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Concatenated Composite Pulses: Toward High-Precision Quantum Gate Implementation

Financial supports from Kinki Univ., MEXT and JPSJ. Concatenated Composite Pulses: Toward High-Precision Quantum Gate Implementation . Mikio Nakahara Department of Physics, Kinki University, Japan Collaborators; M. Bando, U. Gungordu , T. Ichikawa and Y. Kondo

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Concatenated Composite Pulses: Toward High-Precision Quantum Gate Implementation

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  1. Financial supports from Kinki Univ., MEXT and JPSJ Concatenated Composite Pulses: Toward High-Precision Quantum Gate Implementation Mikio Nakahara Department of Physics, Kinki University, Japan Collaborators; M. Bando, U. Gungordu, T. Ichikawa and Y. Kondo Phys. Rev. A 84(2011) 062311. J. Phys. Soc. Jpn, 82 (2013) 014004. Phys. Rev. A87 (2013) 022323.

  2. 1. Motivations NMR QIP in Rio 2013

  3. NMR QIP in Rio 2013

  4. NMR QIP in Rio 2013

  5. 2. Hamiltonian with Errors NMR QIP in Rio 2013

  6. Two types of errors in NMR context Pulse length error is due to inhomogeneity in the rf field. Off-resonance error is due to inhomogeneity in the static strong magnetic field. They distort the NMR spectrum and cause error in gate operations. NMR QIP in Rio 2013

  7. Time-Development Operator with Errors NMR QIP in Rio 2013

  8. 3. Composite Pulses NMR QIP in Rio 2013

  9. Idea of Composite Pulses NMR QIP in Rio 2013

  10. Time-Development Operator with Errors NMR QIP in Rio 2013

  11. NMR signal in the presence of errors NMR QIP in Rio 2013

  12. N=2 cases NMR QIP in Rio 2013

  13. T. Ichikawa, M. Bando, Y. Kondo, and M. Nakahara: Phys. Rev. A 84 (2011) 062311. M. Bando, T. Ichikawa, Y. Kondo and M. Nakahara, J. Phys. Soc. Jpn. 82, 014004 (2013). NMR QIP in Rio 2013

  14. Examples NMR QIP in Rio 2013

  15. NMR QIP in Rio 2013

  16. 4. ConCatenated Composite Pulses (CCCP) NMR QIP in Rio 2013

  17. Shor’s 9-qubit QECC NMR QIP in Rio 2013

  18. Successful Example (CinSK) NMR QIP in Rio 2013

  19. Residual Error Preserving Property NMR QIP in Rio 2013

  20. NMR QIP in Rio 2013

  21. Example NMR QIP in Rio 2013

  22. NMR QIP in Rio 2013

  23. NMR QIP in Rio 2013

  24. 5. Reduced CCCP NMR QIP in Rio 2013

  25. Example 1; reduced CinSK NMR QIP in Rio 2013

  26. Example 2; reduced CinBB NMR QIP in Rio 2013

  27. NMR QIP in Rio 2013

  28. Fidelity Profiles NMR QIP in Rio 2013

  29. NMR results NMR QIP in Rio 2013

  30. 6. Robust 2-qubit Gates NMR QIP in Rio 2013

  31. NMR QIP in Rio 2013

  32. NMR QIP in Rio 2013

  33. NMR QIP in Rio 2013

  34. NMR QIP in Rio 2013

  35. 6. Summary NMR QIP in Rio 2013

  36. NMR QIP in Rio 2013

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