Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource

被引：144

作者：

Wei, Tzu-Chieh ^{[1
]}

Affleck, Ian ^{[1
]}

Raussendorf, Robert ^{[1
]}

机构：

[1] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 106卷 / 07期

基金：

加拿大自然科学与工程研究理事会;

关键词：

BOND GROUND-STATES; ANTIFERROMAGNETS; ENTANGLEMENT;

D O I：

10.1103/PhysRevLett.106.070501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Universal quantum computation can be achieved by simply performing single-qubit measurements on a highly entangled resource state, such as cluster states. The family of Affleck-Kennedy-Lieb-Tasaki states has recently been intensively explored and shown to provide restricted computation. Here, we show that the two-dimensional Affleck-Kennedy-Lieb-Tasaki state on a honeycomb lattice is a universal resource for measurement-based quantum computation.

引用

页数：4

共 29 条

[1] RIGOROUS RESULTS ON VALENCE-BOND GROUND-STATES IN ANTIFERROMAGNETS [J].

AFFLECK, I ;

KENNEDY, T ;

LIEB, EH ;

TASAKI, H .

PHYSICAL REVIEW LETTERS, 1987, 59 (07) :799-802

[2] VALENCE BOND GROUND-STATES IN ISOTROPIC QUANTUM ANTIFERROMAGNETS [J].

AFFLECK, I ;

KENNEDY, T ;

LIEB, EH ;

TASAKI, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (03) :477-528

[3]

[Anonymous], 2007, Random Graph Dynamics

[4] Quantum Computational Renormalization in the Haldane Phase [J].

Bartlett, Stephen D. ;

Brennen, Gavin K. ;

Miyake, Akimasa ;

Renes, Joseph M. .

PHYSICAL REVIEW LETTERS, 2010, 105 (11)

[5] Are Random Pure States Useful for Quantum Computation? [J].

Bremner, Michael J. ;

Mora, Caterina ;

Winter, Andreas .

PHYSICAL REVIEW LETTERS, 2009, 102 (19)

[6] Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian [J].

Brennen, Gavin K. ;

Miyake, Akimasa .

PHYSICAL REVIEW LETTERS, 2008, 101 (01)

[7]

Briegel HJ, 2009, NAT PHYS, V5, P19, DOI [10.1038/NPHYS1157, 10.1038/nphys1157]

[8] Persistent entanglement in arrays of interacting particles [J].

Briegel, HJ ;

Raussendorf, R .

PHYSICAL REVIEW LETTERS, 2001, 86 (05) :910-913

[9] Phase transition of computational power in the resource states for one-way quantum computation [J].

Browne, Daniel E. ;

Elliott, Matthew B. ;

Flammia, Steven T. ;

Merkel, Seth T. ;

Miyake, Akimasa ;

Short, Anthony J. .

NEW JOURNAL OF PHYSICS, 2008, 10

[10] Quantum Computation in Correlation Space and Extremal Entanglement [J].

Cai, J. -M. ;

Duer, W. ;

Van den Nest, M. ;

Miyake, A. ;

Briegel, H. J. .

PHYSICAL REVIEW LETTERS, 2009, 103 (05)

← 1 2 3 →