Enhanced Optimal Quantum Communication by Generalized Phase Shift Keying Coherent Signal

TL;DR

This paper analytically investigates how generalized phase shift keying with non-standard coherent states can enhance the success probability of quantum communication beyond binary systems, including super-Poissonian states.

Contribution

It extends the analysis of non-standard coherent states to N-ary phase shift keying, providing explicit success probabilities and showing super-Poissonian states can improve performance.

Findings

Maximal success probability derived for N-PSK with non-standard coherent states

Super-Poissonian states can outperform standard states in N-PSK communication

Analytical expressions enable optimization of quantum communication protocols

Abstract

It is well known that the maximal success probability of the binary quantum communication can be improved by using a sub-Poissonian non-standard coherent state as an information carrier. In the present article, we consider the quantum communication with $N$-ary phase shift keying ($N$-PSK) signal for an arbitrary positive integer $N>1$. By using non-standard coherent state, we analytically provide the maximal success probability of the quantum communication with $N$-PSK. Unlike the binary case, we show that even super-Poissonianity of non-standard coherent state can improve the maximal success probability of $N$-PSK quantum communication.