Mitigation of Crosstalk Errors in a Quantum Measurement and Its Applications

Seo, Seungchan; Seong, Jiheon; Bae, Joonwoo

doi:10.48550/arxiv.2112.10651

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2024

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“…In such a scheme, the original noisy gate will be mapped into the composition of the ideal Ctrl-Not gate followed by a Pauli-Lindblad noise gate. This may then allow for error mitigation techniques which are quite effective [11,16,17], at least theoretically.…”

Section: Introductionmentioning

confidence: 99%

Normal quantum channels and Markovian correlated two-qubit quantum errors

Contreras Reynoso,

Gorin

2024

J. Phys. A: Math. Theor.

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We study general “normally” (Gaussian) distributed random unitarytransformations. These distributions can be defined in terms of a diffusive randomwalk in the respective group manifold. On the one hand, a Gaussian distributioninduces a unital quantum channel, which we will call “normal”. On the otherhand, the diffusive random walk defines a unital quantum process, generated by aLindblad master equation. In the single qubit case, we show different distributionsmay induce the same quantum channel.In the case of two qubits, we study normal quantum channels, induced byGaussian distributions in SU(2)⊗SU(2). They provide an appropriate frameworkfor modeling quantum errors with classical correlations. In contrast to correlatedPauli errors, for instance, they conserve their Markovianity, and they lead to verydifferent results in error correcting codes. This is illustrated with an applicationto entanglement distillation.

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Section: Introductionmentioning

confidence: 99%