Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms
arXiv:2005.06949 · doi:10.1103/PhysRevResearch.2.043130
Abstract
Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust geometric gate. However, the conventional NGQC is that all of the gates are performed with exactly the sameamount of time, whether the geometric rotation angle is large or small, due to the limitation of cyclic condition. Here, we propose an unconventional scheme, called nonadiabatic noncyclic geometric quantum computation(NNGQC), that arbitrary single- and two-qubit geometric gate can be constructed via noncyclic non-Abeliangeometric phase. Consequently, this scheme makes it possible to accelerate the implemented geometric gatesagainst the effects from the environmental decoherence. Furthermore, this extensible scheme can be applied invarious quantum platforms, such as superconducting qubit and Rydberg atoms. Specifically, for single-qubit gate,we make simulations with practical parameters in neutral atom system to show the robustness of NNGQC and also compare with NGQC using the recent experimental parameters to show that the NNGQC can significantly suppress the decoherence error. In addition, we also demonstrate that nontrivial two-qubit geometric gate can berealized via unconventional Rydberg blockade regime within current experimental technologies. Therefore, ourscheme provides a promising way for fast and robust neutral-atom-based quantum computation.
6 pages, 6 figures. Published vision
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Cited by in corpus (18)
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- Single-atom verification of the noise-resilient and fast characteristics of universal nonadiabatic noncyclic geometric quantum gates
- Path-optimized nonadiabatic geometric quantum computation on superconducting qubits
- Unselective ground-state blockade of Rydberg atoms for implementing quantum gates
- Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based Shortcuts
- Quantum Optics with Rydberg Superatoms
- Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
- Atom-Orbital Qubits under Holonomic Quantum Control
- Unidirectional acoustic metamaterials based on nonadiabatic holonomic quantum transformations
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- Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals