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Quantum Information Processing

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01-04-2018

Capacity of a quantum memory channel correlated by matrix product states

Authors: Jaideep Mulherkar, V Sunitha

Published in: Quantum Information Processing | Issue 4/2018

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Abstract

We study the capacity of a quantum channel where channel acts like controlled phase gate with the control being provided by a one-dimensional quantum spin chain environment. Due to the correlations in the spin chain, we get a quantum channel with memory. We derive formulas for the quantum capacity of this channel when the spin state is a matrix product state. Particularly, we derive exact formulas for the capacity of the quantum memory channel when the environment state is the ground state of the AKLT model and the Majumdar–Ghosh model. We find that the behavior of the capacity for the range of the parameters is analytic.

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Title: Capacity of a quantum memory channel correlated by matrix product states
Authors: Jaideep Mulherkar
V Sunitha
Publication date: 01-04-2018
Publisher: Springer US
Published in: Quantum Information Processing / Issue 4/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-018-1847-4

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