Designing quantum error correction codes for practical spin qudit

• URL: http://arxiv.org/abs/2503.12142v1
• Date: Sat, 15 Mar 2025 13:57:06 GMT
• Title: Designing quantum error correction codes for practical spin qudit
• Authors: Sumin Lim, Arzhang Ardavan,
• Abstract summary: We present a quantitative analysis of the performance of a spin-qudit-based error-correctable quantum memory.<n>We claim that electric field fluctuations should also be considered as a noise source.<n>We illustrate an encoding/decoding scheme for a multi-spin-qudit-based error correction code that can simultaneously compensate for both electric and magnetic field perturbations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The implementation of practical error correction protocols is essential for deployment of quantum information technologies. Ways of exploiting high-spin nuclei, which have multi-level quantum resources, have attracted interest in this context because they offer additional Hilbert space dimensions in a spatially compact and theoretically efficient structure. We present a quantitative analysis of the performance of a spin-qudit-based error-correctable quantum memory, with reference to the actual Hamiltonians of several potential candidate systems. First, the ideal code-word implemented on a spin-7/2 nucleus, which provides first order Pauli-$X$, $Y$ and $Z$ error correction, has intrinsic infidelity due to mixed eigenstates under realistic conditions. We confirm that expansion to a spin-9/2 system with tailored code-words can compensate this infidelity. Second, we claim that electric field fluctuations -- which are inevitable in real systems -- should also be considered as a noise source, and we illustrate an encoding/decoding scheme for a multi-spin-qudit-based error correction code that can simultaneously compensate for both electric and magnetic field perturbations. Such strategies are important as we move beyond the current noisy-intermediate quantum era, and fidelities above two or three nines becomes crucial for implementation of quantum technologies.

Related papers

• Demonstrating experimentally the encoding and dynamics of an error-correctable logical qubit on a hyperfine-coupled nuclear spin qudit [4.720777561985926]
  High-dimensional quantum systems offer more hardware-efficient protocols than qubit-based approaches.<n>We implement a logical qubit encoded on the four states of a nuclear spin hyperfine-coupled to a S=1/2 electron spin qubit.<n>Our results confirm the potential of these proposals for practical, implementable, fault tolerant quantum memories.
  arXiv  Detail & Related papers  (2024-05-31T14:19:57Z)
• Advantage of Quantum Neural Networks as Quantum Information Decoders [1.1842028647407803]
  We study the problem of decoding quantum information encoded in the groundspaces of topological stabilizer Hamiltonians. We first prove that the standard stabilizer-based error correction and decoding schemes work adequately perturbed well in such quantum codes. We then prove that Quantum Neural Network (QNN) decoders provide an almost quadratic improvement on the readout error.
  arXiv  Detail & Related papers  (2024-01-11T23:56:29Z)
• Near-Term Distributed Quantum Computation using Mean-Field Corrections and Auxiliary Qubits [77.04894470683776]
  We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production. We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-09-11T18:00:00Z)
• Fault-tolerant qubit encoding using a spin-7/2 qudit [4.678423453820858]
  We propose a quantum memory, implemented on a spin-7/2 nucleus hyperfine-coupled to an electron spin-1/2 qubit. Our encoding may be efficiently implemented in existing experimentally realised molecular electron-nuclear quantum spin systems.
  arXiv  Detail & Related papers  (2023-03-03T16:57:58Z)
• Deep Quantum Error Correction [73.54643419792453]
  Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. In this work, we efficiently train novel emphend-to-end deep quantum error decoders. The proposed method demonstrates the power of neural decoders for QECC by achieving state-of-the-art accuracy.
  arXiv  Detail & Related papers  (2023-01-27T08:16:26Z)
• Noisy Quantum Kernel Machines [58.09028887465797]
  An emerging class of quantum learning machines is that based on the paradigm of quantum kernels. We study how dissipation and decoherence affect their performance. We show that decoherence and dissipation can be seen as an implicit regularization for the quantum kernel machines.
  arXiv  Detail & Related papers  (2022-04-26T09:52:02Z)
• Generalized quantum subspace expansion [0.2936007114555107]
  We propose a novel quantum subspace method which can handle, coherent, and algorithmic errors in quantum computers. By fully exploiting the substantially extended subspace, we can efficiently mitigate the noise present in the spectra of a given Hamiltonian. We show that out protocol inherits the advantages of previous error-agnostic QEM techniques as well as overcoming their drawbacks.
  arXiv  Detail & Related papers  (2021-07-06T13:34:19Z)
• Hardware-Efficient, Fault-Tolerant Quantum Computation with Rydberg Atoms [55.41644538483948]
  We provide the first complete characterization of sources of error in a neutral-atom quantum computer. We develop a novel and distinctly efficient method to address the most important errors associated with the decay of atomic qubits to states outside of the computational subspace. Our protocols can be implemented in the near-term using state-of-the-art neutral atom platforms with qubits encoded in both alkali and alkaline-earth atoms.
  arXiv  Detail & Related papers  (2021-05-27T23:29:53Z)
• Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings [60.1389381016626]
  Molecular Nanomagnets may enable the implementation of qudit-based quantum error-correction codes. A microscopic understanding of the errors corrupting the quantum information encoded in a molecular qudit is essential.
  arXiv  Detail & Related papers  (2021-03-16T19:21:42Z)
• 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)
• Non-Pauli topological stabilizer codes from twisted quantum doubles [0.7734726150561088]
  We show that Abelian twisted quantum double models can be used for quantum error correction. The resulting codes are defined by non-Pauli commuting stabilizers, with local systems that can either be qubits or higher dimensional quantum systems.
  arXiv  Detail & Related papers  (2020-01-30T19:00:06Z)

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.