Multi-pulse Fourier codes for bit transmission at the quantum limit

Bit-transmission can be enhanced by the use of quantum detection techniques, realizing a joint-detection receiver (JDR) that is able to decode transmitted signals via a collective operation and achieve the Holevo channel capacity. Explicit JDR designs proposed so far employ the Hadamard or Fourier t...

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Main Author: Matteo Rosati
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ada4d0
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author Matteo Rosati
author_facet Matteo Rosati
author_sort Matteo Rosati
collection DOAJ
description Bit-transmission can be enhanced by the use of quantum detection techniques, realizing a joint-detection receiver (JDR) that is able to decode transmitted signals via a collective operation and achieve the Holevo channel capacity. Explicit JDR designs proposed so far employ the Hadamard or Fourier transform to perform a phase-to-intensity translation of the information encoding, effectively falling in the class of on-off-keying (OOK) modulation techniques; they improve over classical decoders but fall short of the Holevo capacity, particularly at large signal mean photon number $n\gtrsim1$ . Here we introduce new families of decoders based on multi-pulse and multi-level codes. We compute the rate of these codes exactly, and provide a comprehensive study of their performance. We show that multi-pulse codes can approach the rate of OOK closely, providing a simplified design for quantum-enhanced communication in the photon-starved regime; furthermore, multi-level codes can approach generalized-OOK strategies with multiple pulse types, thus they can be employed in the larger photon-number regime.
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spelling doaj-art-834895a3351244cea9a75a30976072662025-01-21T12:35:42ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127101301010.1088/1367-2630/ada4d0Multi-pulse Fourier codes for bit transmission at the quantum limitMatteo Rosati0https://orcid.org/0000-0002-8972-2936Dipartimento di Ingegneria Civile, Informatica e delle Tecnologie Aeronautiche, Universitá Roma Tre , Via Vito Volterra 62, I-00146 Rome, ItalyBit-transmission can be enhanced by the use of quantum detection techniques, realizing a joint-detection receiver (JDR) that is able to decode transmitted signals via a collective operation and achieve the Holevo channel capacity. Explicit JDR designs proposed so far employ the Hadamard or Fourier transform to perform a phase-to-intensity translation of the information encoding, effectively falling in the class of on-off-keying (OOK) modulation techniques; they improve over classical decoders but fall short of the Holevo capacity, particularly at large signal mean photon number $n\gtrsim1$ . Here we introduce new families of decoders based on multi-pulse and multi-level codes. We compute the rate of these codes exactly, and provide a comprehensive study of their performance. We show that multi-pulse codes can approach the rate of OOK closely, providing a simplified design for quantum-enhanced communication in the photon-starved regime; furthermore, multi-level codes can approach generalized-OOK strategies with multiple pulse types, thus they can be employed in the larger photon-number regime.https://doi.org/10.1088/1367-2630/ada4d0quantum communicationoptical communicationjoint-detection-receiverquantum advantagequantum information processing
spellingShingle Matteo Rosati
Multi-pulse Fourier codes for bit transmission at the quantum limit
New Journal of Physics
quantum communication
optical communication
joint-detection-receiver
quantum advantage
quantum information processing
title Multi-pulse Fourier codes for bit transmission at the quantum limit
title_full Multi-pulse Fourier codes for bit transmission at the quantum limit
title_fullStr Multi-pulse Fourier codes for bit transmission at the quantum limit
title_full_unstemmed Multi-pulse Fourier codes for bit transmission at the quantum limit
title_short Multi-pulse Fourier codes for bit transmission at the quantum limit
title_sort multi pulse fourier codes for bit transmission at the quantum limit
topic quantum communication
optical communication
joint-detection-receiver
quantum advantage
quantum information processing
url https://doi.org/10.1088/1367-2630/ada4d0
work_keys_str_mv AT matteorosati multipulsefouriercodesforbittransmissionatthequantumlimit