High-fidelity geometric gate for silicon-based spin qubits

• URL: http://arxiv.org/abs/2001.04855v1
• Date: Tue, 14 Jan 2020 15:31:59 GMT
• Title: High-fidelity geometric gate for silicon-based spin qubits
• Authors: Chengxian Zhang, Tao Chen, Sai Li, Xin Wang, Zheng-Yuan Xue
• Abstract summary: We present a protocol to realize universal nonadiabatic geometric gates for silicon-based spin qubits. We find that the advantage of geometric gates over dynamical gates depends crucially on the evolution loop for the construction of the geometric phase.
• Score: 10.725358962826192
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: High-fidelity manipulation is the key for the physical realization of fault-tolerant quantum computation. Here, we present a protocol to realize universal nonadiabatic geometric gates for silicon-based spin qubits. We find that the advantage of geometric gates over dynamical gates depends crucially on the evolution loop for the construction of the geometric phase. Under appropriate evolution loops, both the geometric single-qubit gates and the CNOT gate can outperform their dynamical counterparts for both systematic and detuning noises. We also perform randomized benchmarking using noise amplitudes consistent with experiments in silicon. For the static noise model, the averaged fidelities of geometric gates are around 99.90\% or above, while for the time-dependent $1/f$-type noise, the fidelities are around 99.98\% when only the detuning noise is present. We also show that the improvement in fidelities of the geometric gates over dynamical ones typically increases with the exponent $\alpha$ of the $1/f$ noise, and the ratio can be as high as 4 when $\alpha\approx 3$. Our results suggest that geometric gates with judiciously chosen evolution loops can be a powerful way to realize high-fidelity quantum gates.

Related papers

• Geometric two-qubit gates in silicon-based double quantum dots [0.0]
  We propose strategy to implement geometric two-qubit gates for silicon-based spin qubits. It is found that the implemented geometric gates can obtain fidelities surpassing 99% for the noise level related to the experiments.
  arXiv  Detail & Related papers  (2024-09-01T03:39:22Z)
• 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)
• Simulation of IBM's kicked Ising experiment with Projected Entangled Pair Operator [71.10376783074766]
  We perform classical simulations of the 127-qubit kicked Ising model, which was recently emulated using a quantum circuit with error mitigation. Our approach is based on the projected entangled pair operator (PEPO) in the Heisenberg picture. We develop a Clifford expansion theory to compute exact expectation values and use them to evaluate algorithms.
  arXiv  Detail & Related papers  (2023-08-06T10:24:23Z)
• Cat-qubit-inspired gate on cos($2\theta$) qubits [77.34726150561087]
  We introduce a single-qubit $Z$ gate inspired by the noise-bias preserving gate of the Kerr-cat qubit. This scheme relies on a $pi$ rotation in phase space via a beamsplitter-like transformation between a qubit and ancilla qubit.
  arXiv  Detail & Related papers  (2023-04-04T23:06:22Z)
• 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)
• Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit [4.107057180879791]
  In silicon-based spin qubits, the off-resonance error is the dominant noise, which can cause dephasing. We find that by picking up a specific evolution path inserted by only a $pi$-pulse dynamically corrected sequence, the optimized geometric gate is robust to the off-resonance error.
  arXiv  Detail & Related papers  (2022-07-11T03:06:56Z)
• Designing globally optimal entangling gates using geometric space curves [0.0]
  We show that in the case of weakly coupled qubits, it is possible to find all pulses that implement a target entangling gate. We illustrate our method by designing fast, CNOT-equivalent entangling gates for silicon quantum dot spin qubits with fidelities exceeding 99%.
  arXiv  Detail & Related papers  (2022-04-06T14:46:56Z)
• Path-optimized nonadiabatic geometric quantum computation on superconducting qubits [3.98625523260655]
  We propose a path-optimized scheme for geometric quantum computation on superconducting transmon qubits. We find that the constructed geometric gates can be superior to their corresponding dynamical ones under different local errors. Our scheme provides a new perspective for geometric quantum computation, making it more promising in the application of large-scale fault-tolerant quantum computation.
  arXiv  Detail & Related papers  (2021-10-12T15:26:26Z)
• 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)
• Debiased Sinkhorn barycenters [110.79706180350507]
  Entropy regularization in optimal transport (OT) has been the driver of many recent interests for Wasserstein metrics and barycenters in machine learning. We show how this bias is tightly linked to the reference measure that defines the entropy regularizer. We propose debiased Wasserstein barycenters that preserve the best of both worlds: fast Sinkhorn-like iterations without entropy smoothing.
  arXiv  Detail & Related papers  (2020-06-03T23:06:02Z)
• 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.