Using continuous measurement to protect a universal set of quantum gates within a perturbed decoherence-free subspace

Journal of Physics A: Mathematical and General

Volumn 38, Issue 6, 2005, Pages

  Mendonça, Paulo E M F ^a   Marchiolli, Marcelo A ^b   Napolitano, Reginaldo D J ^b  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24144436150     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/6/L04     Document Type: Article

References (30)

1. Shor P W 1994 Proc. 35th Annual Symp. on the Foundations of Computer Science ed S Goldwasser (Los Alamitos, CA: IEEE Computer Science) p 124
2. Shor P W 1997 Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer SIAM J. Comput. 26 1484
3. Grover L K 1997 Quantum computers can search arbitrarily large databases by a single query Phys. Rev. Lett. 79 4709
4. Shor P W 1995 Scheme for reducing decoherence in quantum computer memory Phys. Rev. A 52 R2493
5. Zurek W H 2003 Decoherence, einselection, and the quantum origins of the classical Rev. Mod. Phys. 75 715
6. Palma G M, Suominen K A and Ekert A K 1996 Quantum computers and dissipation Proc. R. Soc. Lond. A 452 567
7. Duan L M and Guo G C 1997 Preserving coherence in quantum computation by pairing quantum bits Phys. Rev. Lett. 79 1953
8. Zanardi P and Rasetti M 1997 Noiseless quantum codes Phys. Rev. Lett. 79 3306
9. Lidar D A, Chuang I L and Whaley K B 1998 Decoherence-free subspaces for quantum computation Phys. Rev. Lett. 81 2594
10. Zanardi P 1999 Computation on an error-avoiding quantum code and symmetrization Phys. Rev. A 60 R729
11. Bacon D, Lidar D A and Whaley K B 1999 Robustness of decoherence-free subspaces for quantum computation Phys. Rev. A 60 1944
12. Kempe J, Bacon D, Lidar D A and Whaley K B 2001 Theory of decoherence-free fault-tolerant universal quantum computation Phys. Rev. A 63 042307
13. Braun D, Braun P A and Haake F 2000 Long-lived quantum coherence between macroscopically distinct states in superradiance Opt. Conmun. 179 411
14. Beige A, Braun D, Tregenna B and Knight P L 2000 Quantum computing using dissipation to remain in a decoherence-free subspace Phys. Rev. Lett. 85 1762
15. Kwiat P G, Berglund A J, Altepeter J B and White A G 2000 Experimental verification of decoherence-free subspaces Science 290 498
16. Altepeter J B, Hadley P G, Wendelken S M, Berglund A J and Kwiat P G 2004 Experimental investigation of a two-qubit decoherence-free subspace Phys. Rev. Lett. 92 147901
17. Kielpinski D, Meyer V, Rowe M A, Sackett C A, Itano W M, Monroe C and Wineland D J 2001 A decoherence-free quantum memory using trapped ions Science 291 1013
18. Mohseni M, Lundeen J S, Resch K J and Steinberg A M 2003 Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm Phys. Rev. Lett. 91 187903
19. Ollerenshaw J E, Lidar D A and Kay L E 2003 Magnetic resonance realization of decoherence-free quantum computation Phys. Rev. Lett. 91 217904
20. Bourennane M, Eibl M, Gaertner S, Kurtsiefer C, Cabello A and Weinfurter H 2004 Decoherence-free quantum information processing with four-photon entangled states Phys. Rev. Lett. 92 107901
21. DiVincenzo D P 1995 Two-bit gates are universal for quantum computation Phys. Rev. A 51 1015
22. Bremner M J, Dawson C M, Dodd J L, Gilchrist A, Harrow A W, Mortimer D, Nielsen M A and Osborne T J 2002 Practical scheme for quantum computation with any two-qubit entangling gate Phys. Rev. Lett. 89 247902
23. Braun D, Haake F and Strunz W T 2001 Universality of decoherence Phys. Rev. Lett. 86 2913
24. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
25. Reina J H, Quiroga L and Johnson N F 2002 Decoherence of quantum registers Phys. Rev. A 65 032326
26. Perelomov A 1986 Generalized Coherent States and Their Applications (Berlin: Springer)
27. Wu L-A and Lidar D A 2002 Creating decoherence-free subspaces using strong and fast pulses Phys. Rev. Lett. 88 207902
28. Byrd M S and Lidar D A 2002 Comprehensive encoding and decoupling solution to problems of decoherence and design in solid-state quantum computing Phys. Rev. Lett. 89 047901
29. Wu L-A, Byrd M S and Lidar D A 2002 Efficient universal leakage elimination for physical and encoded qubits Phys. Rev. Lett. 89 127901
30. Facchi P, Lidar D A and Pascazio S 2004 Unification of dynamical decoupling and the quantum Zeno effect Phys. Rev. A 69 032314