concatenated composite pulses: toward high-precision quantum gate implementation
DESCRIPTION
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 - PowerPoint PPT PresentationTRANSCRIPT
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Concatenated Composite Pulses: Toward High-
Precision Quantum Gate Implementation
Mikio NakaharaDepartment of Physics, Kinki University, Japan
Collaborators; M. Bando, U. Gungordu, T. Ichikawa and Y. KondoPhys. Rev. A 84 (2011) 062311.
J. Phys. Soc. Jpn, 82 (2013) 014004. Phys. Rev. A 87 (2013) 022323.
Financial supports from Kinki Univ., MEXT and JPSJ
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1. Motivations
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NMR QIP in Rio 2013
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2. Hamiltonian with Errors
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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.
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NMR QIP in Rio 2013
Time-Development Operator with Errors
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3. Composite Pulses
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Idea of Composite Pulses
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Time-Development Operator with Errors
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NMR signal in the presence of errors
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N=2 cases
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NMR QIP in Rio 2013
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).
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Examples
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4. ConCatenated Composite Pulses (CCCP)
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Shor’s 9-qubit QECC
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Successful Example (CinSK)
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Residual Error Preserving Property
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Example
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5. Reduced CCCP
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Example 1; reduced CinSK
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Example 2; reduced CinBB
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Fidelity Profiles
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NMR results
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6. Robust 2-qubit Gates
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6. Summary
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NMR QIP in Rio 2013