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- Title
State‐Independent Geometric Quantum Gates via Nonadiabatic and Noncyclic Evolution.
- Authors
Chen, Yue; Ji, Li‐Na; Xue, Zheng‐Yuan; Liang, Yan
- Abstract
Geometric phases are robust to local noises and the nonadiabatic ones can reduce the evolution time, thus nonadiabatic geometric gates have strong robustness and can approach high fidelity. However, the advantage of geometric phase has not been fully explored in previous investigations. Here,a scheme is proposed for universal quantum gates with pure nonadiabatic and noncyclic geometric phases from smooth evolution paths. In the scheme, only geometric phase can be accumulated in a fast way, and thus it not only fully utilizes the local noise resistant property of geometric phase but also reduces the difficulty in experimental realization. Numerical results show that the implemented geometric gates have stronger robustness than dynamical gates and the geometric scheme with cyclic path. Furthermore, it proposes to construct universal quantum gate on superconducting circuits, with the fidelities of single‐qubit gate and nontrivial two‐qubit gate can achieve 99.97% and 99.87%, respectively. Therefore, these high‐fidelity quantum gates are promising for large‐scale fault‐tolerant quantum computation.
- Subjects
QUANTUM gates; GEOMETRIC quantum phases; QUANTUM computing; SUPERCONDUCTING circuits; QUBITS; QUANTUM computers; SUPERCONDUCTING quantum interference devices
- Publication
Annalen der Physik, 2023, Vol 535, Issue 12, p1
- ISSN
0003-3804
- Publication type
Article
- DOI
10.1002/andp.202300350