Coherence-protected nonadiabatic geometric quantum computation
- URL: http://arxiv.org/abs/2205.02693v1
- Date: Thu, 5 May 2022 14:58:26 GMT
- Title: Coherence-protected nonadiabatic geometric quantum computation
- Authors: Kangze Li, Guofu Xu, Dianmin Tong
- Abstract summary: We show that based on the system Hamiltonian that realizes a nonadiabatic geometric gate, one may construct a new system Hamiltonian.
A coherence-protected nonadiabatic geometric gate is realized with the new system Hamiltonian.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Because of using geometric phases, nonadiabatic geometric gates have the
robustness against control errors. On the other hand, decoherence still affects
nonadiabatic geometric gates, which is a key factor in reducing their
fidelities. In this paper, we show that based on the system Hamiltonian that
realizes a nonadiabatic geometric gate, one may construct a new system
Hamiltonian, by using which not only the geometric feature of the nonadiabatic
geometric gate is preserved, but also the system's coherence is protected. As a
result, a coherence-protected nonadiabatic geometric gate is realized with the
new system Hamiltonian and this gate has the robustness against both control
errors and decoherence. We further implement our scheme with nitrogen-vacancy
centers and show that a universal set of coherence-protected nonadiabatic
geometric gates can be realized. Our scheme does not need auxiliary systems or
the encoding of logical qubits with physical qubits, which saves resources for
the implementation. Due to the robustness against both control errors and
decoherence, our scheme provides a promising way to realize high-fidelity
quantum gates.
Related papers
- New-type geometric gates in atomic arrays without Rydberg blockade [1.0036312061637767]
We propose a new scheme to realize the controlled-phase gate without Rydberg blockade.
The proposed gate is actually a new-type geometric gate that consolidates the non-adiabatic holonomic control and the unconventional geometric control simultaneously.
arXiv Detail & Related papers (2024-12-26T12:24:36Z) - One-step implementation of nonadiabatic geometric fSim gate in superconducting circuits [0.18325544108743214]
We propose a one-step implementation of the nonadiabatic geometric fSim gate composed of a nonadiabatic holonomic controlled phase (CP) gate and a nonadiabatic noncyclic geometric iSWAP gate.
Compared to the composite nonadiabatic geometric fSim gate composed of a nonadiabatic holonomic CP gate and a nonadiabatic geometric iSWAP gate, our scheme only takes half the time and demonstrates to parameter fluctuations, as well as to environmental impacts.
arXiv Detail & Related papers (2024-01-04T12:38:23Z) - Quantum control landscape for generation of $H$ and $T$ gates in an open
qubit with both coherent and environmental drive [57.70351255180495]
An important problem in quantum computation is generation of single-qubit quantum gates such as Hadamard ($H$) and $pi/8$ ($T$)
Here we consider the problem of optimal generation of $H$ and $T$ gates using coherent control and the environment as a resource acting on the qubit via incoherent control.
arXiv Detail & Related papers (2023-09-05T09:05:27Z) - State-independent geometric quantum gates via nonadiabatic and noncyclic
evolution [10.356589142632922]
We propose a scheme for universal quantum gates with pure nonadiabatic and noncyclic geometric phases from smooth evolution paths.
We show that the implemented geometric gates have stronger robustness than dynamical gates and the geometric scheme with cyclic path.
These high-trivial quantum gates are promising for large-scale fault-tolerant quantum computation.
arXiv Detail & Related papers (2023-09-04T02:55:58Z) - Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent
and Incoherent Photons Found with Gradient Search [77.34726150561087]
We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control.
We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
arXiv Detail & Related papers (2023-02-28T07:36:02Z) - Dynamical-Corrected Nonadiabatic Geometric Quantum Computation [9.941657239723108]
We present an effective geometric scheme combined with a general dynamical-corrected technique.
Our scheme represents a promising way to explore large-scale fault-tolerant quantum computation.
arXiv Detail & Related papers (2023-02-08T16:18:09Z) - Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized
rotational symmetry [85.36456486475119]
A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system.
Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
arXiv Detail & Related papers (2021-11-24T15:50:22Z) - Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
We propose a decoherent mechanism for sensing quantum chaos.
The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
arXiv Detail & Related papers (2021-04-13T17:24:08Z) - Nonadiabatic geometric quantum gates that are insensitive to
qubit-frequency drifts [8.750801670077806]
In the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions that induce geometric phases.
Here, we apply the path-design strategy to explain in detail why both configurations can realize universal quantum gates in a single-loop way.
Our scheme provides a promising way towards practical realization of high-fidelity and robust nonadiabatic geometric quantum gates.
arXiv Detail & Related papers (2021-03-16T12:05:45Z) - On dissipative symplectic integration with applications to
gradient-based optimization [77.34726150561087]
We propose a geometric framework in which discretizations can be realized systematically.
We show that a generalization of symplectic to nonconservative and in particular dissipative Hamiltonian systems is able to preserve rates of convergence up to a controlled error.
arXiv Detail & Related papers (2020-04-15T00:36:49Z) - Multidimensional dark space and its underlying symmetries: towards
dissipation-protected qubits [62.997667081978825]
We show that a controlled interaction with the environment may help to create a state, dubbed as em dark'', which is immune to decoherence.
To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different states act as a computational basis.
This approach offers new possibilities for storing, protecting and manipulating quantum information in open systems.
arXiv Detail & Related papers (2020-02-01T15:57:37Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.