High-fidelity single-qubit gates using non-adiabatic rapid passage

Quantum Information and Computation

Volumn 7, Issue 7, 2007, Pages 594-608

  Li, Ran ^a   Hoover, Melique ^a   Gaitan, Frank ^a  

^a SOUTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Non adiabatic dynamics; Quantum computation; Quantum interference; Resonance

Indexed keywords

QUANTUM COMPUTERS; QUANTUM INTERFERENCE DEVICES; RESONANCE;

ERROR PROBABILITIES; FAULT TOLERANT SCHEMES; NON-ADIABATIC DYNAMICS; QUANTUM COMPUTING; QUANTUM INTERFERENCE; QUANTUM INTERFERENCE EFFECTS; SINGLE-QUBIT GATES; UNITARY OPERATION;

QUBITS;

EID: 34547496788     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. D. Gottesman, Stabilizer codes and quantum error correction, Ph. D. thesis, California Institute of Technology, Pasadena, CA (1997).
2. J. Preskill, Reliable quantum computers, Proc. R. Soc. Lond. A 454, 385 (1998).
3. E. Knill, R. Laflamme, and W. H. Zurek, Resilient quantum computation, Science 279, 342 (1998).
4. E. Knill, R. Laflamme, and W. H. Zurek, Resilient quantum computation: error models and thresholds, Proc. R. Soc. Lond. A 454, 365 (1998).
5. D. Aharonov and M. Ben-Or, Fault-tolerant computation with constant error, in Proceedings of the Twenty-Ninth ACM Symposium on the Theory of Computing, 176 (1997).
6. A. Y. Kitaev, Quantum computation algorithms and error correction, Russ. Math. Surv. 52, 1191 (1997).
7. A. Y. Kitaev, Quantum error correction with imperfect gates, in Quantum Communication, Computing, and Measurement (Plenum Press, New York, 1997), pp. 181-188.
8. D. Deutsch, Quantum theory, the Church-Turing principle, and the universal quantum computer, Proc. R. Soc. Lond. A 400, 97 (1985).
9. D. Deutsch, Quantum computational networks, Proc. R. Soc. Lond. A 425, 73 (1989).
10. A. Barenco et. al., Elementary gates for quantum computation, Phys. Rev. A 52, 3457 (1995).
11. D. Deutsch, A. Barenco, and A. Ekert, Universality in quantum computation, Proc. R. Soc. Lond. A 449, 669 (1995).
12. S. Lloyd, Almost any quantum gate is universal, Phys. Rev. Lett. 75, 346 (1995).
13. P. O. Boykin et. al., On universal and fault-tolerant quantum computing, in Proc. 40th Ann. Symp. on Found. Comp. Sc., 486 (1999).
14. J. W. Zwanziger, S. P. Rucker, and G. C. Chingas, Measuring the geometric component of the transition probability in a two-level system, Phys. Rev. A 43, 3232 (1991).
15. F. Gaitan, Temporal interferometry: A mechanism for controlling qubit transitions during twisted rapid passage with possible application to quantum computing, Phys. Rev. A 68, 052314 (2003).
16. D. Suter et. al. , Berry's phase in magnetic resonance, Mol. Phys. 61, 1327 (1987).
17. J. W. Zwanziger, U. Werner-Zwanziger, and F. Gaitan, Non-adiabatic rapid passage, Chem. Phys. Lett. 375, 429 (2003).
18. F. Gaitan, Berry's phase in the presence of a non-adiabatic environment with an application to magnetic resonance, J. Mag. Reson. 139, 152 (1999), see eq. [14].
19. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
20. A. Shapere and F. Wilczek, Geometric Phases in Physics (World Scientific, New Jersey, 1989).
21. W. H. Press et. al. , Numerical Recipes, 2nd. ed. (Cambridge University Press, New York, 1992).
22. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover Publications, Inc. New York, 1987).
23. J. J. L. Morton et. al., High fidelity single qubit operations using pulsed electron paramagnetic resonance, Phys. Rev. Lett. 95, 200501 (2005).
24. S. Wimperis, Broadband, narrowband, and passband composite pulses for use in advanced NMR experiments, J. Magn. Reson. Ser. A 109, 221 (1994).
25. M. A. Nielsen and I. L. Chuang (2000), Quantum Computation and Quantum Information, Cambridge University Press (New York).
26. F. Gaitan, Simulation of quantum adiabatic search in the presence of noise, Int. J. Quantum Info. 4, 843 (2006).