Simulation of Heisenberg XY interactions and realization of a perfect state transfer in spin chains using liquid nuclear magnetic resonance -: art. no. 012331

被引:100
作者
Zhang, JF [1 ]
Long, GL
Zhang, W
Deng, ZW
Liu, WZ
Lu, ZH
机构
[1] Tsinghua Univ, MOE, Key Lab Quantum Informat & Measurements, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
[3] Beijing Normal Univ, Testing & Analyt Ctr, Beijing 100875, Peoples R China
[4] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
[5] Tsinghua Univ, Key Lab Atom & Mol Nanosci, Beijing 100084, Peoples R China
关键词
D O I
10.1103/PhysRevA.72.012331
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The three-spin chain with a Heisenberg XY interaction is simulated in a three-qubit nuclear magnetic resonance quantum computer. The evolution caused by the XY interaction is decomposed into a series of single-spin rotations and the J-coupling evolutions between the neighboring spins. The perfect state transfer algorithm proposed by Christandl [Phys. Rev. Lett. 92, 187902 (2004)] is realized in the XY chain.
引用
收藏
页数:8
相关论文
共 60 条
[1]   Natural thermal and magnetic entanglement in the 1D Heisenberg model [J].
Arnesen, MC ;
Bose, S ;
Vedral, V .
PHYSICAL REVIEW LETTERS, 2001, 87 (01)
[2]   Universal fault-tolerant quantum computation on decoherence-free subspaces [J].
Bacon, D ;
Kempe, J ;
Lidar, DA ;
Whaley, KB .
PHYSICAL REVIEW LETTERS, 2000, 85 (08) :1758-1761
[3]   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
[4]   Simulating quantum mechanics on a quantum computer [J].
Boghosian, BM ;
Taylor, W .
PHYSICA D-NONLINEAR PHENOMENA, 1998, 120 (1-2) :30-42
[5]   Experimental implementation of a concatenated quantum error-correcting code [J].
Boulant, N ;
Viola, L ;
Fortunato, EM ;
Cory, DG .
PHYSICAL REVIEW LETTERS, 2005, 94 (13)
[6]   Practical scheme for quantum computation with any two-qubit entangling gate [J].
Bremner, MJ ;
Dawson, CM ;
Dodd, JL ;
Gilchrist, A ;
Harrow, AW ;
Mortimer, D ;
Nielsen, MA ;
Osborne, TJ .
PHYSICAL REVIEW LETTERS, 2002, 89 (24)
[7]   Coupled quantum dots as quantum gates [J].
Burkard, G ;
Loss, D ;
DiVincenzo, DP .
PHYSICAL REVIEW B, 1999, 59 (03) :2070-2078
[8]   Perfect transfer of arbitrary states in quantum spin networks [J].
Christandl, M ;
Datta, N ;
Dorlas, TC ;
Ekert, A ;
Kay, A ;
Landahl, AJ .
PHYSICAL REVIEW A, 2005, 71 (03)
[9]   Perfect state transfer in quantum spin networks [J].
Christandl, M ;
Datta, N ;
Ekert, A ;
Landahl, AJ .
PHYSICAL REVIEW LETTERS, 2004, 92 (18) :187902-1
[10]   Bulk quantum computation with nuclear magnetic resonance: theory and experiment [J].
Chuang, IL ;
Gershenfeld, N ;
Kubinec, MG ;
Leung, DW .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1969) :447-467