Probabilistic pulse-position modulation for classical communication on quantum channels

• URL: http://arxiv.org/abs/2502.04856v1
• Date: Fri, 07 Feb 2025 11:46:47 GMT
• Title: Probabilistic pulse-position modulation for classical communication on quantum channels
• Authors: Farzad Kianvash, Matteo Rosati,
• Abstract summary: We propose a generalization of Hadamard codes that distributes the signal across multiple modes with optimized probabilities. We derive an achievable communication rate, demonstrating that our PPPM can outperform traditional Hadamard codes in certain intermediate energy regimes.
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• Abstract: 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.

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