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Quantum Information Processing

Correspondence between quantization schemes for two-player nonzero-sum games and CNOT complexity

  • 01-05-2018
Published in:
Authors
V. Vijayakrishnan
S. Balakrishnan
Published in
Quantum Information Processing | Issue 5/2018

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Abstract

The well-known quantization schemes for two-player nonzero-sum games are Eisert–Wilkens–Lewenstein scheme and Marinatto–Weber scheme. In this work, we establish the connection between the two schemes from the perspective of quantum circuits. Further, we provide the correspondence between any game quantization schemes and the CNOT complexity, where CNOT complexity is up to the local unitary operations. While CNOT complexity is known to be useful in the analysis of universal quantum circuit, in this work, we find its applicability in quantum game theory.

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previous article Improving the quantum cost of reversible Boolean functions using reorder algorithm
next article Classical versus quantum communication in XOR games
Title
Correspondence between quantization schemes for two-player nonzero-sum games and CNOT complexity
Authors
V. Vijayakrishnan
S. Balakrishnan
Publication date
01-05-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 5/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1870-5
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