Relations between Markovian and non-Markovian correlations in multitime quantum processes

Zambon, Guilherme; Soares-Pinto, Diogo O.

doi:10.1103/physreva.109.062401

Phys. Rev. A

2024

DOI: 10.1103/physreva.109.062401

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Relations between Markovian and non-Markovian correlations in multitime quantum processes

Guilherme Zambon,

Diogo O. Soares-Pinto

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2024

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Process tensor distinguishability measures

Zambon

2024

Phys. Rev. A

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Process tensors are quantum combs describing the evolution of open quantum systems through multiple steps of quantum dynamics. While there is more than one way to measure how different two processes are, special care must be taken to ensure quantifiers obey physically desirable conditions such as data-processing inequalities. Here, we analyze two classes of distinguishability measures commonly used in general applications of quantum combs. We show that the first class, called Choi divergences, does not satisfy an important data-processing inequality, while the second one, which we call generalized divergences, does. We also extend to quantum combs some other relevant results of generalized divergences of quantum channels. Finally, given the properties we proved, we argue that generalized divergences may be more adequate than Choi divergences for distinguishing quantum combs in most of their applications. Particularly, this is crucial for defining monotones for resource theories whose states have a comb structure, such as resource theories of quantum processes and resource theories of quantum strategies. Published by the American Physical Society 2024

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Process tensor distinguishability measures

Zambon

2024

Phys. Rev. A

View full text Add to dashboard Cite

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Relations between Markovian and non-Markovian correlations in multitime quantum processes

Cited by 1 publication

References 64 publications

Process tensor distinguishability measures

Process tensor distinguishability measures

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