Related papers: Smoking-gun signatures of non-Markovianity of a superconducting qubit

Smoking-gun signatures of non-Markovianity of a superconducting qubit

URL: http://arxiv.org/abs/2302.09092v1
Date: Fri, 17 Feb 2023 19:00:06 GMT
Title: Smoking-gun signatures of non-Markovianity of a superconducting qubit
Authors: Bal\'azs Gul\'acsi, Guido Burkard
Abstract summary: We describe temporally correlated noise processes that influence the idle evolution of a superconducting transmon qubit. We show how a circuit Hamiltonian can be derived for transverse noise affecting the qubit.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We describe temporally correlated noise processes that influence the idle evolution of a superconducting transmon qubit. To model the composite qubit-environment system we use quantum circuit theory, and we show how a circuit Hamiltonian can be derived for transverse noise affecting the qubit. Based on the time-convolutionless projection operator method, we construct a time-local master equation which, when transformed to its canonical Lindblad form, exhbitis a decay rate that is negative at all times, corresponding to eternally non-Markovian dynamics. By expressing the solution of the master equation in the Kraus representation, we identify two crucial non-Markovian phenomena: periodic revivals of coherence, and the appearance of additional frequencies far from the qubit frequency in the precession of the qubit state. When a single qubit gate acts on the qubit state, these extra frequency terms rotate undesirably and they effectively act as the memory of the state prior to the rotation around the Bloch sphere.

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