Demonstrating experimentally the encoding and dynamics of an error-correctable logical qubit on a hyperfine-coupled nuclear spin qudit

• URL: http://arxiv.org/abs/2405.20827v2
• Date: Thu, 09 Jan 2025 16:03:50 GMT
• Title: Demonstrating experimentally the encoding and dynamics of an error-correctable logical qubit on a hyperfine-coupled nuclear spin qudit
• Authors: Sumin Lim, Mikhail V. Vaganov, Junjie Liu, Arzhang Ardavan,
• Abstract summary: High-dimensional quantum systems offer more hardware-efficient protocols than qubit-based approaches. We implement a logical qubit encoded on the four states of a nuclear spin hyperfine-coupled to a S=1/2 electron spin qubit. Our results confirm the potential of these proposals for practical, implementable, fault tolerant quantum memories.
• Score: 4.720777561985926
• License:
• Abstract: The realization of effective quantum error correction protocols remains a central challenge in the development of scalable quantum computers. Employing high-dimensional quantum systems (qudits) can offer more hardware-efficient protocols than qubit-based approaches. Using electron-nuclear double resonance, we implement a logical qubit encoded on the four states of a I=3/2 nuclear spin hyperfine-coupled to a S=1/2 electron spin qubit; the encoding protects against the dominant decoherence mechanism in such systems, fluctuations of the quantizing magnetic field. We explore the dynamics of the encoded state both under a controlled application of the fluctuation and under natural decoherence processes. Our results confirm the potential of these proposals for practical, implementable, fault tolerant quantum memories.

Related papers

• Experimental Demonstration of Logical Magic State Distillation [62.77974948443222]
  We present the experimental realization of magic state distillation with logical qubits on a neutral-atom quantum computer. Our approach makes use of a dynamically reconfigurable architecture to encode and perform quantum operations on many logical qubits in parallel.
  arXiv  Detail & Related papers  (2024-12-19T18:38:46Z)
• Encoded probabilistic imaginary-time evolution on a trapped-ion quantum computer for ground and excited states of spin qubits [0.0]
  We employ a quantum computer to solve a low-energy effective Hamiltonian for spin defects in diamond and aluminium nitride. The spin singlet state is difficult to compute using density functional theory (DFT), which should be described by multiple Slater determinants. This is the first instance of an encoded PITE circuit being executed on a trapped-ion quantum computer.
  arXiv  Detail & Related papers  (2024-07-15T09:07:54Z)
• Characterization and Coherent Control of Spin Qubits with Modulated Electron Beam and Resonator [0.0]
  coherent dynamics and control of spin qubits are essential requirements for quantum technology. A prominent challenge for coherent control of a spin qubit in a set of qubits is the destructive effect of the applied magnetic field on the coherent dynamics of neighbouring qubits. We propose a novel scheme to characterize the coherent dynamics of these quantum systems and to coherently control them using a magnetic field.
  arXiv  Detail & Related papers  (2023-03-31T10:29:26Z)
• 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)
• Quantum control of Rydberg atoms for mesoscopic-scale quantum state and circuit preparation [0.0]
  Individually trapped Rydberg atoms show significant promise as a platform for scalable quantum simulation. We show that quantum control can be used to reliably generate fully connected cluster states and to simulate the error-correction encoding circuit.
  arXiv  Detail & Related papers  (2023-02-15T19:00:01Z)
• 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)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit [62.997667081978825]
  We present a circuit design composed of a non-reciprocal device and Josephson junctions whose ground space is doubly degenerate and the ground states are approximate codewords of the Gottesman-Kitaev-Preskill (GKP) code. We find that the circuit is naturally protected against the common noise channels in superconducting circuits, such as charge and flux noise, implying that it can be used for passive quantum error correction.
  arXiv  Detail & Related papers  (2020-02-18T16:45:09Z)

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.