Practicality of time-optimal two-qubit Hamiltonian simulation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 4 A, 2003, Pages

  Haselgrove, Henry L ^a,b,c   Nielsen, Michael A ^a,b   Osborne, Tobias J ^a,d  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

^d UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; GROUND STATE; HAMILTONIANS; LOGIC GATES; MATRIX ALGEBRA; PARAMETER ESTIMATION; TENSORS; VECTORS;

QUANTUM GATE; TIME OPTIMAL SIMULATION; TWO QUBIT HAMILTONIAN SIMULATION;

QUANTUM THEORY;

EID: 8744256210     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. See Refs. [12,13,15-20] and references therein; see also Refs. [12,22] for related work.
2. K. Hammerer, G. Vidal, and J.I. Cirac, Phys. Rev. A 66, 062321 (2002).
3. G. Vidal, K. Hammerer, and J.I. Cirac, Phys. Rev. Lett. 88, 237902 (2002).
4. N. Khaneja, R. Brockett, and S.J. Glaser, Phys. Rev. A 63, 032308 (2001).
5. B. Kraus and J.J. Cirac, Phys. Rev. A 63, 062309 (2001).
6. S. Hill and W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).
7. A.M. Childs, H.L. Haselgrove, and M.A. Nielsen, e-print quant-ph/0307190.
8. C.H. Bennett, J.J. Cirac, M.S. Leifer, D.W. Leung, N. Linden, S. Popescu, and G. Vidal Phys. Rev. A 66, 012305 (2002), updated version of Ref. [13].
9. R.M. Wilcox, J. Math. Phys. 8, 962 (1967).
10. T. Kato, A Short Introduction to Perturbation Theory for Linear Operators (Springer-Verlag, Berlin, 1982).
11. J. Zhang, J. Vafa, S. Sastry, and K.B. Whaley, e-print quant-ph/0212109.
12. M.J. Bremmer, C.M. Dawson, J.L. Dodd, A. Gilchrist, A.W. Harrow, D. Mortimer, M.A. Nielsen, and T.J. Osborne, Phys. Rev. Lett. 89, 247902 (2002).
13. C.H. Bennett, J.I. Cirac, M.S. Leifer, D.W. Leung, N. Linden, S. Popescu, and G. Vidal, e-print quant-ph/0107035.
14. Mathematics of Quantum Computation, edited by R. K. Bryalinski and G. Chen, Computation Mathematics (Chapman and Hall, New York/CRC Press, Boca Raton, 2002).
15. J.L. Dodd, M.A. Nielsen, M.J. Bremner, and R.T. Thew, Phys. Rev. A 65, 040301(R) (2002).
16. P. Wocjan, D. Janzing, and T. Beth, Quantum Inf. Comput. 2, 117 (2002).
17. W. Dür, G. Vidal, J.J. Cirac, N. Linden, and S. Popescu, Phys. Rev. Lett. 87 137901 (2001).
18. M.A. Nielsen, M.J. Bremmer, J.L. Dodd, A.M. Childs, and C.M. Dawson, Phys. Rev. A 66, 022317 (2002).
19. G. Vidal and J.I. Cirac, e-print quant-ph/0108076.
20. J.L. Brylinski and R. Brylinski, in Mathematics of Quantum Computation edited by R. K. Brylinski and G. Chen, Computational Mathematics (Chapman and Hall, New York/CRC Press, Boca Raton, 2002). Chap. 11.
21. J.A. Jones and E. Knill, J. Magn. Reson. 141, 322 (1999).
22. D.W. Leung, I.L. Chung, F. Yamaguchi, and Y. Yamamoto, Phys. Rev. A 61, 042310 (2000).