Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes

• URL: http://arxiv.org/abs/2309.16190v1
• Date: Thu, 28 Sep 2023 06:21:24 GMT
• Title: Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes
• Authors: Abhinash Kumar Roy, Varun Srivastava, Soumik Mahanti, Christina Giarmatzi, and Alexei Gilchrist
• Abstract summary: We investigate multi-time processes using the process matrix formalism. We show that the presence of a quantum non-Markovian environment plays a significant role in enhancing the communication capacity.
• Score: 0.3262230127283452
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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