Multispin Clifford codes for angular momentum errors in spin systems

• URL: http://arxiv.org/abs/2304.08611v2
• Date: Tue, 2 May 2023 21:00:39 GMT
• Title: Multispin Clifford codes for angular momentum errors in spin systems
• Authors: Sivaprasad Omanakuttan and Jonathan A. Gross
• Abstract summary: We encode a qubit in a collection of systems with angular-momentum symmetry (spins) We develop new codes with octahedral symmetry capable of correcting errors up to second order in angular-momentum operators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The physical symmetries of a system play a central role in quantum error correction. In this work we encode a qubit in a collection of systems with angular-momentum symmetry (spins), extending the tools developed in Phys. Rev. Lett. 127, 010504 for single large spins. By considering large spins present in atomic systems and focusing on their collective symmetric subspace, we develop new codes with octahedral symmetry capable of correcting errors up to second order in angular-momentum operators. These errors include the most physically relevant noise sources such as microwave control errors and optical pumping. We additionally explore new qubit codes that exhibit distance scaling commensurate with the surface code while permitting transversal single-qubit Clifford operations.

Related papers

• Explicit error-correction scheme and code distance for bosonic codes with rotational symmetry [0.0]
  We show that codes with rotation symmetry have a distance of $(d_n, d_theta)=(N, pi/N)$ with respect to number and rotation errors. We also prove that codes with an $N$-fold rotation symmetry have a distance of $(d_n, d_theta)=(N, pi/N)$ with respect to number and rotation errors.
  arXiv  Detail & Related papers  (2023-11-22T19:48:34Z)
• Qubits on programmable geometries with a trapped-ion quantum processor [2.0295982805787776]
  We develop a class of high-dimensional Ising interactions using a linear one-dimensional (1D) ion chain with up to 8 qubits through stroboscopic sequences of commuting Hamiltonians. We extend this method to non-commuting circuits and demonstrate the quantum XY and Heisenberg models using Floquet periodic drives with tunable symmetries.
  arXiv  Detail & Related papers  (2023-08-20T07:01:57Z)
• Error channels in quantum nondemolition measurements on spin systems [0.0]
  Quantum nondemolition (QND) measurements are a precious resource for quantum information processing. Repetitive QND measurements can boost the fidelity of qubit preparation and measurement, even when the underlying single-shot measurements are of low fidelity. We develop a theoretical framework to understand and quantify the resulting error arising from deviation from perfect QND measurement in model spin qubit systems.
  arXiv  Detail & Related papers  (2023-07-26T11:01:57Z)
• Fault-Tolerant Computing with Single Qudit Encoding [49.89725935672549]
  We discuss stabilizer quantum-error correction codes implemented in a single multi-level qudit. These codes can be customized to the specific physical errors on the qudit, effectively suppressing them. We demonstrate a Fault-Tolerant implementation on molecular spin qudits, showcasing nearly exponential error suppression with only linear qudit size growth.
  arXiv  Detail & Related papers  (2023-07-20T10:51:23Z)
• Towards Neural Variational Monte Carlo That Scales Linearly with System Size [67.09349921751341]
  Quantum many-body problems are central to demystifying some exotic quantum phenomena, e.g., high-temperature superconductors. The combination of neural networks (NN) for representing quantum states, and the Variational Monte Carlo (VMC) algorithm, has been shown to be a promising method for solving such problems. We propose a NN architecture called Vector-Quantized Neural Quantum States (VQ-NQS) that utilizes vector-quantization techniques to leverage redundancies in the local-energy calculations of the VMC algorithm.
  arXiv  Detail & Related papers  (2022-12-21T19:00:04Z)
• Gate-based spin readout of hole quantum dots with site-dependent $g-$factors [101.23523361398418]
  We experimentally investigate a hole double quantum dot in silicon by carrying out spin readout with gate-based reflectometry. We show that characteristic features in the reflected phase signal arising from magneto-spectroscopy convey information on site-dependent $g-$factors in the two dots.
  arXiv  Detail & Related papers  (2022-06-27T09:07:20Z)
• Surface Code Design for Asymmetric Error Channels [55.41644538483948]
  We introduce a surface code design based on the fact that bit flip and phase flip errors in quantum systems are asymmetric. We show that, compared to symmetric surface codes, our asymmetric surface codes can provide almost double the pseudo-threshold rates. As the asymmetry of the surface code increases, the advantage in the pseudo-threshold rates begins to saturate for any degree of asymmetry in the channel.
  arXiv  Detail & Related papers  (2021-11-02T10:41:02Z)
• Performance of teleportation-based error correction circuits for bosonic codes with noisy measurements [58.720142291102135]
  We analyze the error-correction capabilities of rotation-symmetric codes using a teleportation-based error-correction circuit. We find that with the currently achievable measurement efficiencies in microwave optics, bosonic rotation codes undergo a substantial decrease in their break-even potential.
  arXiv  Detail & Related papers  (2021-08-02T16:12:13Z)
• Hardware-efficient error-correcting codes for large nuclear spins [62.997667081978825]
  We present a hardware-efficient quantum protocol that corrects phase flips of a nuclear spin using explicit experimentally feasible operations. Results provide a realizable blueprint for a corrected spin-based qubit.
  arXiv  Detail & Related papers  (2021-03-15T17:14:48Z)
• Quantum Error Mitigation using Symmetry Expansion [0.0]
  Noise remains the biggest challenge for the practical applications of any near-term quantum devices. We develop a general framework named symmetry expansion which provides a wide spectrum of symmetry-based error mitigation schemes. We show that certain symmetry expansion schemes can achieve a smaller estimation bias than symmetry verification.
  arXiv  Detail & Related papers  (2021-01-08T18:30:48Z)

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.