Traversing Quantum Control Robustness Landscapes: A New Paradigm for Quantum Gate Engineering
- URL: http://arxiv.org/abs/2412.19473v2
- Date: Thu, 09 Jan 2025 17:37:53 GMT
- Title: Traversing Quantum Control Robustness Landscapes: A New Paradigm for Quantum Gate Engineering
- Authors: Huiqi Xue, Xiu-Hao Deng,
- Abstract summary: We introduce the Quantum Control Robustness Landscape (QCRL), a conceptual framework that maps control parameters to noise susceptibility.
By navigating through the level sets of the QCRL, our Robustness-Invariant Pulse Variation (RIPV) algorithm allows for the variation of control pulses while preserving robustness.
Numerical simulations demonstrate that our single- and two-qubit gates exceed the quantum error correction threshold even with substantial noise.
- Score: 0.0
- License:
- Abstract: The optimization of robust quantum control is often tailored to specific tasks and suffers from inefficiencies due to the complexity of cost functions. Our recent findings indicate a highly effective methodology for the engineering of quantum gates by initiating the process with a robust control configuration of any arbitrary gate. We first introduce the Quantum Control Robustness Landscape (QCRL), a conceptual framework that maps control parameters to noise susceptibility. This framework facilitates a systematic investigation of equally robust controls for diverse quantum operations. By navigating through the level sets of the QCRL, our Robustness-Invariant Pulse Variation (RIPV) algorithm allows for the variation of control pulses while preserving robustness. Numerical simulations demonstrate that our single- and two-qubit gates exceed the quantum error correction threshold even with substantial noise. This methodology opens up a new paradigm for quantum gate engineering capable of effectively suppressing generic noise.
Related papers
- Quantum control by the environment: Turing uncomputability, Optimization over Stiefel manifolds, Reachable sets, and Incoherent GRAPE [56.47577824219207]
In many practical situations, the controlled quantum systems are open, interacting with the environment.
In this note, we briefly review some results on control of open quantum systems using environment as a resource.
arXiv Detail & Related papers (2024-03-20T10:09:13Z) - Machine-learning-inspired quantum optimal control of nonadiabatic
geometric quantum computation via reverse engineering [3.3216171033358077]
We propose a promising average-fidelity-based machine-learning-inspired method to optimize the control parameters.
We implement a single-qubit gate by cat-state nonadiabatic geometric quantum computation via reverse engineering.
We demonstrate that the neural network possesses the ability to expand the model space.
arXiv Detail & Related papers (2023-09-28T14:36:26Z) - Robust Control of Single-Qubit Gates at the Quantum Speed Limit [0.0]
We investigate the underlying robust time-optimal control problem so as to make the best balance.
Based on the Taylor expansion of the system's unitary propagator, we formulate the design problem as the optimal control of an augmented finite-dimensional system.
Numerical simulations for single-qubit systems show that the obtained time-optimal control pulses can effectively suppress gate errors.
arXiv Detail & Related papers (2023-09-11T10:10:58Z) - Quantum process tomography of continuous-variable gates using coherent
states [49.299443295581064]
We demonstrate the use of coherent-state quantum process tomography (csQPT) for a bosonic-mode superconducting circuit.
We show results for this method by characterizing a logical quantum gate constructed using displacement and SNAP operations on an encoded qubit.
arXiv Detail & Related papers (2023-03-02T18:08:08Z) - Self-Correcting Quantum Many-Body Control using Reinforcement Learning
with Tensor Networks [0.0]
We present a novel framework for efficiently controlling quantum many-body systems based on reinforcement learning (RL)
We show that RL agents are capable of finding universal controls, of learning how to optimally steer previously unseen many-body states, and of adapting control protocols on-thefly when the quantum dynamics is subject to perturbations.
arXiv Detail & Related papers (2022-01-27T20:14:09Z) - Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected
Qubits [4.18804572788063]
We propose a scheme for quantum manipulation by combining the geometric phase approach with the dynamical correction technique.
Our scheme is implemented on the superconducting circuits, which also simplifies previous implementations.
arXiv Detail & Related papers (2021-10-06T14:39:52Z) - Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems.
By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
arXiv Detail & Related papers (2021-08-03T17:49:09Z) - Quantum control landscape for ultrafast generation of single-qubit phase
shift quantum gates [68.8204255655161]
We consider the problem of ultrafast controlled generation of single-qubit phase shift quantum gates.
Globally optimal control is a control which realizes the gate with maximal possible fidelity.
Trap is a control which is optimal only locally but not globally.
arXiv Detail & Related papers (2021-04-26T16:38:43Z) - Experimentally Realizing Efficient Quantum Control with Reinforcement
Learning [2.733342606024131]
We experimentally demonstrate an alternative approach to quantum control based on deep reinforcement learning (DRL) on a trapped $171mathrmYb+$ ion.
In particular, we find that DRL leads to fast and robust digital quantum operations with running time bounded by shortcuts to adiabaticity (STA)
Our experiments reveal a general framework of digital quantum control, leading to a promising enhancement in quantum information processing.
arXiv Detail & Related papers (2021-01-22T09:34:58Z) - Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum
Gates\\ with Optimal Control in a Trapped Ion [38.217839102257365]
We experimentally demonstrate nonadiabatic holonomic single qubit quantum gates with optimal control in a trapped Yb ion.
Compared with corresponding previous geometric gates and conventional dynamic gates, the superiority of our scheme is that it is more robust against control amplitude errors.
arXiv Detail & Related papers (2020-06-08T14:06:06Z) - Improving the Performance of Deep Quantum Optimization Algorithms with
Continuous Gate Sets [47.00474212574662]
Variational quantum algorithms are believed to be promising for solving computationally hard problems.
In this paper, we experimentally investigate the circuit-depth-dependent performance of QAOA applied to exact-cover problem instances.
Our results demonstrate that the use of continuous gate sets may be a key component in extending the impact of near-term quantum computers.
arXiv Detail & Related papers (2020-05-11T17:20:51Z)
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.