# Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling

@article{Chen2022SuppressingCN, title={Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling}, author={Dawn Chen and Jun Jing}, journal={Physical Review A}, year={2022} }

In the quantum computation scenario, geometric phase-gates are becoming increasingly attractive due to their supposed intrinsic fault tolerance. In an adiabatic cyclic evolution, Berry phase appears to realize a geometric transformation. Performing the quantum gates as many as possible within the timescale of coherence, however, remains an inconvenient bottleneck due to the systematic errors. Here we propose an accelerated adiabatic quantum gate based on the Berry phase, the transitionless…

## References

SHOWING 1-10 OF 51 REFERENCES

### Suppressing the geometric dephasing of Berry phase by using modified dynamical decoupling sequences

- Physics
- 2017

Even though traditional dynamical decoupling methods have the ability to resist dynamic dephasing caused by low frequency noise, they are not appropriate for suppressing the residual geometric…

### Nonadiabatic geometric quantum computation

- Physics
- 2007

A different way to realize nonadiabatic geometric quantum computation is proposed by varying parameters in the Hamiltonian for nuclear-magnetic resonance, where the dynamical and geometric phases are…

### Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit

- PhysicsNature Communications
- 2017

The geometric approach allows for one-step implementation of n-qubit controlled-phase gates, which represents a remarkable advantage compared to gate decomposition methods, where the number of required steps dramatically increases with n.

### Nonadiabatic conditional geometric phase shift with NMR.

- PhysicsPhysical review letters
- 2001

By using a newly designed sequence of simple operations with an additional vertical magnetic field, the conditional geometric phase shift gate can be run nonadiabatically and geometric quantum computation can be done at the same rate as usual quantum computation.

### Preserving qubit coherence by dynamical decoupling

- Physics
- 2010

In quantum information processing, it is vital to protect the coherence of qubits in noisy environments. Dynamical decoupling (DD), which applies a sequence of flips on qubits and averages the…

### Non-Abelian holonomic transformation in the presence of classical noise

- Physics
- 2017

It is proposed that high-speed universal quantum gates can be realized by using non-Abelian holonomic transformation. A cyclic evolution path which brings the system periodically back to a degenerate…

### Environmental noise spectroscopy with qubits subjected to dynamical decoupling

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2017

A qubit subjected to pure dephasing due to classical Gaussian noise can be turned into a spectrometer of this noise by utilizing its readout under properly chosen dynamical decoupling (DD) sequences…

### Geometric quantum computation using nuclear magnetic resonance

- PhysicsNature
- 2000

A nuclear magnetic resonance experiment is performed in which a conditional Berry phase is implemented, demonstrating a controlled phase shift gate, and suggests the possibility of an intrinsically fault-tolerant way of performing quantum gate operations.

### Robust nonadiabatic geometric quantum computation by dynamical correction

- PhysicsPhysical Review A
- 2022

Besides the intrinsic noise resilience property, nonadiabatic geometric phases are of the fast evolution nature, and thus can naturally be used in constructing quantum gates with excellent…

### 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,…