Coherent control and distinguishability of quantum channels via PBS-diagrams

• URL: http://arxiv.org/abs/2103.02073v1
• Date: Tue, 2 Mar 2021 22:56:25 GMT
• Title: Coherent control and distinguishability of quantum channels via PBS-diagrams
• Authors: Cyril Branciard, Alexandre Cl\'ement, Mehdi Mhalla, and Simon Perdrix
• Abstract summary: We introduce a graphical language for coherent control of general quantum channels inspired by practical quantum optical setups involving polarising beam splitters (PBS) We characterise the observational equivalence of purified channels in various coherent-control contexts, paving the way towards a faithful representation of quantum channels under coherent control.
• Score: 59.94347858883343
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce a graphical language for coherent control of general quantum channels inspired by practical quantum optical setups involving polarising beam splitters (PBS). As standard completely positive trace preserving maps are known not to be appropriate to represent coherently controlled quantum channels, we propose to instead use purified channels, an extension of Stinespring's dilation. We characterise the observational equivalence of purified channels in various coherent-control contexts, paving the way towards a faithful representation of quantum channels under coherent control.

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