99%-fidelity ballistic quantum-state transfer through long uniform channels

被引:78
作者
Apollaro, T. J. G. [1 ,2 ]
Banchi, L. [3 ]
Cuccoli, A. [4 ,5 ]
Vaia, R. [6 ]
Verrucchi, P. [4 ,5 ,6 ]
机构
[1] Univ Calabria, Dipartimento Fis, I-87036 Arcavacata Di Rende, CS, Italy
[2] Univ Calabria, Ist Nazl Fis Nucl, Grp Collegato Cosenza, I-87036 Arcavacata Di Rende, CS, Italy
[3] ISI Fdn, I-10126 Turin, TO, Italy
[4] Univ Florence, Dipartimento Fis, I-50019 Sesto Fiorentino, FI, Italy
[5] Ist Nazl Fis Nucl, Sez Firenze, I-50019 Sesto Fiorentino, FI, Italy
[6] CNR, Ist Sistemi Complessi, I-50019 Sesto Fiorentino, FI, Italy
来源
PHYSICAL REVIEW A | 2012年 / 85卷 / 05期
关键词
CHAIN; PROPAGATION;
D O I
10.1103/PhysRevA.85.052319
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Quantum-state transfer with fidelity higher than 0.99 can be achieved in the ballistic regime of an arbitrarily long one-dimensional chain with uniform nearest-neighbor interaction, except for the two pairs of mirror-symmetric extremal bonds, say x (first and last) and y (second and penultimate). These have to be roughly tuned to suitable values x similar to 2N(-1/3) and y similar to 2(3/4)N(-1/6), where N is the chain length. The general framework can describe the end-to-end response in different models, such as fermion or boson hopping models and XX spin chains.
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页数:11
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共 47 条
[11]  
Briegel HJ, 2000, J MOD OPTIC, V47, P415, DOI 10.1080/095003400148303
[12]   Exploiting boundary states of imperfect spin chains for high-fidelity state transfer [J].
Bruderer, M. ;
Franke, K. ;
Ragg, S. ;
Belzig, W. ;
Obreschkow, D. .
PHYSICAL REVIEW A, 2012, 85 (02)
[13]   EIGENVALUES AND EIGENVECTORS OF SYMMETRIC CENTROSYMMETRIC MATRICES [J].
CANTONI, A ;
BUTLER, P .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1976, 13 (03) :275-288
[14]   Coherent-state transfer via highly mixed quantum spin chains [J].
Cappellaro, Paola ;
Viola, Lorenza ;
Ramanathan, Chandrasekhar .
PHYSICAL REVIEW A, 2011, 83 (03)
[15]   Perfect state transfer in quantum spin networks [J].
Christandl, M ;
Datta, N ;
Ekert, A ;
Landahl, AJ .
PHYSICAL REVIEW LETTERS, 2004, 92 (18) :187902-1
[16]   QUANTUM COMPUTATIONS WITH COLD TRAPPED IONS [J].
CIRAC, JI ;
ZOLLER, P .
PHYSICAL REVIEW LETTERS, 1995, 74 (20) :4091-4094
[17]   Perfect State Transfer on a Spin Chain without State Initialization [J].
Di Franco, C. ;
Paternostro, M. ;
Kim, M. S. .
PHYSICAL REVIEW LETTERS, 2008, 101 (23)
[18]   High-probability state transfer in spin-1/2 chains: Analytical and numerical approaches [J].
Fel'dman, E. B. ;
Kuznetsova, E. I. ;
Zenchuk, A. I. .
PHYSICAL REVIEW A, 2010, 82 (02)
[19]   Long-distance entanglement in many-body atomic and optical systems [J].
Giampaolo, Salvatore M. ;
Illuminati, Fabrizio .
NEW JOURNAL OF PHYSICS, 2010, 12
[20]   Long-distance entanglement and quantum teleportation in coupled-cavity arrays [J].
Giampaolo, Salvatore M. ;
Illuminati, Fabrizio .
PHYSICAL REVIEW A, 2009, 80 (05)