Quantum M-ary phase shift keying

Ranjith Nair; Brent J. Yen; Saikat Guha; Jeffrey H. Shapiro; Stefano Pirandola

doi:10.1109/ISIT.2012.6284252

Quantum M-ary phase shift keying

Ranjith Nair, Brent J. Yen, Saikat Guha, Jeffrey H. Shapiro, Stefano Pirandola

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

We develop a theory of quantum M-ary phase shift keying in which quantum states of optical modes are modulated at the transmitter by applying one of M uniformly-spaced phase shifts. We allow full freedom in choosing modulation states with any number of signal, i.e., transmitted, and ancilla modes, subject only to an average energy, i.e., photon number, constraint in either the signal modes alone or in the signal and ancilla modes together. For lossless operation and unrestricted POVM measurements at the receiver, we find the explicit form of the modulation state that minimizes the average error probability under an energy constraint of N photons. Multiple signal modes, mixed states, and entanglement with an ancilla are shown to be unnecessary for optimum performance. We show that communication with zero error is possible if and only if N ≥ (M - 1)/2.

Original language	English (US)
Title of host publication	2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012
Pages	556-560
Number of pages	5
DOIs	https://doi.org/10.1109/ISIT.2012.6284252
State	Published - Oct 22 2012
Externally published	Yes
Event	2012 IEEE International Symposium on Information Theory, ISIT 2012 - Cambridge, MA, United States Duration: Jul 1 2012 → Jul 6 2012

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings

Other

Other	2012 IEEE International Symposium on Information Theory, ISIT 2012
Country	United States
City	Cambridge, MA
Period	7/1/12 → 7/6/12

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

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10.1109/ISIT.2012.6284252

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Quantum M-ary phase shift keying. / Nair, Ranjith; Yen, Brent J.; Guha, Saikat; Shapiro, Jeffrey H.; Pirandola, Stefano.

2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012. 2012. p. 556-560 6284252 (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Nair, R, Yen, BJ, Guha, S, Shapiro, JH & Pirandola, S 2012, Quantum M-ary phase shift keying. in 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012., 6284252, IEEE International Symposium on Information Theory - Proceedings, pp. 556-560, 2012 IEEE International Symposium on Information Theory, ISIT 2012, Cambridge, MA, United States, 7/1/12. https://doi.org/10.1109/ISIT.2012.6284252

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