This article is cited in 3 papers

Nonlinear and quantum optics

On quantitative determination of the degree of independence of qubit transformation by a quantum gate or channel

M. P. Faleeva^a, I. Yu. Popov^a, I. Žežula<sup>b

a</sup> ITMO University, St. Petersburg, 197101, Russia
^b Pavol Jozef Šafárik University in Košice, Košice, Slovakia

Abstract: A multiqubit channel (quantum gate) is considered. A procedure of calculating the distance from the quantum-gate matrix to the subspace of matrices, which are tensor products of the transformation matrices of qubit subsystems, is proposed. The value of this distance indicates the degree of independence of transformation of these qubit subsystems. The proposed approach is considered as applied to waveguide implementation of quantum bits.

Received: 22.12.2017

DOI: 10.21883/OS.2018.05.45953.313-17

 English version: Optics and Spectroscopy, 2018, 124:5, 720–725

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