Dynamically Optimized Super-Robust Nonadiabatic Holonomic Quantum Gates Based on Superconducting Circuits

• URL: http://arxiv.org/abs/2409.15665v2
• Date: Tue, 16 Sep 2025 03:17:42 GMT
• Title: Dynamically Optimized Super-Robust Nonadiabatic Holonomic Quantum Gates Based on Superconducting Circuits
• Authors: Hai Xu, Wanchun Li, Tao Chen, Kejin Wei, Chengxian Zhang,
• Abstract summary: We propose a dynamically optimized NHQC scheme to construct universal super-robust holonomic quantum gates.<n>Our work offers a promising pathway toward the realization of scalable and fault-tolerant holonomic quantum computation.
• Score: 5.737834047723585
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Nonadiabatic holonomic quantum computation (NHQC) leverages non-Abelian geometric phases within a nonadiabatic framework to achieve fast and robust quantum gate operations. However, the practical implementation of NHQC is challenged by the imperfect control inherent in experimental environments. Ensuring deep suppression of control error is critical. In this work, we propose a dynamically optimized NHQC scheme to construct universal super-robust holonomic quantum gates. The proposed scheme is implemented by strategically designing a set of dynamically correcting pulses to achieve cyclic evolution, while ensuring that unwanted and disruptive dynamical phase elements, including previously neglected cross-coupling terms, are not accumulated. This constructed super-robust NHQC scheme efficiently safeguards the cyclic evolution process and makes the holonomic gate immune to control error by effectively correcting the error up to the fourth order. Furthermore, when integrated with decoherence-free subspace (DFS) encoding in superconducting quantum circuits, our scheme can achieve high-fidelity holonomic gates, and demonstrate robust resilience against both control errors and collective dephasing errors. Consequently, our work offers a promising pathway toward the realization of scalable and fault-tolerant holonomic quantum computation.

