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Open Quantum Systems Decoherence

An Uncertainty Principle For Completely Positive Maps

arXiv
Authors: Jeremy Levick

Year

2016

Paper ID

42330

Status

Preprint

Abstract Read

~2 min

Abstract Words

40

Citations

N/A

Abstract

We present an "uncertainty principle" for quantum channels, showing a relationship between the dimensions of the range of a channel and the range of its complement. We examine some interesting specific cases, and discuss consequences for privacy of quantum channels.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • We present an "uncertainty principle" for quantum channels, showing a relationship between the dimensions of the range of a channel and the range of its complement.

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