Robust certification of quantum instruments through a sequential communication game
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914328634982400 |
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| author | Roy, Pritam Bera, Subhankar Majumdar, A. S. Mal, Shiladitya |
| author_facet | Roy, Pritam Bera, Subhankar Majumdar, A. S. Mal, Shiladitya |
| contents | We propose a communication game in the sequential measurement scenario, involving a sender and two receivers with restricted communication among the latter parties. In the framework of the prepare-transform-measure scenario, we find a prominent quantum advantage in the receiver's decoding of the message originally encoded by the sender. We show that an optimal trade-off between the success probabilities of the two receivers enables self-testing of the sender's state preparation, the first receiver's instruments, and the measurement device of the second receiver in a semi-device-independent way. Our protocol enables a more robust certification of the unsharp measurement parameter of the first receiver compared to an earlier protocol. We further generalize our game to higher-dimensional systems, revealing greater quantum advantage with an increase in dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12946 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust certification of quantum instruments through a sequential communication game Roy, Pritam Bera, Subhankar Majumdar, A. S. Mal, Shiladitya Quantum Physics We propose a communication game in the sequential measurement scenario, involving a sender and two receivers with restricted communication among the latter parties. In the framework of the prepare-transform-measure scenario, we find a prominent quantum advantage in the receiver's decoding of the message originally encoded by the sender. We show that an optimal trade-off between the success probabilities of the two receivers enables self-testing of the sender's state preparation, the first receiver's instruments, and the measurement device of the second receiver in a semi-device-independent way. Our protocol enables a more robust certification of the unsharp measurement parameter of the first receiver compared to an earlier protocol. We further generalize our game to higher-dimensional systems, revealing greater quantum advantage with an increase in dimensions. |
| title | Robust certification of quantum instruments through a sequential communication game |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.12946 |