English

Eternal non-Markovianity of qubit maps

Quantum Physics 2025-07-31 v2

Abstract

As is well known, unital Pauli maps can be eternally non-CP-divisible. In contrast, here we show that in the case of non-unital maps, eternal non-Markovianity in the non-unital part is ruled out. In the unital case, the eternal non-Markovianity can be obtained by a convex combination of two dephasing semigroups, but not all three of them. We study these results and ramifications arising from them.

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Cite

@article{arxiv.2501.06846,
  title  = {Eternal non-Markovianity of qubit maps},
  author = {Vinayak Jagadish and R. Srikanth},
  journal= {arXiv preprint arXiv:2501.06846},
  year   = {2025}
}

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5 pages