Spedalieri, Gaetana and Braunstein, Samuel Leon orcid.org/0000-0003-4790-136X (2014) Asymmetric quantum hypothesis testing with Gaussian states. Physical Review A. 052307. ISSN 1094-1622
Abstract
We consider the asymmetric formulation of quantum hypothesis testing, where two quantum hypotheses have different associated costs. In this problem, the aim is to minimize the probability of false negatives and the optimal performance is provided by the quantum Hoeffding bound. After a brief review of these notions, we show how this bound can be simplified for pure states. We then provide a general recipe for its computation in the case of multimode Gaussian states, also showing its connection with other easier-to-compute lower bounds. In particular, we provide analytical formulas and numerical results for important classes of one- and two-mode Gaussian states.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 American Physical Society. Reproduced in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Depositing User: | Pure (York) |
Date Deposited: | 04 Dec 2015 10:09 |
Last Modified: | 28 Oct 2024 00:54 |
Published Version: | https://doi.org/10.1103/PhysRevA.90.052307 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1103/PhysRevA.90.052307 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:81539 |