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Journal of Mathematical Physics : Additivity and distinguishability of random unitary channels

By Bill Rosgen

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Book Id: WPLBN0002169537
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 13 October 2008

Title: Journal of Mathematical Physics : Additivity and distinguishability of random unitary channels  
Author: Bill Rosgen
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection, Journal of Mathematical Physics Collection
Historic
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Publisher: American Institute of Physics

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Rosgen, B. (n.d.). Journal of Mathematical Physics : Additivity and distinguishability of random unitary channels. Retrieved from http://www.comicbooklibrary.org/


Description
Description: A random unitary channel is one that is given by a convex combination of unitary channels. It is shown that the conjectures on the additivity of the minimum output entropy and the multiplicativity of the maximum output p-norm can be equivalently restated in terms of random unitary channels. This is done by constructing a random unitary approximation to a general quantum channel. This approximation can be constructed efficiently, and so it is also applied to the computational problem of distinguishing quantum circuits. It is shown that the problem of distinguishing random unitary circuits is as hard as the problem of distinguishing general mixed-state circuits, which is complete for the class of problems having quantum interactive proof systems.

 
 



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