On the Alberti-Uhlmann Condition for Unital Channels

On the Alberti-Uhlmann Condition for Unital Channels

We address the problem of existence of completely positive trace preserving (CPTP) maps between two sets of density matrices. We refine the result of Alberti and Uhlmann and derive a necessary and sufficient condition for the existence of a unital channel between two pairs of qubit states which ulti...

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Main Authors: Sagnik Chakraborty, Dariusz Chruściński, Gniewomir Sarbicki, Frederik vom Ende
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-11-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-11-08-360/pdf/
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spelling doaj-4c6c7af8c6d040c382557dcf929a1f0b2020-11-25T04:08:53ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2020-11-01436010.22331/q-2020-11-08-36010.22331/q-2020-11-08-360On the Alberti-Uhlmann Condition for Unital ChannelsSagnik ChakrabortyDariusz ChruścińskiGniewomir SarbickiFrederik vom EndeWe address the problem of existence of completely positive trace preserving (CPTP) maps between two sets of density matrices. We refine the result of Alberti and Uhlmann and derive a necessary and sufficient condition for the existence of a unital channel between two pairs of qubit states which ultimately boils down to three simple inequalities.https://quantum-journal.org/papers/q-2020-11-08-360/pdf/
collection DOAJ
language English
format Article
sources DOAJ
author Sagnik Chakraborty
Dariusz Chruściński
Gniewomir Sarbicki
Frederik vom Ende
spellingShingle Sagnik Chakraborty
Dariusz Chruściński
Gniewomir Sarbicki
Frederik vom Ende
On the Alberti-Uhlmann Condition for Unital Channels
Quantum
author_facet Sagnik Chakraborty
Dariusz Chruściński
Gniewomir Sarbicki
Frederik vom Ende
author_sort Sagnik Chakraborty
title On the Alberti-Uhlmann Condition for Unital Channels
title_short On the Alberti-Uhlmann Condition for Unital Channels
title_full On the Alberti-Uhlmann Condition for Unital Channels
title_fullStr On the Alberti-Uhlmann Condition for Unital Channels
title_full_unstemmed On the Alberti-Uhlmann Condition for Unital Channels
title_sort on the alberti-uhlmann condition for unital channels
publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
series Quantum
issn 2521-327X
publishDate 2020-11-01
description We address the problem of existence of completely positive trace preserving (CPTP) maps between two sets of density matrices. We refine the result of Alberti and Uhlmann and derive a necessary and sufficient condition for the existence of a unital channel between two pairs of qubit states which ultimately boils down to three simple inequalities.
url https://quantum-journal.org/papers/q-2020-11-08-360/pdf/
work_keys_str_mv AT sagnikchakraborty onthealbertiuhlmannconditionforunitalchannels
AT dariuszchruscinski onthealbertiuhlmannconditionforunitalchannels
AT gniewomirsarbicki onthealbertiuhlmannconditionforunitalchannels
AT frederikvomende onthealbertiuhlmannconditionforunitalchannels
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