Transitions in the computational power of thermal states for measurement-based quantum computation

被引:16
作者
Barrett, Sean D. [1 ]
Bartlett, Stephen D. [2 ]
Doherty, Andrew C. [3 ]
Jennings, David [2 ]
Rudolph, Terry [1 ,4 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Opt Sect, London SW7 2BZ, England
[2] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia
[3] Univ Queensland, Sch Phys Sci, St Lucia, Qld 4072, Australia
[4] Univ London Imperial Coll Sci Technol & Med, Inst Math Sci, London SW7 2BW, England
来源
PHYSICAL REVIEW A | 2009年 / 80卷 / 06期
基金
英国工程与自然科学研究理事会;
关键词
CLUSTER;
D O I
10.1103/PhysRevA.80.062328
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We show that the usefulness of the thermal state of a specific spin-lattice model for measurement-based quantum computing exhibits a transition between two distinct "phases"-one in which every state is a universal resource for quantum computation, and another in which any local measurement sequence can be simulated efficiently on a classical computer. Remarkably, this transition in computational power does not coincide with any phase transition, classical, or quantum in the underlying spin-lattice model.
引用
收藏
页数:8
相关论文
共 22 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]   Simple nearest-neighbor two-body Hamiltonian system for which the ground state is a universal resource for quantum computation [J].
Bartlett, Stephen D. ;
Rudolph, Terry .
PHYSICAL REVIEW A, 2006, 74 (04)
[3]   Largest cluster in subcritical, percolation [J].
Bazant, MZ .
PHYSICAL REVIEW E, 2000, 62 (02) :1660-1669
[4]   Measurement-based quantum computation with the toric code states [J].
Bravyi, Sergey ;
Raussendorf, Robert .
PHYSICAL REVIEW A, 2007, 76 (02)
[5]   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
[6]   Identifying Phases of Quantum Many-Body Systems That Are Universal for Quantum Computation [J].
Doherty, Andrew C. ;
Bartlett, Stephen D. .
PHYSICAL REVIEW LETTERS, 2009, 103 (02)
[7]  
Grimmett G., 1989, Percolation
[8]   Measurement-based quantum computation beyond the one-way model [J].
Gross, D. ;
Eisert, J. ;
Schuch, N. ;
Perez-Garcia, D. .
PHYSICAL REVIEW A, 2007, 76 (05)
[9]   Percolation, renormalization, and quantum computing with nondeterministic gates [J].
Kieling, K. ;
Rudolph, T. ;
Eisert, J. .
PHYSICAL REVIEW LETTERS, 2007, 99 (13)
[10]   Separability and entanglement of composite quantum systems [J].
Lewenstein, M ;
Sanpera, A .
PHYSICAL REVIEW LETTERS, 1998, 80 (11) :2261-2264