Quantum phase estimation and the Aharonov-Bohm effect

被引：0

作者：

Splittorff, K. ^{[1
]}

机构：

[1] Univ Copenhagen, Niels Bohr Inst, NNF Quantum Comp Programme, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark

来源：

PHYSICAL REVIEW A | 2024年 / 110卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.110.052426

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We consider the time evolution of a particle on a ring with a long solenoid through and show that due to the Aharonov-Bohm effect this system naturally makes up a physical implementation of the quantum phase estimation algorithm for a U(1) unitary operator. The implementation of the full quantum phase estimation algorithm with a U(N) unitary operator is realized through the non-Abelian Aharonov-Bohm effect. The implementation allows for a more physically intuitive understanding of the algorithm. As an example we use the path integral formulation of the implemented quantum phase estimation algorithm to analyze the classical limit h<overline> - 0.

引用

页数：8

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[31] THE AHARONOV-BOHM EFFECT IN THE FRACTIONAL QUANTUM HALL REGIME [J].

FORD, CJB ;

SIMPSON, PJ ;

ZAILER, I ;

FRANKLIN, JDF ;

BARNES, CHW ;

FROST, JEF ;

RITCHIE, DA ;

PEPPER, M .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1994, 6 (47) :L725-L730

[32] Tunable exciton Aharonov-Bohm effect in a quantum ring [J].

Li, Bin ;

Magnus, W. ;

Peeters, F. M. .

11TH INTERNATIONAL CONFERENCE ON OPTICS OF EXCITONS IN CONFINED SYSTEMS (OECS11), 2010, 210

[33] AHARONOV-BOHM EFFECT IN SEMICONDUCTOR QUANTUM-WELLS [J].

ELCI, A ;

DEPATIE, D .

SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 1994, 9 (02) :163-173

[34] Aharonov-Bohm effect of a quantum ring in the Kondo regime [J].

Keyser, UF ;

Fühner, C ;

Haug, RJ ;

Wegscheider, W ;

Bichler, M ;

Abstreiter, G .

PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2003, 238 (02) :331-334

[35] Exciton <>Aharonov-Bohm<> effect in quantum dot rings [J].

Grochol, M. ;

Grosse, F. ;

Zimmermann, R. .

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[36] CONSISTENCY OF THE AHARONOV-BOHM EFFECT WITH QUANTUM-THEORY [J].

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AU, CK ;

LERNER, EC ;

LIANG, JQ .

LETTERE AL NUOVO CIMENTO, 1984, 39 (08) :145-147

[37] The Aharonov-Bohm effect in concentric quantum double rings [J].

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[38] Utilising the Aharonov-Bohm Effect in Quantum Device Design [J].

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[39] Tunable Pseudogap Kondo Effect and Quantum Phase Transitions in Aharonov-Bohm Interferometers [J].

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Ulloa, Sergio E. .

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[40] Phase shift of an electron wave through a quantum dot and Aharonov-Bohm effect [J].

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