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Bosonic c-q code

Root code for the Bosonic/analog c-q Kingdom

Description

Bosonic code designed for transmission of classical information through non-classical channels.

Rate

The Holevo capacity has been calculated for various bosonic quantum channels [1–3] such as the lossy bosonic channel [4] or quantum AGWN [5]. The energy-constrained capacity of the noiseless bosonic c-q channel is finite due to quantum effects [6,7], while the Shannon capacity can be infinite. Gordon was the first to calculate such capacities (in a published work) for a specific case [8–10], and a related discussion is given by Forney [11]. The most information-efficient format of a transmitted message is indistinguishable from black-body radiation [12].

Cousin

  • Bosonic code— Bosonic c-q codes are bosonic codes designed to transmit classical information.

Member of code lists

Primary Hierarchy

Classical-quantum Domain
Bosonic/analog c-q Kingdom
Parents
Classical-quantum (c-q) code
Bosonic c-q code
Children
Coherent-state c-q code

References

[1]
J. H. Shapiro, “The Quantum Theory of Optical Communications”, IEEE Journal of Selected Topics in Quantum Electronics 15, 1547 (2009) DOI
[2]
K. Banaszek, L. Kunz, M. Jachura, and M. Jarzyna, “Quantum Limits in Optical Communications”, Journal of Lightwave Technology 38, 2741 (2020) arXiv:2002.05766 DOI
[3]
A. S. Holevo, “Quantum Systems, Channels, Information”, (2019) DOI
[4]
V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical Capacity of the Lossy Bosonic Channel: The Exact Solution”, Physical Review Letters 92, (2004) arXiv:quant-ph/0308012 DOI
[5]
V. Giovannetti, R. García-Patrón, N. J. Cerf, and A. S. Holevo, “Ultimate classical communication rates of quantum optical channels”, Nature Photonics 8, 796 (2014) arXiv:1312.6225 DOI
[6]
H. P. Yuen and M. Ozawa, “Ultimate information carrying limit of quantum systems”, Physical Review Letters 70, 363 (1993) DOI
[7]
C. M. Caves and P. D. Drummond, “Quantum limits on bosonic communication rates”, Reviews of Modern Physics 66, 481 (1994) DOI
[8]
J. P. Gordon, in Advances in Quantum Electronics edited by J. R. Singer (Columbia University, New York, 1961), p. 509
[9]
J. Gordon, “Quantum Effects in Communications Systems”, Proceedings of the IRE 50, 1898 (1962) DOI
[10]
J.P. Gordon, in Quantum Electronics and Coherent Light, Proceedings of the International School of Physics "Enrico Fermi," Course XXXI, edited by PA. Miles (Academic, New York, 1964), p. 156.
[11]
G.D. Forney, Jr., S.M. thesis, Massachusetts Institute of Technology, 1963 (unpublished).
[12]
M. Lachmann, M. E. J. Newman, and C. Moore, “The physical limits of communication or Why any sufficiently advanced technology is indistinguishable from noise”, American Journal of Physics 72, 1290 (2004) arXiv:cond-mat/9907500 DOI
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Zoo Code ID: bosonic_classical_into_quantum

Cite as:
“Bosonic c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/bosonic_classical_into_quantum
BibTeX:
@incollection{eczoo_bosonic_classical_into_quantum, title={Bosonic c-q code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/bosonic_classical_into_quantum} }
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Permanent link:
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Cite as:

“Bosonic c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/bosonic_classical_into_quantum

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical_into_quantum/oscillators/bosonic_classical_into_quantum.yml.