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Fock-state OOK c-q modulation format[1]

Alternative names: Number-state OOK c-q modulation format, Fock-state OOK c-q modulation code, Fock-state OOK c-q modulation scheme, Fock-state OOK c-q signaling format, Single-photon OOK c-q modulation format, Single-rail c-q code.

Description

Bosonic c-q on-off keying (OOK) modulation format whose binary alphabet consists of the vacuum state \(|0\rangle\) and the single-photon Fock state \(|1\rangle\) of one mode. More generally, the nonzero OOK symbol can be a number state or a mixture of adjacent number states. Fock-state OOK with photon-number detection was analyzed as a nonclassical alternative to coherent-state OOK for photon-efficient communication [1].

Decoding

Photon-number detection distinguishes the erasure/loss-degraded output alphabet by detecting whether photons are present in the received mode [1,2].Number-state modulation with photon detection, including the numerical observation that the optimal prior distribution can be multimodal, was studied in Ref. [3; Ch. 5]. Later work on incoherent OOK and PPM quantified improvements from sub-Poissonian nonclassical light and used Fock states as the nonclassical low-photon-number alphabet [2].

Cousins

  • On-off keyed (OOK) c-q modulation format— Fock-state OOK and coherent-state OOK both use a vacuum off symbol, but their on symbols are respectively a single-photon number state and a coherent state.
  • Fock-state bosonic code— Fock-state OOK transmits classical information using Fock states, while Fock-state bosonic codes store quantum information in subspaces built from Fock states.

Member of code lists

Primary Hierarchy

Classical-quantum Domain
Analog c-q Kingdom
Bosonic c-q code
Parents
Bosonic c-q code
Fock-state OOK c-q modulation format

References

[1]
B. Erkmen, B. Moision, S. J. Dolinar, K. M. Birnbaum, and D. Divsalar, “Approaching the ultimate limits of communication efficiency with a photon-counting detector”, 2012 Information Theory and Applications Workshop 420 (2012) DOI
[2]
M. Jarzyna, P. Kuszaj, and K. Banaszek, “Incoherent on-off keying with classical and non-classical light”, Optics Express 23, 3170 (2015) arXiv:1410.4575 DOI
[3]
S. Guha, “Classical capacity of the free-space quantum-optical channel”, S.M. thesis, Massachusetts Institute of Technology (2004), URL
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Zoo Code ID: fock_state_ook

Cite as:
“Fock-state OOK c-q modulation format”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/fock_state_ook
BibTeX:
@incollection{eczoo_fock_state_ook, title={Fock-state OOK c-q modulation format}, booktitle={The Error Correction Zoo}, year={2026}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/fock_state_ook} }
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Cite as:

“Fock-state OOK c-q modulation format”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/fock_state_ook

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