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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Bibliographic Details
Published in:Quanta (Isperih) 2020-10, Vol.9 (1), p.16-21
Main Author: Pati, Arun K.
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:1314-7374
1314-7374
DOI:10.12743/quanta.v9i1.119