All-Gaussian State Discrimination Beyond the Coherent Helstrom Bound
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918172208136192 |
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| author | Walsh, Angus Conlon, Lorcan Shajilal, Biveen Erkilic, Ozlem Janousek, Jiri Assad, Syed Zhao, Jie Lam, Ping Koy |
| author_facet | Walsh, Angus Conlon, Lorcan Shajilal, Biveen Erkilic, Ozlem Janousek, Jiri Assad, Syed Zhao, Jie Lam, Ping Koy |
| contents | A core problem in communications is the optimal discrimination of binary-phase-shift-keyed (BPSK) signals. A longstanding goal has been to reach the fundamental quantum limit, known as the Helstrom bound, for BPSK signals encoded in coherent states. However, due to technical constraints, proposals for reaching the bound remain impractical. In this letter we take an alternative approach: using only Gaussian optics - displaced squeezed states and homodyne detection - we achieve discrimination of BPSK signals with error rates below what can be achieved using coherent states and any quantum measurement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20096 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | All-Gaussian State Discrimination Beyond the Coherent Helstrom Bound Walsh, Angus Conlon, Lorcan Shajilal, Biveen Erkilic, Ozlem Janousek, Jiri Assad, Syed Zhao, Jie Lam, Ping Koy Quantum Physics A core problem in communications is the optimal discrimination of binary-phase-shift-keyed (BPSK) signals. A longstanding goal has been to reach the fundamental quantum limit, known as the Helstrom bound, for BPSK signals encoded in coherent states. However, due to technical constraints, proposals for reaching the bound remain impractical. In this letter we take an alternative approach: using only Gaussian optics - displaced squeezed states and homodyne detection - we achieve discrimination of BPSK signals with error rates below what can be achieved using coherent states and any quantum measurement. |
| title | All-Gaussian State Discrimination Beyond the Coherent Helstrom Bound |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.20096 |