Probabilistic pulse-position modulation for classical communication on quantum channels

Fuente: arXiv
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Auteurs principaux: Kianvash, Farzad, Rosati, Matteo
Format: Preprint
Publié: 2025
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author Kianvash, Farzad
Rosati, Matteo
author_facet Kianvash, Farzad
Rosati, Matteo
contents Classical communication over lossy quantum channels is an essential topic in quantum information theory, with practical implications for optical-fiber and free-space communications. Multi-phase Hadamard codes, based on coherent-state Binary Phase-Shift Keying (BPSK) modulation and decoded using vacuum-or-pulse (VP) detectors, offer a promising approach for achieving high communication rates while relying only on linear optics and single-photon detectors (SPDs). However, their performance does not reach the ultimate Holevo limit. In this work, we propose a generalization of Hadamard codes that distributes the signal across multiple modes with optimized probabilities, rather than concentrating it in a single mode, dubbed probabilistic pulse-position modulation (PPPM). We derive an achievable communication rate, demonstrating that our PPPM can outperform traditional Hadamard codes in certain intermediate energy regimes.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04856
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probabilistic pulse-position modulation for classical communication on quantum channels
Kianvash, Farzad
Rosati, Matteo
Quantum Physics
Classical communication over lossy quantum channels is an essential topic in quantum information theory, with practical implications for optical-fiber and free-space communications. Multi-phase Hadamard codes, based on coherent-state Binary Phase-Shift Keying (BPSK) modulation and decoded using vacuum-or-pulse (VP) detectors, offer a promising approach for achieving high communication rates while relying only on linear optics and single-photon detectors (SPDs). However, their performance does not reach the ultimate Holevo limit. In this work, we propose a generalization of Hadamard codes that distributes the signal across multiple modes with optimized probabilities, rather than concentrating it in a single mode, dubbed probabilistic pulse-position modulation (PPPM). We derive an achievable communication rate, demonstrating that our PPPM can outperform traditional Hadamard codes in certain intermediate energy regimes.
title Probabilistic pulse-position modulation for classical communication on quantum channels
topic Quantum Physics
url https://arxiv.org/abs/2502.04856