# Approach to realizing nonadiabatic geometric gates with prescribed evolution paths

@article{Li2020ApproachTR, title={Approach to realizing nonadiabatic geometric gates with prescribed evolution paths}, author={K. Z. Li and P.Z. Zhao and D. M. Tong}, journal={arXiv: Quantum Physics}, year={2020} }

Nonadiabatic geometric phases are only dependent on the evolution path of a quantum system but independent of the evolution details, and therefore quantum computation based on nonadiabatic geometric phases is robust against control errors. To realize nonadiabatic geometric quantum computation, it is necessary to ensure that the quantum system undergoes a cyclic evolution and the dynamical phases are removed from the total phases. To satisfy these conditions, the evolution paths in previous…

## 9 Citations

Path-optimized nonadiabatic geometric quantum computation on superconducting qubits

- PhysicsQuantum Science and Technology
- 2021

Quantum computation based on nonadiabatic geometric phases has attracted a broad range of interests, due to its fast manipulation and inherent noise resistance. However, it is limited to some special…

High‐Fidelity Geometric Quantum Gates with Short Paths on Superconducting Circuits

- PhysicsAdvanced Quantum Technologies
- 2021

Geometric phases are robust against certain types of local noises, and thus provide a promising way toward high‐fidelity quantum gates. However, comparing with the dynamical ones, previous…

Global Property Condition-based Non-adiabatic Geometric Quantum Control

- Physics
- 2020

Non-adiabatic geometric quantum computation (NGQC) and non-adiabatic holonomic quantum computation (NHQC) have been proposed to reduce the run time of geometric quantum gates. However, in terms of…

Noise-Resistant Floquet Geometric Quantum Computation

- Physics
- 2020

Non-adiabatic geometric quantum computation (NGQC) provides a promising way for implementing robust quantum gate operation. However, NGQC has no obvious advantage over the dynamical scheme in dealing…

Doubly Geometric Quantum Control

- PhysicsPRX Quantum
- 2021

In holonomic quantum computation, single-qubit gates are performed using driving protocols that trace out closed loops on the Bloch sphere, making them robust to certain pulse errors. However,…

Coherence-protected nonadiabatic geometric quantum computation

- PhysicsPhysical Review Research
- 2021

The authors put forward an approach to the realization of coherence-protected nonadiabatic geometric gates which have robustness against control errors and decoherence.

Super-robust nonadiabatic geometric quantum control

- Education, PhysicsPhysical Review Research
- 2021

Bao-Jie Liu,1 Yuan-Sheng Wang,1, 2 and Man-Hong Yung1, 3, 4, 5, ∗ Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China School of Physical Sciences, University…

Error-resilient Floquet geometric quantum computation

- Education, Materials SciencePhysical Review Research
- 2021

Yuan-Sheng Wang,1, 2 Bao-Jie Liu,1 Shi-Lei Su,3 and Man-Hong Yung1, 4, 5, 6, ∗ Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China School of Physical…

## References

SHOWING 1-10 OF 88 REFERENCES

Plug-and-Play Approach to Nonadiabatic Geometric Quantum Gates.

- PhysicsPhysical review letters
- 2019

It is shown that nonadiabatic geometric gates can be constructed in an extensible way, called NHQC+, for maintaining both flexibility and robustness against certain types of noises.

Nonadiabatic Geometric Quantum Computation with Parametrically Tunable Coupling

- PhysicsPhysical Review Applied
- 2018

The nonadiabatic geometric quantum computation is promising as it is robust against certain types of local noises. However, its experimental implementation is challenging due to the need of complex…

Implementation of universal quantum gates based on nonadiabatic geometric phases.

- PhysicsPhysical review letters
- 2002

Interestingly, it is found that the nonadiabatic phase shift may be independent of the operation time under appropriate controllable conditions.

Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases

- Physics
- 2016

Nonadiabatic geometric quantum computation in decoherence-free subspaces has received increasing attention due to the merits of its high-speed implementation and robustness against both control…

Scheme for unconventional geometric quantum computation in cavity QED

- Physics
- 2007

In this paper, we present a scheme for implementing the unconventional geometric two-qubit phase gate with nonzero dynamical phase based on two-channel Raman interaction of two atoms in a cavity. We…

Nonadiabatic geometric quantum computation using a single-loop scenario (4 pages)

- Physics
- 2005

A single-loop scenario is proposed to realize nonadiabatic geometric quantum computation. Conventionally, a so-called multiloop approach is used to remove the dynamical phase accumulated in the…

Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems

- Physics
- 2002

We propose an experimentally feasible scheme to achieve quantum computation based on a pair of orthogonal cyclic states. In this scheme, quantum gates can be implemented based on the total phase…

Robustness against parametric noise of nonideal holonomic gates

- Physics
- 2007

Holonomic gates for quantum computation are commonly considered to be robust against certain kinds of parametric noise, the cause of this robustness being the geometric character of the…

Unconventional geometric quantum computation in a two-mode cavity

- Physics
- 2007

We propose a scheme for implementing unconventional geometric quantum computation by using the interaction of two atoms with a two-mode cavity field. The evolution of the system results in a…

Geometric quantum computation with NMR

- Physics
- 1999

An exciting recent development has been the discovery that the computational power of quantum computers exceeds that of Turing machines [1]. The experimental realisation of the basic constituents of…