Related papers

• Continual Quantum Architecture Search with Tensor-Train Encoding: Theory and Applications to Signal Processing [68.35481158940401]
  CL-QAS is a continual quantum architecture search framework.<n>It mitigates challenges of costly encoding amplitude and forgetting in variational quantum circuits.<n>It achieves controllable robustness expressivity, sample-efficient generalization, and smooth convergence without barren plateaus.
  arXiv  Detail & Related papers  (2026-01-10T02:36:03Z)
• Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA [39.27725073249277]
  We analyze the implementation of single-qubit gates in a two-level system driven by a microwave field.<n>We show how the dynamical phase can be canceled to obtain purely geometric operations.<n>We extend the protocol to construct non two-qubit gates, highlighting its feasibility for scalable quantum information processing.
  arXiv  Detail & Related papers  (2025-09-10T16:14:34Z)
• Towards fault-tolerant quantum computation with universal continuous-variable gates [41.94295877935867]
  Continuous-variable (CV) systems have shown remarkable potential for quantum computation.<n>The foundational notion of computational universality was introduced in [Phys. Rev. Lett. 82, 1784 (1999).<n>However, achieving the critical objective of fault-tolerant computation requires some form of encoding.<n>We present compelling evidence by utilizing the Gottesman-Kitaev-Preskill (GKP) encoding.
  arXiv  Detail & Related papers  (2025-06-16T16:07:39Z)
• Speeding up adiabatic holonomic quantum gates via $π$-pulse modulation [1.7675483336334565]
  We propose a scheme for fast holonomic quantum gates based on the $pi$-pulse method.<n>We realize a universal set of holonomic gates beyond the conventional adiabatic limit.
  arXiv  Detail & Related papers  (2025-06-11T01:59:14Z)
• Floquet-engineered fast SNAP gates in weakly coupled circuit-QED systems [35.47678727832216]
  We propose a protocol to achieve high-fidelity SNAP gates that are orders of magnitude faster than the standard implementation.<n>We also present a unified theory that explains both the gate acceleration and the associated benign drive-induced decoherence.<n>These results pave the way for the experimental realization of high-fidelity, selective control of weakly coupled, high-coherence cavities.
  arXiv  Detail & Related papers  (2025-06-03T16:18:43Z)
• Super-Robust Nonadiabatic Holonomic Quantum Computation in coherence-protected Superconducting Circuits [0.35998666903987897]
  Super-Robust NHQC scheme within the Decoherence-Free Subspace (DFS) Our approach enables universal gate operations on a scalable two-dimensional square lattice of superconducting qubits.
  arXiv  Detail & Related papers  (2024-10-10T15:45:57Z)
• GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls [77.34726150561087]
  The GRadient Ascent Pulse Engineering (GRAPE) method is widely used for optimization in quantum control. We adopt GRAPE method for optimizing objective functionals for open quantum systems driven by both coherent and incoherent controls. The efficiency of the algorithm is demonstrated through numerical simulations for the state-to-state transition problem.
  arXiv  Detail & Related papers  (2023-07-17T13:37:18Z)
• 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)
• A self-consistent field approach for the variational quantum eigensolver: orbital optimization goes adaptive [52.77024349608834]
  We present a self consistent field approach (SCF) within the Adaptive Derivative-Assembled Problem-Assembled Ansatz Variational Eigensolver (ADAPTVQE) This framework is used for efficient quantum simulations of chemical systems on nearterm quantum computers.
  arXiv  Detail & Related papers  (2022-12-21T23:15:17Z)
• Robust nonadiabatic geometric quantum computation by dynamical correction [0.0]
  We propose a robust scheme for nonadiabatic geometric quantum computation (NGQC) combining with the dynamical correction technique. We numerically show that our scheme can greatly improve the gate robustness in previous protocols. Our scheme provides a promising alternation for the future scalable fault-tolerant quantum computation.
  arXiv  Detail & Related papers  (2022-08-02T14:09:48Z)
• Nonadiabatic Holonomic Quantum Computation via Path Optimization [3.0726135239588164]
  We present a path-optimized NHQC scheme based on the non-Abelian geometric phase. We show that a geometric gate can be constructed by different evolution paths, which have different responses to systematic noises. In addition, we propose to implement our strategy on superconducting quantum circuits with decoherence-free subspace encoding.
  arXiv  Detail & Related papers  (2022-05-19T02:39:42Z)
• On optimization of coherent and incoherent controls for two-level quantum systems [77.34726150561087]
  This article considers some control problems for closed and open two-level quantum systems. The closed system's dynamics is governed by the Schr"odinger equation with coherent control. The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
  arXiv  Detail & Related papers  (2022-05-05T09:08:03Z)
• Composite Short-path Nonadiabatic Holonomic Quantum Gates [6.798901075222994]
  We present to implement NHQC with the shortest path under some conditions, through the inverse Hamiltonian engineering technique. Our scheme represents a promising progress towards future fault-tolerant quantum computation in atomic systems.
  arXiv  Detail & Related papers  (2021-11-11T14:13:12Z)
• 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)
• Superrobust Geometric Control of a Superconducting Circuit [13.19665385931542]
  We show that nonadiabatic geometric gates are not necessarily more robust than dynamical ones. We implement a different set of constraints for gate construction in order to suppress such cross coupling to achieve an enhanced robustness.
  arXiv  Detail & Related papers  (2021-06-07T10:01:12Z)
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion [41.36300605844117]
  We show nonadiabatic holonomic single-qubit quantum gates on two dark paths in a trapped $171mathrmYb+$ ion based on four-level systems with resonant drives. We find that nontrivial holonomic two-qubit quantum gates can also be realized within current experimental technologies.
  arXiv  Detail & Related papers  (2021-01-19T06:57:50Z)
• Dynamical-decoupling-protected nonadiabatic holonomic quantum computation [0.0]
  Nonadiabatic holonomic quantum computation allows for high-speed implementation of whole-geometric quantum gates. Our protocol not only possesses the intrinsic robustness against control errors but also protects quantum gates against environment-induced decoherence.
  arXiv  Detail & Related papers  (2021-01-14T07:58:15Z)
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates [2.436681150766912]
  The noise-resilience feature of nonadiabatic holonomic quantum computation (NHQC) still needs to be improved. We propose a general protocol of universal NHQC with simplified control, which can greatly suppress the effect of accompanied X errors. Numerical simulation shows that the performance of our gate can be much better than previous protocols.
  arXiv  Detail & Related papers  (2020-12-16T15:52:38Z)
• 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)
• Leakage Suppression for Holonomic Quantum Gates [0.0]
  The gate error can be reduced by as much as 91.7% compared with the conventional holonomic quantum computation. Our scheme provides a promising way towards fault-tolerant quantum computation in a weakly anharmonic solid-state system.
  arXiv  Detail & Related papers  (2020-04-27T15:48:33Z)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

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.