Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits

被引：77

作者：

Kiktenko, E. O. ^{[1
,2
]}

Fedorov, A. K. ^{[1
,3
]}

Strakhov, A. A. ^{[4
]}

Man'ko, V. I. ^{[4
,5
]}

机构：

[1] Bauman Moscow State Tech Univ, Moscow 105005, Russia

[2] Russian Acad Sci, Geoelectromagnet Res Ctr, Schmidt Inst Phys Earth, Troitsk 142190, Moscow Region, Russia

[3] Russian Quantum Ctr, Moscow 143025, Russia

[4] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia

[5] Russian Acad Sci, PN Lebedev Phys Inst, Moscow 119991, Russia

来源：

PHYSICS LETTERS A | 2015年 / 379卷 / 22-23期

关键词：

IMPLEMENTATION;

D O I：

10.1016/j.physleta.2015.03.023

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Design of a large-scale quantum computer has paramount importance for science and technologies. We investigate a scheme for realization of quantum algorithms using noncomposite quantum systems, i.e., systems without subsystems. In this framework, n artificially allocated "subsystems" play a role of qubits in n-qubits quantum algorithms. With focus on two-qubit quantum algorithms, we demonstrate a realization of the universal set of gates using a d = 5 single qudit state. Manipulation with an ancillary level in the systems allows effective implementation of operators from U(4) group via operators from SU(5) group. Using a possible experimental realization of such systems through anharmonic superconducting many-level quantum circuits, we present a blueprint for a single qudit realization of the Deutsch algorithm, which generalizes previously studied realization based on the virtual spin representation (Kessel et al., 2002 [9]). (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：1409 / 1413

页数：5

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