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

Fuente: arXiv
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Autores principales: Gulati, Vaishali, Jagadish, Vinayak, Srikanth, R., Dorai, Kavita
Formato: Preprint
Publicado: 2023
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author Gulati, Vaishali
Jagadish, Vinayak
Srikanth, R.
Dorai, Kavita
author_facet Gulati, Vaishali
Jagadish, Vinayak
Srikanth, R.
Dorai, Kavita
contents 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.
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publishDate 2023
record_format arxiv
spellingShingle Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
Gulati, Vaishali
Jagadish, Vinayak
Srikanth, R.
Dorai, Kavita
Quantum Physics
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.
title Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
topic Quantum Physics
url https://arxiv.org/abs/2307.02899