Journal
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
Volume 60, Issue 8, Pages -Publisher
SCIENCE PRESS
DOI: 10.1007/s11433-017-9058-7
Keywords
nonadiabatic holonomic quantum computation; nuclear magnetic resonance; quantum process tomography
Categories
Funding
- National Natural Science Foundation of China [91221205, 11474181]
- National Basic Research Program of China [2015CB921002]
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Nonadiabatic holonomic quantum computation has received increasing attention due to its robustness against control errors. However, all the previous schemes have to use at least two sequentially implemented gates to realize a general one-qubit gate. Based on two recent reports, we construct two Hamiltonians and experimentally realized nonadiabatic holonomic gates by a single-shot implementation in a two-qubit nuclear magnetic resonance (NMR) system. Two noncommuting one-qubit holonomic gates, rotating along (x) over cap and (z) over cap axes respectively, are implemented by evolving a work qubit and an ancillary qubit nonadiabatically following a quantum circuit designed. Using a sequence compiler developed for NMR quantum information processor, we optimize the whole pulse sequence, minimizing the total error of the implementation. Finally, all the nonadiabatic holonomic gates reach high unattenuated experimental fidelities over 98%.
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