbance caused by the measurement providing the information. For every measurement, he finds the way of making it which is least-disturbing, on average, when the initial quantum state is completely unknown.

IEEE International Symposium on Information Theory (ISIT)•Nov 13, 2002•8 citations

Information-disturbance tradeoff for spin coherent state estimation

Massimiliano Federico Sacchi

We show how to quantify the optimal tradeoff between the amount of information retrieved by a quantum measurement in estimating an unknown spin coherent state and the disturbance on the state itself, and how to derive the corresponding minimum-disturbing measurement.

arXiv:quant-ph/0610246•Physical Review A•Jan 4, 2007•14 citations

Information-Disturbance Tradeoff in Estimating a Maximally Entangled State

Massimiliano Federico Sacchi

We derive the amount of information retrieved by a quantum measurement in estimating an unknown maximally entangled state, along with the pertaining disturbance on the state itself. The optimal tradeoff between information and disturbance is obtained, and a corresponding optimal measurement is provided.

arXiv:quant-ph/0605158•Physical Review Letters•Jun 5, 2006•54 citations
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.
We introduce information-theoretic definitions for noise and disturbance in quantum measurements and prove a state-independent noise-disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under the relabelling of outcomes and allow for the possibility of using quantum or classical operations to "correct" for the disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.