Multi-Phase Hadamard receivers for classical communication on lossy bosonic channels

Abstract

A scheme for transferring classical information over a lossy bosonic channel is proposed by generalizing the proposal presented in Phys. Rev. Lett. 106, 240502 (2011) by Guha. It employs codewords formed by products of coherent states of fixed mean photon number with multiple phases which, through a passive unitary transformation, reduce to a Pulse-Position Modulation code with multiple pulse phases. The maximum information rate achievable with optimal, yet difficult to implement, detection schemes is computed and shown to saturate the classical capacity of the channel in the low energy regime. An easy to implement receiver based on a conditional Dolinar detection scheme is also proposed finding that, while suboptimal, it allows for improvements in an intermediate photon-number regime with respect to previous proposals.

final version: minor changes; 8+3 pages and 5 figures

References in corpus (5)

• Coding Theorem and Strong Converse for Quantum Channels
• Error Exponent in Asymmetric Quantum Hypothesis Testing and Its Application to Classical-Quantum Channel coding
• Displacement receiver for phase-shift-keyed coherent states
• A robust quantum receiver for phase shift keyed signals
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Cited by in corpus (4)

• Multi-state discrimination below the quantum noise limit at the single-photon level
• Demonstration of optimal non-projective measurement of binary coherent states with photon counting
• Reinforcement-learning calibration of coherent-state receivers on variable-loss optical channels
• Decoding Protocols for Classical Communication on Quantum Channels