Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
Abstract
High-fidelity quantum gates are essential for large-scale quantum computation. However, any quantum manipulation will inevitably affected by noises, systematic errors and decoherence effects, which lead to infidelity of a target quantum task. Therefore, implementing high-fidelity, robust and fast quantum gates is highly desired. Here, we propose a fast and robust scheme to construct high-fidelity holonomic quantum gates for universal quantum computation based on resonant interaction of three-level quantum systems via shortcuts to adiabaticity. In our proposal, the target Hamiltonian to induce noncyclic non-Abelian geometric phases can be inversely engineered with less evolution time and demanding experimentally, leading to high-fidelity quantum gates in a simple setup. Besides, our scheme is readily realizable in physical system currently pursued for implementation of quantum computation. Therefore, our proposal represents a promising way towards fault-tolerant geometric quantum computation.
- Publication:
-
Frontiers of Physics
- Pub Date:
- October 2021
- DOI:
- 10.1007/s11467-021-1087-4
- arXiv:
- arXiv:2105.13912
- Bibcode:
- 2021FrPhy..1651502L
- Keywords:
-
- noncyclic;
- holonomic quantum gates;
- shortcuts to adiabaticity;
- Lewis-Riesenfeld invariant;
- Quantum Physics
- E-Print:
- 7 pages, 5 figures, accepted by Frontiers of Physics