Entropic Lower Bound for Distinguishability of Quantum States

For a system randomly prepared in a number of quantum states, we present a lower bound for the distinguishability of the quantum states, that is, the success probability of determining the states in the form of entropy. When the states are all pure, acquiring the entropic lower bound requires only t...

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Main Authors: Seungho Yang, Jinhyoung Lee, Hyunseok Jeong
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/683658
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author Seungho Yang
Jinhyoung Lee
Hyunseok Jeong
author_facet Seungho Yang
Jinhyoung Lee
Hyunseok Jeong
author_sort Seungho Yang
collection DOAJ
description For a system randomly prepared in a number of quantum states, we present a lower bound for the distinguishability of the quantum states, that is, the success probability of determining the states in the form of entropy. When the states are all pure, acquiring the entropic lower bound requires only the density operator and the number of the possible states. This entropic bound shows a relation between the von Neumann entropy and the distinguishability.
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institution Kabale University
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spelling doaj-art-3574f4e8212342308c0dbb78f2e291cf2025-02-03T05:49:33ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/683658683658Entropic Lower Bound for Distinguishability of Quantum StatesSeungho Yang0Jinhyoung Lee1Hyunseok Jeong2Center for Macroscopic Quantum Control, Department of Physics and Astronomy, Seoul National University, Seoul 151-742, Republic of KoreaCenter for Macroscopic Quantum Control, Department of Physics and Astronomy, Seoul National University, Seoul 151-742, Republic of KoreaCenter for Macroscopic Quantum Control, Department of Physics and Astronomy, Seoul National University, Seoul 151-742, Republic of KoreaFor a system randomly prepared in a number of quantum states, we present a lower bound for the distinguishability of the quantum states, that is, the success probability of determining the states in the form of entropy. When the states are all pure, acquiring the entropic lower bound requires only the density operator and the number of the possible states. This entropic bound shows a relation between the von Neumann entropy and the distinguishability.http://dx.doi.org/10.1155/2015/683658
spellingShingle Seungho Yang
Jinhyoung Lee
Hyunseok Jeong
Entropic Lower Bound for Distinguishability of Quantum States
Advances in Mathematical Physics
title Entropic Lower Bound for Distinguishability of Quantum States
title_full Entropic Lower Bound for Distinguishability of Quantum States
title_fullStr Entropic Lower Bound for Distinguishability of Quantum States
title_full_unstemmed Entropic Lower Bound for Distinguishability of Quantum States
title_short Entropic Lower Bound for Distinguishability of Quantum States
title_sort entropic lower bound for distinguishability of quantum states
url http://dx.doi.org/10.1155/2015/683658
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AT jinhyounglee entropiclowerboundfordistinguishabilityofquantumstates
AT hyunseokjeong entropiclowerboundfordistinguishabilityofquantumstates