Local controllability of quantum networks

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 6, 2009, Pages

  Burgarth, Daniel ^a   Bose, Sougato ^b   Bruder, Christoph ^c   Giovannetti, Vittorio ^d  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF BASEL   (Switzerland)

^d INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

HEISENBERG; LOCAL CONTROLLABILITY; MANY-BODY QUANTUM SYSTEMS; QUANTUM ALGORITHMS; QUANTUM NETWORK; SINGLE QUBIT; SUFFICIENT CRITERION;

QUANTUM OPTICS;

QUANTUM ELECTRONICS;

EID: 67249089055     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.060305     Document Type: Article

References (30)

1. B. E. Kane, Nature (London) 393, 133 (1998). 10.1038/30156
2. S. Lloyd, A. J. Landahl, and Jean-Jacques E. Slotine, Phys. Rev. A 69, 012305 (2004). 10.1103/PhysRevA.69.012305
3. F. Albertini and D. D'Alessandro, Linear Algebr. Appl. 10.1016/S0024-3795(02)00290-2 350, 213 (2002).
4. V. Ramakrishna, M. V. Salapaka, M. Dahleh, H. Rabitz, and A. Peirce, Phys. Rev. A 51, 960 (1995). 10.1103/PhysRevA.51.960
5. S. G. Schirmer, H. Fu, and A. I. Solomon, Phys. Rev. A 63, 063410 (2001) 10.1103/PhysRevA.63.063410
6. S. G. Schirmer, I. C. H. Pullen, and A. I. Solomon, J. Phys. A 35, 2327 (2002). 10.1088/0305-4470/35/9/319
7. T. Schulte-Herbrüggen, A. Spörl, N. Khaneja, and S. J. Glaser, Phys. Rev. A 72, 042331 (2005). 10.1103/PhysRevA.72.042331
8. J. Fitzsimons and J. Twamley, Phys. Rev. Lett. 97, 090502 (2006). 10.1103/PhysRevLett.97.090502
9. S. C. Benjamin and S. Bose, Phys. Rev. Lett. 90, 247901 (2003) 10.1103/PhysRevLett.90.247901
10. S. C. Benjamin and S. Bose, Phys. Rev. A 70, 032314 (2004). 10.1103/PhysRevA.70.032314
11. R. Raussendorf, Phys. Rev. A 72, 052301 (2005). 10.1103/PhysRevA.72. 052301
12. R. Romano and D. D'Alessandro, Phys. Rev. A 73, 022323 (2006). 10.1103/PhysRevA.73.022323
13. A. Kay, Phys. Rev. A 78, 012346 (2008). 10.1103/PhysRevA.78.012346
14. S. G. Schirmer, I. C. H. Pullen, and P. J. Pemberton-Ross, Phys. Rev. A 78, 062339 (2008). 10.1103/PhysRevA.78.062339
15. D. Burgarth and V. Giovannetti, Phys. Rev. Lett. 99, 100501 (2007). 10.1103/PhysRevLett.99.100501
16. D. Burgarth and V. Giovannetti, Quantum Information and Many Body Quantum Systems, edited by, M. Ericsson, and, S. Montangero, (Edizioni della Normale, Pisa, 2008), p. 17
17. e-print arXiv:0710.0302.
18. E. Jané, G. Vidal, W. Dür, P. Zoller, and J. I. Cirac, Quantum Inf. Comput. 3, 15 (2003)
19. L.-M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. 91, 090402 (2003). 10.1103/PhysRevLett.91.090402
20. M. J. Hartmann, F. G. S. L. Brandão, and M. B. Plenio, Nat. Phys. 2, 849 (2006). 10.1038/nphys462
21. D. G. Angelakis, M. F. Santos, and S. Bose, Phys. Rev. A 76, 031805 (R) (2007). 10.1103/PhysRevA.76.031805
22. A. Romito, R. Fazio, and C. Bruder, Phys. Rev. B 71, 100501 (R) (2005). 10.1103/PhysRevB.71.100501
23. A. Aazami (unpublished)
24. S. Severini, J. Phys. A: Math. Theor. 10.1088/1751-8113/41/48/482002 41, 482002 (2008)
25. N. Alon (unpublished).
26. Note that condition 6 is a stronger property than the condition of controlling n,m by acting on n. According to Eq. 1 the latter in fact reads i Hnm, L (n) =L (n,m), which is implied by Eq. 6.
27. I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987). 10.1103/PhysRevLett.59.799
28. A. Bayat and V. Karimipour, Phys. Rev. A 75, 022321 (2007). 10.1103/PhysRevA.75.022321
29. D. Burgarth, V. Giovannetti, and S. Bose, Phys. Rev. A 75, 062327 (2007). 10.1103/PhysRevA.75.062327
30. D. Burgarth, K. Maruyama, and F. Nori, Phys. Rev. A 79, 020305 (R) (2009). 10.1103/PhysRevA.79.020305