Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
arXiv:1812.09513 · doi:10.1002/andp.201800179
Abstract
Nonadiabatic holonomic quantum computation has attracted increasing interest because of its robustness. In this paper, based on the shortcuts to adiabaticity (STA), we propose a scheme to construct a three-qubit nonadiabatic holonomic gate in a cavity quantum electrodynamics system. In the scheme, the three-qubit holonomic gate is implemented in a single step. Besides, numerical simulations show that the constructed holonomic quantum gate holds the characteristics of high-fidelity, decoherence-resistance and error-immunity.
13 pages, 8 figures
References in corpus (21)
- Shortcut to adiabatic passage in two and three level atoms
- Distributed quantum computation via optical fibres
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Multiatom and resonant interaction scheme for quantum state transfer and logical gates between two remote cavities via an optical fiber
- Adiabatic tracking of quantum many-body dynamics
- Robustness of non-adiabatic holonomic gates
- Robust optimal quantum gates for Josephson charge qubits
- Fast preparation of W states with superconducting quantum interference devices by using dressed states
- Non-Hermitian shortcut to stimulated Raman adiabatic passage
- Fault-tolerant holonomic quantum computation
- Composite nonadiabatic holonomic quantum computation
- Fast quantum state engineering via universal SU(2) transformation
- Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers
- Optimal shortcut approach based on an easily obtained intermediate Hamiltonian
- Non-Abelian holonomic transformation in the presence of classical noise
- Robust paths to realize nonadiabatic holonomic gates
- Robust state preparation in quantum simulations of Dirac dynamics
- Robustness against parametric noise of non ideal holonomic gates
- Shortcut to adiabaticity in spinor condensates
- Robustness of geometric phase under parametric noise