Perfect information transfer in spin chains and perfect state control in quantum chains

J4 ›› 2011, Vol. 28 ›› Issue (5): 564-570.

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Perfect information transfer in spin chains and perfect state control in quantum chains

CHEN Xin^1,2, SHI Jun-hui³, GE Yun-jian¹, SHUANG Feng¹

1 Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei 230031, China；
2 Department of Automation, University of Science and Technology of China, Hefei 230026, China；
3 Department of Chemistry, Princeton University, Princeton, New Jersey, 08544, USA)

Received:2010-05-27 Revised:2010-10-19 Published:2011-09-28 Online:2011-08-18

Abstract

Abstract:

Based on analysis of neighbor-coupled spin chains, a method to get the parameters of the spin chains for perfect information transfer is given, and all analytical solutions are obtained by using Groebner basis analysis. The method is suitable to get the parameters of pulse-driven perfect state control in multilevel chains. The results can be used to analyze structures of the solutions or find particular parameters with optimal properties.

Key words: quantum control, quantum information transfer, population transfer, Groebner analysis

CLC Number:

O431.2

CHEN Xin, SHI Jun-hui, GE Yun-jian, SHUANG Feng . Perfect information transfer in spin chains and perfect state control in quantum chains[J]. J4, 2011, 28(5): 564-570.

References

[1] W. Yan, W. Zhang. Quantum teleportation of canonical variables [ J ]. Chinese Journal of Quantum Electronics(量子电子学报)，2008, 25(1): 56-59 (in Chinese).
[2] K. Xiong, J. Ai, Controlled teleportation of unknown atomic states using non-maximally entangled states [ J ]. Chinese Journal of Quantum Electronics (量子电子学报)，2008, 25(1): 565-569.
[3] D. Deutsch, R. Jozsa. Rapid solution of problems by quantum computation [ J ]. Proceedings: Mathematical and Physical Sciences, 1992, 439(1907):553–558.
[4] L.K. Grover. Quantum computers can search arbitrarily large databases by a single query [ J ]. Physical review letters, 1997, 79(23):4709–4712.
[5] R.P. Feynman. Simulating physics with computers [ J ]. International journal of theoretical physics, 1982, 21(6):467–488.
[6] M. Geller, A. Cleland. Superconducting qubits coupled to nanoelectromechanical resonators: An architecture for solid-state quantum-information processing [ J ]. Physical Review A, 2005, 71(3):32311.
[7] C. Barnes, J. Shilton, A. Robinson. Quantum computation using electrons trapped by surface acoustic waves [ J ]. Physical Review B, 2000, 62(12):8410–8419.
[8] A. Skinner, M. Davenport, B. Kane. Hydrogenic spin quantum computing in silicon: a digital approach [ J ]. Physical review letters, 2003, 90(8):87901.
[9] B. Blinov, D. Moehring, L.M. Duan,et al. Observation of entanglement between a single trapped atom and a single photon [ J ]. Nature, 2004, 428(6979):153–157.
[10] S. Bose. Quantum communication through an unmodulated spin chain [ J ]. Physical Review Letters, 2003, 91(20): 20791.
[11] M. Christandl, N. Datta, T.C. Dorlas,et al. Perfect transfer of arbitrary states in quantum spin networks [ J ]. Physical Review A, 2005, 71(3):32312.
[12] M. Christandl, N. Datta, A. Ekert, and A. J. Landahl. Perfect state transfer in quantumspin networks [ J ]. Physical Review Letters, 2004, 92(18):187902.
[13] B.W. Shore. Coherent manipulations of atoms using laser light [ J ]. Acta Physica Slovaca, 2008, 58:243-486.
[14] M.H.Yung, S.Bose. Perfect state transfer, effective gates and entanglement generation in engineered bosonic and fermionic networks [ J ]. Physical Review A, 2005, 71(3): 032310.

Perfect information transfer in spin chains and perfect state control in quantum chains

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