Impossibility of Distinguishing Two Preparations for a Pure State from No-signaling

A pure state of a physical system can be prepared in an infinite number of ways. Quantum theory dictates that given a pure state of a physical system it is impossible to distinguish two preparation procedures. Here, we show that the impossibility of distinguishing two preparation procedures for the...

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Main Author: Arun Kumar Pati
Format: Article
Language:English
Published: Quanta 2020-10-01
Series:Quanta
Online Access:https://dankogeorgiev.com/ojs/index.php/quanta/article/view/54
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author Arun Kumar Pati
author_facet Arun Kumar Pati
author_sort Arun Kumar Pati
collection DOAJ
description A pure state of a physical system can be prepared in an infinite number of ways. Quantum theory dictates that given a pure state of a physical system it is impossible to distinguish two preparation procedures. Here, we show that the impossibility of distinguishing two preparation procedures for the same pure state follows from the no-signaling principle. Extending this result for a pure bipartite entangled state entails that the impossibility of distinguishing two preparation procedures for a mixed state follows from the impossibility of distinguishing two preparations for a pure bipartite state. Quanta 2020; 9: 16–21.
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spelling doaj-art-2fbadde2e5fd46cf9cefc0b2a7b3ed952025-08-20T03:22:57ZengQuantaQuanta1314-73742020-10-01910.12743/quanta.v9i1.11954Impossibility of Distinguishing Two Preparations for a Pure State from No-signalingArun Kumar Pati0Harish-Chandra Research Institute A pure state of a physical system can be prepared in an infinite number of ways. Quantum theory dictates that given a pure state of a physical system it is impossible to distinguish two preparation procedures. Here, we show that the impossibility of distinguishing two preparation procedures for the same pure state follows from the no-signaling principle. Extending this result for a pure bipartite entangled state entails that the impossibility of distinguishing two preparation procedures for a mixed state follows from the impossibility of distinguishing two preparations for a pure bipartite state. Quanta 2020; 9: 16–21. https://dankogeorgiev.com/ojs/index.php/quanta/article/view/54
spellingShingle Arun Kumar Pati
Impossibility of Distinguishing Two Preparations for a Pure State from No-signaling
Quanta
title Impossibility of Distinguishing Two Preparations for a Pure State from No-signaling
title_full Impossibility of Distinguishing Two Preparations for a Pure State from No-signaling
title_fullStr Impossibility of Distinguishing Two Preparations for a Pure State from No-signaling
title_full_unstemmed Impossibility of Distinguishing Two Preparations for a Pure State from No-signaling
title_short Impossibility of Distinguishing Two Preparations for a Pure State from No-signaling
title_sort impossibility of distinguishing two preparations for a pure state from no signaling
url https://dankogeorgiev.com/ojs/index.php/quanta/article/view/54
work_keys_str_mv AT arunkumarpati impossibilityofdistinguishingtwopreparationsforapurestatefromnosignaling