TY - GEN

T1 - Quantum M-ary phase shift keying

AU - Nair, Ranjith

AU - Yen, Brent J.

AU - Guha, Saikat

AU - Shapiro, Jeffrey H.

AU - Pirandola, Stefano

PY - 2012/10/22

Y1 - 2012/10/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84867533014&partnerID=8YFLogxK

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U2 - 10.1109/ISIT.2012.6284252

DO - 10.1109/ISIT.2012.6284252

M3 - Conference contribution

AN - SCOPUS:84867533014

SN - 9781467325790

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 556

EP - 560

BT - 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012

T2 - 2012 IEEE International Symposium on Information Theory, ISIT 2012

Y2 - 1 July 2012 through 6 July 2012

ER -