Some properties of maximal trace measure of quantum computer error rate

Leonid E. Fedichkin; Andrii A. Kurkin

doi:10.1117/12.2624606

30 January 2022 Some properties of maximal trace measure of quantum computer error rate

Leonid E. Fedichkin, Andrii A. Kurkin

Proceedings Volume 12157, International Conference on Micro- and Nano-Electronics 2021; 121571X (2022) https://doi.org/10.1117/12.2624606
Event: International Conference on Micro- and Nano-Electronics 2021, 2021, Zvenigorod, Russian Federation

Abstract

Interaction of quantum system with environment makes the system change its coherent dynamics and it is extremely important to estimate this deviation in correct and clear way. In this paper we consider measure of decoherence based on trace norm. This measure is defined as a maximal norm of the density matrix deviation. We establish the property of additivity at short times: the sum of the individual qubit error measures provides an estimate of the error for a multiqubit system. This property is investigated for 2-qubit systems numerically. Rigorous analytical proof of asymptotic additivity is obtained.

Citation Download Citation

Leonid E. Fedichkin and Andrii A. Kurkin "Some properties of maximal trace measure of quantum computer error rate", Proc. SPIE 12157, International Conference on Micro- and Nano-Electronics 2021, 121571X (30 January 2022); https://doi.org/10.1117/12.2624606

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