Markovian semigroup from non-Markovian evolutions

TL;DR

This paper demonstrates that combining two non-Markovian quantum evolutions can produce a Markovian semigroup, revealing that memory effects in quantum dynamics can cancel out through convex combinations.

Contribution

It introduces the novel insight that convex combinations of non-Markovian evolutions can yield Markovian semigroups, highlighting a new aspect of quantum memory effects.

Findings

Convex combination of non-Markovian evolutions can be Markovian.

Memory effects may cancel out in quantum dynamics.

Quantum evolutions with nontrivial memory can produce memoryless behavior.

Abstract

It is shown that a convex combination of two non-Markovian evolutions may lead to Markovian semigroup. This shows that convex combination of quantum evolutions displaying nontrivial memory effects may result in a perfectly memoryless evolution.