Enhancing Quantum Circuit Noise Robustness from a Geometric Perspective

• URL: http://arxiv.org/abs/2305.06795v3
• Date: Wed, 10 Jul 2024 09:06:17 GMT
• Title: Enhancing Quantum Circuit Noise Robustness from a Geometric Perspective
• Authors: Junkai Zeng, Yong-Ju Hai, Hao Liang, Xiu-Hao Deng,
• Abstract summary: Quantum errors in noisy environments remain a major obstacle to advancing quantum information technology. We show how circuit noise robustness can be enhanced using twirling techniques. This research illuminates pathways to achieving noise-resistant quantum control beyond mere optimization of control pulses.
• Score: 2.1789818083464203
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum errors in noisy environments remain a major obstacle to advancing quantum information technology. In this work, we expand a recently developed geometric framework, originally utilized for analyzing noise accumulation and creating dynamical error-correcting gates at the control pulse level, to now study noise dynamics at the quantum circuit level. Through a geometric perspective, we demonstrate how circuit noise robustness can be enhanced using twirling techniques. Additionally, we show that circuits modified by random twirling correspond to random walk trajectories in this geometric framework, and provide a fresh perspective on randomized compiling by analytically deriving the perturbative expression for the resultant Pauli noise channel. We also illustrate that combining robustness optimization strategies at both the control pulse and circuit levels can significantly boost overall circuit fidelity even further through numerical examples. This research illuminates pathways to achieving noise-resistant quantum control beyond mere optimization of control pulses.

Related papers

• Stochastic action for the entanglement of a noisy monitored two-qubit system [55.2480439325792]
  We study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and inter-qubit coupling. We construct a Hamiltonian by incorporating the noise into the Chantasri-Dressel-Jordan path integral and use it to identify the optimal entanglement dynamics. Numerical investigation of long-time steady-state entanglement reveals a non-monotonic relationship between concurrence and noise strength.
  arXiv  Detail & Related papers  (2024-03-13T11:14:10Z)
• Multiple Classical Noise Mitigation by Multiobjective Robust Quantum Optimal Control [7.426725800799006]
  We show that robust optimal control can find smooth, robust pulses that can simultaneously resist several noises. This method will find wide applications on current noisy quantum computing devices.
  arXiv  Detail & Related papers  (2024-03-01T05:52:23Z)
• Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips [11.364693110852738]
  We report the experimental realization of robust quantum gates in superconducting quantum circuits. Our work provides a versatile toolbox for achieving noise-resilient complex quantum circuits.
  arXiv  Detail & Related papers  (2024-01-03T16:12:35Z)
• Layering and subpool exploration for adaptive Variational Quantum Eigensolvers: Reducing circuit depth, runtime, and susceptibility to noise [0.0]
  Adaptive variational quantum eigensolvers (ADAPT-VQEs) are promising candidates for simulations of strongly correlated systems. Recent efforts have been directed towards compactifying, or layering, their ansatz circuits. We show that layering leads to an improved noise resilience with respect to amplitude-damping and dephasing noise.
  arXiv  Detail & Related papers  (2023-08-22T18:00:02Z)
• Autonomous coherence protection of a two-level system in a fluctuating environment [68.8204255655161]
  We re-examine a scheme originally intended to remove the effects of static Doppler broadening from an ensemble of non-interacting two-level systems (qubits) We demonstrate that this scheme is far more powerful and can also protect a single (or even an ensemble) qubit's energy levels from noise which depends on both time and space.
  arXiv  Detail & Related papers  (2023-02-08T01:44:30Z)
• Quantum Control for Time-dependent Noise by Inverse Geometric Optimization [10.292957036462829]
  We extend and apply the recently proposed robust control technique of inverse geometric optimization to time-dependent noises. We show that the proposed method can produce high-quality robust pulses for realizing desired quantum evolutions under realistic noise models.
  arXiv  Detail & Related papers  (2022-05-05T08:50:02Z)
• Quantum circuit debugging and sensitivity analysis via local inversions [62.997667081978825]
  We present a technique that pinpoints the sections of a quantum circuit that affect the circuit output the most. We demonstrate the practicality and efficacy of the proposed technique by applying it to example algorithmic circuits implemented on IBM quantum machines.
  arXiv  Detail & Related papers  (2022-04-12T19:39:31Z)
• Learning Noise via Dynamical Decoupling of Entangled Qubits [49.38020717064383]
  Noise in entangled quantum systems is difficult to characterize due to many-body effects involving multiple degrees of freedom. We develop and apply multi-qubit dynamical decoupling sequences that characterize noise that occurs during two-qubit gates.
  arXiv  Detail & Related papers  (2022-01-26T20:22:38Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• Pulse-level noisy quantum circuits with QuTiP [53.356579534933765]
  We introduce new tools in qutip-qip, QuTiP's quantum information processing package. These tools simulate quantum circuits at the pulse level, leveraging QuTiP's quantum dynamics solvers and control optimization features. We show how quantum circuits can be compiled on simulated processors, with control pulses acting on a target Hamiltonian.
  arXiv  Detail & Related papers  (2021-05-20T17:06:52Z)
• Robust quantum gates using smooth pulses and physics-informed neural networks [0.0]
  We present the first general method for obtaining truly smooth pulses that minimizes sensitivity to noise. We parametrize the Hamiltonian using a neural network, which allows the use of a large number of optimization parameters. We demonstrate the capability of our approach by finding smooth shapes which suppress the effects of noise within the logical subspace as well as leakage out of that subspace.
  arXiv  Detail & Related papers  (2020-11-04T19:31:36Z)

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.