Axiomatic description of mixed states from selinger's CPM-construction

<p>We recast Selinger's CPM-construction of mixed states completely positive maps [P. Selinger (2007) <em>Dagger compact closed categories and completely positive maps</em>. In: Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005), Electron...

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Main Author: Coecke, B
Format: Journal article
Language:English
Published: 2008
Subjects:
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author Coecke, B
author_facet Coecke, B
author_sort Coecke, B
collection OXFORD
description <p>We recast Selinger's CPM-construction of mixed states completely positive maps [P. Selinger (2007) <em>Dagger compact closed categories and completely positive maps</em>. In: Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005), Electronic Notes in Theoretical Computer Science <strong>170</strong>, 139–163. Available from Peter Selinger&amp;apos;s homepage] as an axiomatization of maximally mixed states. This axiomatization also guarantees categories of completely positive maps to satisfy the preparation-state agreement axiom of [Coecke, B. (2007) <em>De-linearizing linearity: projective quantum axiomatics from strong compact closure</em>. In: Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005), Electronic Notes in Theoretical Computer Science <strong>170</strong>, 49–72. E-print: <a href="arXiv:quant-ph/0506134">arXiv:quant-ph/0506134</a></p>
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spelling oxford-uuid:e6e96b18-ff8b-4582-a35a-d984e6a073e12022-03-27T10:34:30ZAxiomatic description of mixed states from selinger's CPM-constructionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e6e96b18-ff8b-4582-a35a-d984e6a073e1ComputingComputer science (mathematics)EnglishOxford University Research Archive - Valet2008Coecke, B<p>We recast Selinger's CPM-construction of mixed states completely positive maps [P. Selinger (2007) <em>Dagger compact closed categories and completely positive maps</em>. In: Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005), Electronic Notes in Theoretical Computer Science <strong>170</strong>, 139–163. Available from Peter Selinger&amp;apos;s homepage] as an axiomatization of maximally mixed states. This axiomatization also guarantees categories of completely positive maps to satisfy the preparation-state agreement axiom of [Coecke, B. (2007) <em>De-linearizing linearity: projective quantum axiomatics from strong compact closure</em>. In: Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005), Electronic Notes in Theoretical Computer Science <strong>170</strong>, 49–72. E-print: <a href="arXiv:quant-ph/0506134">arXiv:quant-ph/0506134</a></p>
spellingShingle Computing
Computer science (mathematics)
Coecke, B
Axiomatic description of mixed states from selinger's CPM-construction
title Axiomatic description of mixed states from selinger's CPM-construction
title_full Axiomatic description of mixed states from selinger's CPM-construction
title_fullStr Axiomatic description of mixed states from selinger's CPM-construction
title_full_unstemmed Axiomatic description of mixed states from selinger's CPM-construction
title_short Axiomatic description of mixed states from selinger's CPM-construction
title_sort axiomatic description of mixed states from selinger s cpm construction
topic Computing
Computer science (mathematics)
work_keys_str_mv AT coeckeb axiomaticdescriptionofmixedstatesfromselingerscpmconstruction