Parallel distinguishability of quantum operations

Duan, R; Guo, C; Li, CK; Li, Y

Parallel distinguishability of quantum operations

Duan, R

Guo, C Li, CK Li, Y

Permalink

Publication Type:: Conference Proceeding
Citation:: IEEE International Symposium on Information Theory - Proceedings, 2016, 2016-August pp. 2259 - 2263
Issue Date:: 2016-08-10

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download Accepted ManuscriptAdobe PDF (431.74 kB)

View on publisher's site

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Duan, R https://orcid.org/0000-0002-4388-7487	en_US
dc.contributor.author	Guo, C	en_US
dc.contributor.author	Li, CK	en_US
dc.contributor.author	Li, Y	en_US
dc.date.issued	2016-08-10	en_US
dc.identifier.citation	IEEE International Symposium on Information Theory - Proceedings, 2016, 2016-August pp. 2259 - 2263	en_US
dc.identifier.isbn	9781509018062	en_US
dc.identifier.issn	2157-8095	en_US
dc.identifier.uri	http://hdl.handle.net/10453/92486
dc.description.abstract	© 2016 IEEE. We find that the perfect distinguishability of two quantum operations by a parallel scheme depends only on an operator subspace generated from their Choi-Kraus operators. We further show that any operator subspace can be obtained from two quantum operations in such a way. This connection enables us to study the parallel distinguishability of operator subspaces directly without explicitly referring to the underlining quantum operations. We obtain a necessary and sufficient condition for the parallel distinguishability of an operator subspace that is either one-dimensional or Hermitian. In both cases the condition is equivalent to the non-existence of positive definite operator in the subspace, and an optimal discrimination protocol is obtained. Finally, we provide more examples to show that the non-existence of positive definite operator is sufficient for many other cases, but in general it is only a necessary condition.	en_US
dc.relation.ispartof	IEEE International Symposium on Information Theory - Proceedings	en_US
dc.relation.isbasedon	10.1109/ISIT.2016.7541701	en_US
dc.title	Parallel distinguishability of quantum operations	en_US
dc.type	Conference Proceeding
utslib.citation.volume	2016-August	en_US
utslib.for	080201 Analysis of Algorithms and Complexity	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access
pubs.publication-status	Published	en_US
pubs.volume	2016-August	en_US

Abstract:

© 2016 IEEE. We find that the perfect distinguishability of two quantum operations by a parallel scheme depends only on an operator subspace generated from their Choi-Kraus operators. We further show that any operator subspace can be obtained from two quantum operations in such a way. This connection enables us to study the parallel distinguishability of operator subspaces directly without explicitly referring to the underlining quantum operations. We obtain a necessary and sufficient condition for the parallel distinguishability of an operator subspace that is either one-dimensional or Hermitian. In both cases the condition is equivalent to the non-existence of positive definite operator in the subspace, and an optimal discrimination protocol is obtained. Finally, we provide more examples to show that the non-existence of positive definite operator is sufficient for many other cases, but in general it is only a necessary condition.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/92486