Superrobust Geometric Control of a Superconducting Circuit

• URL: http://arxiv.org/abs/2106.03474v2
• Date: Fri, 10 Dec 2021 04:58:16 GMT
• Title: Superrobust Geometric Control of a Superconducting Circuit
• Authors: Sai Li, Bao-Jie Liu, Zhongchu Ni, Libo Zhang, Zheng-Yuan Xue, Jian Li, Fei Yan, Yuanzhen Chen, Song Liu, Man-Hong Yung, Yuan Xu, Dapeng Yu
• Abstract summary: 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.
• Score: 13.19665385931542
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Geometric phases accompanying adiabatic quantum evolutions can be used to construct robust quantum control for quantum information processing due to their noise-resilient feature. A significant development along this line is to construct geometric gates using nonadiabatic quantum evolutions to reduce errors due to decoherence. However, it has been shown that nonadiabatic geometric gates are not necessarily more robust than dynamical ones, in contrast to an intuitive expectation. Here we experimentally investigate this issue for the case of nonadiabatic holonomic quantum computation~(NHQC) and show that conventional NHQC schemes cannot guarantee the expected robustness due to a cross coupling to the states outside the computational space. We implement a different set of constraints for gate construction in order to suppress such cross coupling to achieve an enhanced robustness. Using a superconducting quantum circuit, we demonstrate high-fidelity holonomic gates whose infidelity against quasi-static transverse errors can be suppressed up to the fourth order, instead of the second order in conventional NHQC and dynamical gates. In addition, we explicitly measure the accumulated dynamical phase due to the above mentioned cross coupling and verify that it is indeed much reduced in our NHQC scheme. We further demonstrate a protocol for constructing two-qubit NHQC gates also with an enhanced robustness.

Related papers

• 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)
• 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)
• 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)
• Analytical and experimental study of center line miscalibrations in M\o lmer-S\o rensen gates [51.93099889384597]
  We study a systematic perturbative expansion in miscalibrated parameters of the Molmer-Sorensen entangling gate. We compute the gate evolution operator which allows us to obtain relevant key properties. We verify the predictions from our model by benchmarking them against measurements in a trapped-ion quantum processor.
  arXiv  Detail & Related papers  (2021-12-10T10:56:16Z)
• 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)
• Ultrafast Holonomic Quantum Gates [4.354697470999286]
  We propose a nonadiabatic holonomic quantum scheme with detuned interactions on $Delta$-type three-level system. Our numerical simulations show that the gate robustness is also stronger than previous schemes. We present an implementation of our proposal on superconducting quantum circuits, with a decoherence-free subspace encoding.
  arXiv  Detail & Related papers  (2021-08-03T14:31:38Z)
• Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based Shortcuts [4.354697470999286]
  We propose a scheme to realize geometric quantum gates with noncyclic and nonadiabatic evolution via invariant-based shortcuts. Our scheme provides a promising way to realize high-fidelity fault-tolerant quantum gates for scalable quantum computation.
  arXiv  Detail & Related papers  (2021-02-01T15:05:29Z)
• Super-robust nonadiabatic geometric quantum control [0.0]
  Nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic quantum computation (NHQC) have been proposed to reduce the run time of geometric quantum gates. We show that NGQC and NHQC scenarios have no advantage over standard dynamical gates in most cases. We propose a scheme of super-robust nonadiabatic geometric quantum control, in which the super-robust condition can guarantee both high speed and robustness.
  arXiv  Detail & Related papers  (2020-08-05T14:50:56Z)
• Using Quantum Metrological Bounds in Quantum Error Correction: A Simple Proof of the Approximate Eastin-Knill Theorem [77.34726150561087]
  We present a proof of the approximate Eastin-Knill theorem, which connects the quality of a quantum error-correcting code with its ability to achieve a universal set of logical gates. Our derivation employs powerful bounds on the quantum Fisher information in generic quantum metrological protocols.
  arXiv  Detail & Related papers  (2020-04-24T17:58:10Z)
• 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.