Scaling up reservoir engineering for error-correcting codes

• URL: http://arxiv.org/abs/2010.02850v1
• Date: Tue, 6 Oct 2020 16:14:13 GMT
• Title: Scaling up reservoir engineering for error-correcting codes
• Authors: Vincent Martin and Alain Sarlette
• Abstract summary: We focus on a proposal for the repetition code that counters bit-flip errors, and how to scale up the network encoding a logical quantum bit. The challenge has been to devise a network architecture which allows to autonomously correct higher-order errors, while remaining realistic towards experimental realization.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Error-correcting codes are usually envisioned to counter errors by operating unitary corrections depending on the projective measurement results of some syndrome observables. We here propose a way to use them in a more integrated way, where the error correction is applied continuously and autonomously by an engineered environment. We focus on a proposal for the repetition code that counters bit-flip errors, and how to scale up the network encoding a logical quantum bit, towards stronger information protection. The challenge has been to devise a network architecture which allows to autonomously correct higher-order errors, while remaining realistic towards experimental realization by avoiding all-to-all or all-to-one coupling.

Related papers

• Demonstrating dynamic surface codes [138.1740645504286]
  We experimentally demonstrate three time-dynamic implementations of the surface code. First, we embed the surface code on a hexagonal lattice, reducing the necessary couplings per qubit from four to three. Second, we walk a surface code, swapping the role of data and measure qubits each round, achieving error correction with built-in removal of accumulated non-computational errors. Third, we realize the surface code using iSWAP gates instead of the traditional CNOT, extending the set of viable gates for error correction without additional overhead.
  arXiv  Detail & Related papers  (2024-12-18T21:56:50Z)
• Emergent unitary designs for encoded qubits from coherent errors and syndrome measurements [1.8854166566682866]
  We propose an efficient approach to generate unitary designs for encoded qubits in surface codes. We numerically show that the ensemble of logical unitaries converges to a unitary design in the thermodynamic limit. Our results provide a practical way to realize unitary designs on encoded qubits.
  arXiv  Detail & Related papers  (2024-12-05T18:36:14Z)
• Fault-tolerant quantum computation using large spin cat-codes [0.8640652806228457]
  We construct a fault-tolerant quantum error-correcting protocol based on a qubit encoded in a large spin qudit using a spin-cat code. We show how to generate a universal gate set, including the rank-preserving CNOT gate, using quantum control and the Rydberg blockade. These findings pave the way for encoding a qubit in a large spin with the potential to achieve fault tolerance, high threshold, and reduced resource overhead in quantum information processing.
  arXiv  Detail & Related papers  (2024-01-08T22:56:05Z)
• Testing the Accuracy of Surface Code Decoders [55.616364225463066]
  Large-scale, fault-tolerant quantum computations will be enabled by quantum error-correcting codes (QECC) This work presents the first systematic technique to test the accuracy and effectiveness of different QECC decoding schemes.
  arXiv  Detail & Related papers  (2023-11-21T10:22:08Z)
• Generalized quantum data-syndrome codes and belief propagation decoding for phenomenological noise [6.322831694506286]
  We introduce quantum data-syndrome codes along with a generalized check matrix that integrates both quaternary and binary alphabets to represent diverse error sources. We observe that at high error rates, fewer rounds of syndrome extraction tend to perform better, while more rounds improve performance at lower error rates.
  arXiv  Detail & Related papers  (2023-10-19T12:23:05Z)
• Bounds on Autonomous Quantum Error Correction [3.9119979887528125]
  We analyze Markovian autonomous decoders that can be implemented with a wide range of qubit and bosonic error-correcting codes. For many-body quantum codes, we show that, to achieve error suppression comparable to active error correction, autonomous decoders generally require correction rates that grow with code size.
  arXiv  Detail & Related papers  (2023-08-30T18:00:07Z)
• 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)
• The END: An Equivariant Neural Decoder for Quantum Error Correction [73.4384623973809]
  We introduce a data efficient neural decoder that exploits the symmetries of the problem. We propose a novel equivariant architecture that achieves state of the art accuracy compared to previous neural decoders.
  arXiv  Detail & Related papers  (2023-04-14T19:46:39Z)
• 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)
• Segmented Composite Design of Robust Single-Qubit Quantum Gates [0.9487097819140653]
  We introduce an error mitigation scheme for robust single-qubit unitary gates based on composite segmented design. We show that the 3-segmented composite design for the fundamental single-qubits unitary operations reduces the error by an order of magnitude for a realistic distribution of errors.
  arXiv  Detail & Related papers  (2022-12-31T17:00:24Z)
• 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)

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.