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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2015-01-01
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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. |
format | Article |
id | doaj-art-3574f4e8212342308c0dbb78f2e291cf |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
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 |
work_keys_str_mv | AT seunghoyang entropiclowerboundfordistinguishabilityofquantumstates AT jinhyounglee entropiclowerboundfordistinguishabilityofquantumstates AT hyunseokjeong entropiclowerboundfordistinguishabilityofquantumstates |