Efficient universal quantum computation with auxiliary Hilbert space

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 88, Issue 3, 2013, Pages

  Li, Wen Dong ^a,b   Gu, Yong Jian ^a   Liu, Kai ^a   Lee, Yuan Harng ^b   Zhang, Yao Zhong ^b  

^a OCEAN UNIVERSITY OF CHINA   (China)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

POLARIZATION STATE; QUANTUM CIRCUIT; QUBIT SYSTEM; SHANNON DECOMPOSITION;

LOGIC CIRCUITS; QUANTUM COMPUTERS; QUANTUM OPTICS; VECTOR SPACES;

HILBERT SPACES;

EID: 84884899073     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.88.034303     Document Type: Article

References (22)

1. D. Deutsch, Proc. R. Soc. Lond. A 1364-5021 10.1098/rspa.1985.0070 400, 97 (1985).
2. J. L. O'Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, Nature NATUAS 0028-0836 10.1038/nature02054 426, 264 (2003). (Pubitemid 37463140)
3. F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, Nature NATUAS 0028-0836 10.1038/nature01494 422, 408 (2003). (Pubitemid 36411389)
4. J. H. Plantenberg, P. C. de Groot, C. J. P. M. Harmans, and J. E. Mooij, Nature NATUAS 0028-0836 10.1038/nature05896 447, 836 (2007). (Pubitemid 46920142)
5. M. Anderlini, P. J. Lee, B. L. Brown, J. Sebby-Strabley, W. D. Phillips, and J. V. Porto, Nature NATUAS 0028-0836 10.1038/nature06011 448, 452 (2007). (Pubitemid 47123519)
6. D. Hanneke, J. P. Home, J. D. Jost, J. M. Amini, D. Leibfried, and D. J. Wineland, Nat. Phys. 1745-2473 10.1038/nphys1453 6, 13 (2010).
7. J. J. Vartiainen, M. Möttönen, and M. M. Salomaa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.177902 92, 177902 (2004).
8. M. Möttönen, J. J. Vartiainen, V. Bergholm, and M. M. Salomaa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.130502 93, 130502 (2004).
9. V. V. Shende, S. S. Bullock, and I. L. Markov, IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. ITCSDI 0278-0070 10.1109/TCAD.2005.855930 25, 1000 (2006).
10. M. Möttönen, and J. J. Vartiainen, Trends in Quantum Computing Research (NOVA Publishers, New York, 2006), Chap. 7.
11. V. V. Shende, I. L. Markov, and S. S. Bullock, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062321 69, 062321 (2004).
12. B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O'Brien, A. Gilchrist, and A. G. White, Nat. Phys. 1745-2473 10.1038/nphys1150 5, 134 (2009).
13. T. C. Ralph, K. J. Resch, and A. Gilchrist, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.022313 75, 022313 (2007).
14. A. Muthukrishnan and C. R. Stroud, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052309 62, 052309 (2000). (Pubitemid 32023273)
15. G. K. Brennen, S. S. Bullock, and D. P. O'Leary, Quantum Inf. Comput. 6, 436 (2006).
16. G. K. Brennen, D. P. O'Leary, and S. S. Bullock, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052318 71, 052318 (2005). (Pubitemid 41481317)
17. S. S. Bullock, D. P. O'Leary, and G. K. Brennen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.230502 94, 230502 (2005). (Pubitemid 41636527)
18. F. S. Khan and M. Perkowski, Theor. Comp. Sci. TCSCDI 0304-3975 10.1016/j.tcs.2006.09.006 367, 336 (2006). (Pubitemid 44709800)
19. Y. Nakajima, Y. Kawano, H. Sekigawa, M. Nakanishi, S. Yamashita, and Y. Nakashima, Quantum Inf. Comput. 9, 423 (2009).
20. C. C. Paige and M. Wei, Linear Algebra Appl. LAAPAW 0024-3795 10.1016/0024-3795(94)90446-4 209, 303 (1994).
21. L. M. Duan and H. J. Kimble, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.127902 92, 127902 (2004).
22. B. Wang and L. M. Duan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.050304 75, 050304 (2007). (Pubitemid 47014577)