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Quantum Information Processing
Published in: Quantum Information Processing 2/2020

01-02-2020

Bidirectional and cyclic quantum dense coding in a high-dimension system

Published in: Quantum Information Processing | Issue 2/2020

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Abstract

In light of quantum dense coding in the case of high-dimension quantum states between two parties, by introducing additional local operations for encoding, we propose a brand-new bidirectional quantum dense coding scheme, in which two legitimate agents can simultaneously transmit their different encoded messages to each other. In addition, we present a bidirectional quantum dense coding scheme with a control by virtue of the generalized Hadamard transformation. We show how to implement the cyclic quantum dense coding in an arbitrary high dimension where Alice can transfer her encoded messages \(n_1m_1\) to Bob; meanwhile, Bob can transfer his encoded messages \(n_2m_2\) to Charlie and Charlie can also transfer his encoded messages \(n_3m_3\) to Alice in both clockwise and counterclockwise directions. We can also generalize the cyclic scheme to system having \(n\ge 3\) agents. Thereby, our scheme can realize dense coding in quantum information networks with n agents in arbitrary directions.
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Metadata
Title
Bidirectional and cyclic quantum dense coding in a high-dimension system
Publication date
01-02-2020
Published in
Quantum Information Processing / Issue 2/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2526-9

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