Dephasing of Majorana qubits due to quasistatic disorder
- URL: http://arxiv.org/abs/2106.15679v2
- Date: Wed, 17 Nov 2021 10:31:02 GMT
- Title: Dephasing of Majorana qubits due to quasistatic disorder
- Authors: P\'eter Boross, Andr\'as P\'alyi
- Abstract summary: We study Majorana-qubit dephasing in a minimal model in a Kitaev chain with quasistatic disorder.
We show that, as system parameters are varied, the dephasing rate due to disorder oscillates out-of-phase with respect to the oscillating Majorana splitting of the clean system.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum bits based on Majorana zero modes are expected to be robust against
certain noise types, and hence provide a quantum computing platform that is
superior to conventional qubits. This robustness is not complete though:
imperfections can still lead to qubit decoherence and hence to information
loss. In this work, we theoretically study Majorana-qubit dephasing in a
minimal model: in a Kitaev chain with quasistatic disorder. Our approach, based
on numerics as well as first-order non-degenerate perturbation theory, provides
a conceptually simple physical picture and predicts Gaussian dephasing. We show
that, as system parameters are varied, the dephasing rate due to disorder
oscillates out-of-phase with respect to the oscillating Majorana splitting of
the clean system. In our model, first-order dephasing sweet spots are absent if
disorder is uncorrelated. We describe the crossover between uncorrelated and
highly correlated disorder, and show that dephasing measurements can be used to
characterize the disorder correlation length. We expect that our results will
be utilized for the design and interpretation of future Majorana-qubit
experiments.
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