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Nonadiabatic Conditional Geometric Phase Shift with NMR

Journal Article · · Physical Review Letters
A conditional geometric phase shift gate, which is fault tolerant to certain types of errors due to its geometric nature, was realized recently via nuclear magnetic resonance (NMR) under adiabatic conditions. However, in quantum computation, everything must be completed within the decoherence time. The adiabatic condition makes any fast conditional Berry phase (cyclic adiabatic geometric phase) shift gate impossible. Here we show that by using a newly designed sequence of simple operations with an additional vertical magnetic field, the conditional geometric phase shift gate can be run nonadiabatically. Therefore geometric quantum computation can be done at the same rate as usual quantum computation.
Sponsoring Organization:
(US)
OSTI ID:
40277493
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 87; ISSN 0031-9007
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English

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