Speed limits for quantum gates in multiqubit systems

被引：76

作者：

Ashhab, S. ^{[1
,2
]}

de Groot, P. C. ^{[3
]}

Nori, Franco ^{[1
,2
]}

机构：

[1] RIKEN, Adv Sci Inst, Wako, Saitama 3510198, Japan

[2] Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USA

[3] Delft Univ Technol, Kavli Inst Nanosci, NL-2600 GA Delft, Netherlands

来源：

PHYSICAL REVIEW A | 2012年 / 85卷 / 05期

关键词：

Quantum electronics - Spin waves - Quantum computers - Logic gates - Quantum optics;

D O I：

10.1103/PhysRevA.85.052327

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We use analytical and numerical calculations to obtain speed limits for various unitary quantum operations in multiqubit systems under typical experimental conditions. The operations that we consider include single-, two-, and three-qubit gates, as well as quantum-state transfer in a chain of qubits. We find in particular that simple methods for implementing two-qubit gates generally provide the fastest possible implementations of these gates. We also find that the three-qubit Toffoli gate time varies greatly depending on the type of interactions and the system's geometry, taking only slightly longer than a two-qubit controlled-NOT (CNOT) gate for a triangle geometry. The speed limit for quantum-state transfer across a qubit chain is set by the maximum spin-wave speed in the chain.

引用

页数：7

共 35 条

[1]

[Anonymous], 1945, J. Phys. USSR, DOI DOI 10.1007/978-3-642-74626-0_8

[2] Interqubit coupling mediated by a high-excitation-energy quantum object [J].

Ashhab, S. ;

Niskanen, A. O. ;

Harrabi, K. ;

Nakamura, Y. ;

Picot, T. ;

de Groot, P. C. ;

Harmans, C. J. P. M. ;

Mooij, J. E. ;

Nori, Franco .

PHYSICAL REVIEW B, 2008, 77 (01)

[3] Switchable coupling for superconducting qubits using double resonance in the presence of crosstalk [J].

Ashhab, S. ;

Nori, Franco .

PHYSICAL REVIEW B, 2007, 76 (13)

[4] ELEMENTARY GATES FOR QUANTUM COMPUTATION [J].

BARENCO, A ;

BENNETT, CH ;

CLEVE, R ;

DIVINCENZO, DP ;

MARGOLUS, N ;

SHOR, P ;

SLEATOR, T ;

SMOLIN, JA ;

WEINFURTER, H .

PHYSICAL REVIEW A, 1995, 52 (05) :3457-3467

[5] Parametric coupling for superconducting qubits [J].

Bertet, P ;

Harmans, CJPM ;

Mooij, JE .

PHYSICAL REVIEW B, 2006, 73 (06)

[6] Quantum communication through an unmodulated spin chain [J].

Bose, S .

PHYSICAL REVIEW LETTERS, 2003, 91 (20)

[7] Control of quantum phenomena: past, present and future [J].

Brif, Constantin ;

Chakrabarti, Raj ;

Rabitz, Herschel .

NEW JOURNAL OF PHYSICS, 2010, 12

[8] Natural and artificial atoms for quantum computation [J].

Buluta, Iulia ;

Ashhab, Sahel ;

Nori, Franco .

REPORTS ON PROGRESS IN PHYSICS, 2011, 74 (10)

[9] Optimal Control at the Quantum Speed Limit [J].

Caneva, T. ;

Murphy, M. ;

Calarco, T. ;

Fazio, R. ;

Montangero, S. ;

Giovannetti, V. ;

Santoro, G. E. .

PHYSICAL REVIEW LETTERS, 2009, 103 (24)

[10] Time-optimal CNOT between indirectly coupled qubits in a linear Ising chain [J].

Carlini, Alberto ;

Hosoya, Akio ;

Koike, Tatsuhiko ;

Okudaira, Yosuke .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (14)

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