Spin chains as perfect quantum state mirrors

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 3, 2005, Pages

  Karbach, Peter ^a   Stolze, Joachim ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED QUBITS; QUANTUM STATE MIRRORS; SPIN CHAINS;

FERMIONS; INFORMATION THEORY; LATTICE CONSTANTS; MAPPING; QUANTUM THEORY;

MIRRORS;

EID: 28844448675     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.030301     Document Type: Article

References (36)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2001).
2. G. Burkard, cond-mat/0409626.
3. N. Khaneja and S. J. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.060301 66, 060301 (R) (2002).
4. S. Bose, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.207901 91, 207901 (2003).
5. V. Subrahmanyam, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.034304 69, 034304 (2004).
6. A. Romito, R. Fazio, and C. Bruder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.100501 71, 100501 (R) (2005).
7. M. Paternostro, G. M. Palma, M. S. Kim, and G. Falci, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.042311 71, 042311 (2005).
8. T. J. Osborne and N. Linden, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052315 69, 052315 (2004).
9. D. Burgarth and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052315 71, 052315 (2005).
10. D. Burgarth and S. Bose, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/135 7, 135 (2005).
11. D. Burgarth, V. Giovannetti, and S. Bose, J. Phys. A JPHAC5 0305-4470 38, 6793 (2005).
12. L. Amico, A. Osterloh, F. Plastina, R. Fazio, and G. M. Palma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022304 69, 022304 (2004).
13. T. Niemeijer, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(67) 90235-2 36, 377 (1967).
14. B. M. McCoy, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.173.531 173, 531 (1968).
15. E. Barouch and B. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.786 3, 786 (1971).
16. B. M. McCoy, E. Barouch, and D. B. Abraham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.4.2331 4, 2331 (1971).
17. H. G. Vaidya and C. A. Tracy, Physica A PHYADX 0378-4371 10.1016/0378-4371(78)90019-5 92A, 1 (1978).
18. B. M. McCoy, J. H. H. Perk, and R. E. Shrock, Nucl. Phys. B: Field Theory Stat. Syst. NBSSDR 0169-6823 220 [FS8], 35 (1983).
19. B. M. McCoy, J. H. H. Perk, and R. E. Shrock, Nucl. Phys. B: Field Theory Stat. Syst. NBSSDR 0169-6823 220 [FS8], 269 (1983).
20. G. Müller and R. E. Shrock, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.288 29, 288 (1984).
21. J. Schnack and P. Shchelokovskyy, submitted to Phys. Rev. B PRBMDO 0163-1829.
22. M. Christandl, N. Datta, A. Ekert, and A. J. Landahl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.187902 92, 187902 (2004).
23. M. Christandl, N. Datta, T. C. Dorlas, A. Ekert, A. Kay, and A. J. Landahl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032312 71, 032312 (2005).
24. C. Albanese, M. Christandl, N. Datta, and A. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.230502 93, 230502 (2004).
25. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. ANPYA2 0003-3804 16, 407 (1961).
26. S. Katsura, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.1508 127, 1508 (1962).
27. F. R. Gantmacher and M. G. Krein, Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems (AMS, Providence, RI, 2002).
28. O. H. Hald, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/0024-3795(76) 90064-1 14, 63 (1976).
29. H. Hochstadt, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/0024-3795(74) 90077-9 8, 435 (1974).
30. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN: the Art of Scientific Computing (Cambridge University Press, Cambridge, 1992).
31. M.-H. Yung and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032310 71, 032310 (2005).
32. T. Shi, Y. Li, Z. Song, and C.-P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032309 71, 032309 (2005).
33. A. Sur, D. Jasnow, and I. J. Lowe, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.12.3845 12, 3845 (1975).
34. U. Brandt and K. Jacoby, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01320179 25, 181 (1976).
35. H. Capel and J. Perk, Physica A PHYADX 0378-4371 10.1016/0378-4371(77) 90014-0 87A, 211 (1977).
36. G. D. Chiara, D. Rossini, S. Montangero, and R. Fazio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012323 72, 012323 (2005).