Active Hypothesis Testing for Quantum Detection of Phase-Shift Keying Coherent States
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909467033993216 |
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| author | Lo, Yun-Feng Bloch, Matthieu R. |
| author_facet | Lo, Yun-Feng Bloch, Matthieu R. |
| contents | This paper explores the quantum detection of Phase-Shift Keying (PSK)-coded coherent states through the lens of active hypothesis testing, focusing on a Dolinar-like receiver with constraints on displacement amplitude and energy. With coherent state slicing, we formulate the problem as a controlled sensing task in which observation kernels have parameters shrinking with sample size. The constrained open-loop error exponent and a corresponding upper bound on the Bayesian error probability are proven. Surprisingly, the exponent-optimal open-loop policy for binary PSK with high dark counts is not simply time-sharing. This work serves as a first step towards obtaining analytical insights through the active hypothesis testing framework for designing resource-constrained quantum communication receivers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16218 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Active Hypothesis Testing for Quantum Detection of Phase-Shift Keying Coherent States Lo, Yun-Feng Bloch, Matthieu R. Quantum Physics Information Theory Systems and Control This paper explores the quantum detection of Phase-Shift Keying (PSK)-coded coherent states through the lens of active hypothesis testing, focusing on a Dolinar-like receiver with constraints on displacement amplitude and energy. With coherent state slicing, we formulate the problem as a controlled sensing task in which observation kernels have parameters shrinking with sample size. The constrained open-loop error exponent and a corresponding upper bound on the Bayesian error probability are proven. Surprisingly, the exponent-optimal open-loop policy for binary PSK with high dark counts is not simply time-sharing. This work serves as a first step towards obtaining analytical insights through the active hypothesis testing framework for designing resource-constrained quantum communication receivers. |
| title | Active Hypothesis Testing for Quantum Detection of Phase-Shift Keying Coherent States |
| topic | Quantum Physics Information Theory Systems and Control |
| url | https://arxiv.org/abs/2501.16218 |