Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910899987546112 |
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| author | Roy, Abhinash Kumar Srivastava, Varun Mahanti, Soumik Giarmatzi, Christina Gilchrist, Alexei |
| author_facet | Roy, Abhinash Kumar Srivastava, Varun Mahanti, Soumik Giarmatzi, Christina Gilchrist, Alexei |
| contents | The characterization of multi-time correlations in open quantum systems is of fundamental importance. In this work, we investigate multi-time processes using the process matrix formalism and show that the presence of a quantum non-Markovian environment plays a significant role in enhancing the communication capacity in sequential prepare-transform-measure Quantum Random Access Codes (QRAC). The correlated environment enables a quantum advantage to multiple parties, even with projective measurements. In particular, we show that the Markovian and classical non-Markovian processes, i.e. quantum processes with classical feedback from the environment, do not yield sequential quantum advantage. In contrast, it is possible to achieve an advantage in the presence of a quantum non-Markovian environment. Therefore this approach allows a semi-device-independent certification of quantum non-Markovianity. As opposed to entanglement-detection criteria which require the knowledge of the complete process, this method allows to certify the presence of a quantum non-Markovian environment from the observed measurement statistics. Moreover, quantum memory ameliorates the unambiguous certifiable region of unsharp instruments in a semi-device-independent manner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16190 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes Roy, Abhinash Kumar Srivastava, Varun Mahanti, Soumik Giarmatzi, Christina Gilchrist, Alexei Quantum Physics The characterization of multi-time correlations in open quantum systems is of fundamental importance. In this work, we investigate multi-time processes using the process matrix formalism and show that the presence of a quantum non-Markovian environment plays a significant role in enhancing the communication capacity in sequential prepare-transform-measure Quantum Random Access Codes (QRAC). The correlated environment enables a quantum advantage to multiple parties, even with projective measurements. In particular, we show that the Markovian and classical non-Markovian processes, i.e. quantum processes with classical feedback from the environment, do not yield sequential quantum advantage. In contrast, it is possible to achieve an advantage in the presence of a quantum non-Markovian environment. Therefore this approach allows a semi-device-independent certification of quantum non-Markovianity. As opposed to entanglement-detection criteria which require the knowledge of the complete process, this method allows to certify the presence of a quantum non-Markovian environment from the observed measurement statistics. Moreover, quantum memory ameliorates the unambiguous certifiable region of unsharp instruments in a semi-device-independent manner. |
| title | Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2309.16190 |