Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor

TL;DR

This paper experimentally demonstrates that convex combinations of Pauli semigroups on an NMR quantum processor always result in non-Markovian dynamics, confirming theoretical predictions through controlled mixing of quantum channels.

Contribution

It provides the first experimental realization showing that mixing Pauli semigroups yields non-Markovian behavior, validating theoretical models with NMR quantum simulations.

Findings

Convex mixing of two Pauli semigroups is always non-Markovian.

Three-way mixing of Pauli semigroups can be non-Markovian, depending on parameters.

Experimental results match theoretical predictions of non-Markovianity.

Abstract

This experimental study aims to investigate the convex combinations of Pauli semigroups with arbitrary mixing parameters to determine whether the resulting dynamical map exhibits Markovian or non-Markovian behavior. Specifically, we consider the cases of equal as well as unequal mixing of two Pauli semigroups, and demonstrate that the resulting map is always non-Markovian. Additionally, we study three cases of three-way mixing of the three Pauli semigroups and determine the Markovianity or non-Markovianity of the resulting maps by experimentally determining the decay rates. To simulate the non-unitary dynamics of a single qubit system with different mixing combinations of Pauli semigroups on an NMR quantum processor, we use an algorithm involving two ancillary qubits. The experimental results align with the theoretical predictions.