Unambiguous discrimination of sequences of quantum states
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914809053708288 |
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| author | Gupta, Tathagata Murshid, Shayeef Bandyopadhyay, Somshubhro |
| author_facet | Gupta, Tathagata Murshid, Shayeef Bandyopadhyay, Somshubhro |
| contents | We consider the problem of determining the state of an unknown quantum sequence without error. The elements of the given sequence are drawn with equal probability from a known set of linearly independent pure quantum states with the property that their mutual inner products are all real and equal. This problem can be posed as an instance of unambiguous state discrimination where the states correspond to that of all possible sequences having the same length as the given one. We calculate the optimum probability by solving the optimality conditions of a semidefinite program. The optimum value is achievable by measuring individual members of the sequence, and no collective measurement is necessary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06365 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unambiguous discrimination of sequences of quantum states Gupta, Tathagata Murshid, Shayeef Bandyopadhyay, Somshubhro Quantum Physics We consider the problem of determining the state of an unknown quantum sequence without error. The elements of the given sequence are drawn with equal probability from a known set of linearly independent pure quantum states with the property that their mutual inner products are all real and equal. This problem can be posed as an instance of unambiguous state discrimination where the states correspond to that of all possible sequences having the same length as the given one. We calculate the optimum probability by solving the optimality conditions of a semidefinite program. The optimum value is achievable by measuring individual members of the sequence, and no collective measurement is necessary. |
| title | Unambiguous discrimination of sequences of quantum states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.06365 |