Repeated Purification versus Concatenated Error Correction in Fault Tolerant Quantum Networks

• URL: http://arxiv.org/abs/2302.13791v1
• Date: Mon, 27 Feb 2023 14:10:35 GMT
• Title: Repeated Purification versus Concatenated Error Correction in Fault Tolerant Quantum Networks
• Authors: Michel Barbeau, Joaquin Garcia-Alfaro, Evangelos Kranakis
• Abstract summary: Successful entanglement swapping is error-prone. The occurrence of quantum errors can be using purification and error correction. We compare the two options: repeated purification and iterationsd error correction.
• Score: 3.52359746858894
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement distribution is a core mechanism for the future quantum Internet. The quantum world is, however, a faulty environment. Hence, successful entanglement swapping is error-prone. The occurrence of quantum state errors can be mitigated using purification and error correction, which can be repeated in the former case and concatenated in the latter case. Repeated purification merges low-fidelity qubits into higher-quality ones, while concatenated error correction builds upon the redundancy of quantum information. In this article, we study in-depth and compare the two options: repeated purification and concatenated error correction. We consider using repeated purification and concatenated error correction to mitigate the presence of faults that occur during the establishment of Bell pairs between remote network nodes. We compare their performance versus the number of repetitions or concatenations, to reach a certain level of fidelity in quantum networks. We study their resource requirements, namely, their work memory complexity (e.g., number of stored qubits) and operational complexity (e.g., number of operations). Our analysis demonstrates that concatenated error correction, versus repeated purification, requires fewer iterations and has lower operational complexity than repeated purification to reach high fidelity at the expense of increased memory requirements.

Related papers

• Boosting end-to-end entanglement fidelity in quantum repeater networks via hybridized strategies [0.6123149401802668]
  Quantum networks are expected to enhance distributed quantum computing and quantum communication over long distances. We show that a quantum network utilizing only entanglement purification or only quantum error correction as error management strategies cannot create Bell pairs with fidelity that exceeds the requirement for a secured quantum key distribution protocol for a broad range of hardware parameters.
  arXiv  Detail & Related papers  (2024-05-16T07:38:17Z)
• Fidelity decay and error accumulation in quantum volume circuits [0.3562485774739681]
  fidelity decays exponentially with both circuit depth and the number of qubits raised to an architecture-dependent power. We establish a robust linear relationship between fidelity and the heavy output frequency used in Quantum Volume tests to benchmark quantum processors.
  arXiv  Detail & Related papers  (2024-04-17T14:53:26Z)
• Fast Flux-Activated Leakage Reduction for Superconducting Quantum Circuits [84.60542868688235]
  leakage out of the computational subspace arising from the multi-level structure of qubit implementations. We present a resource-efficient universal leakage reduction unit for superconducting qubits using parametric flux modulation. We demonstrate that using the leakage reduction unit in repeated weight-two stabilizer measurements reduces the total number of detected errors in a scalable fashion.
  arXiv  Detail & Related papers  (2023-09-13T16:21:32Z)
• Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons [59.63080344946083]
  We show that a "dual-rail qubit" consisting of a pair of resonantly coupled transmons can form a highly coherent erasure qubit. We demonstrate mid-circuit detection of erasure errors while introducing $ 0.1%$ dephasing error per check. This work establishes transmon-based dual-rail qubits as an attractive building block for hardware-efficient quantum error correction.
  arXiv  Detail & Related papers  (2023-07-17T18:00:01Z)
• Resource-efficient fault-tolerant one-way quantum repeater with code concatenation [1.4162113230024156]
  We propose a one-way quantum repeater that targets both the loss and operational error rates in a communication channel. We show that intercontinental distances of up to 10,000 km can be bridged with a minimal resource overhead.
  arXiv  Detail & Related papers  (2023-06-12T16:33:23Z)
• Entanglement Distribution in Quantum Repeater with Purification and Optimized Buffer Time [53.56179714852967]
  We explore entanglement distribution using quantum repeaters with optimized buffer time. We observe that increasing the number of memories on end nodes leads to a higher entanglement distribution rate per memory. When imperfect operations are considered, however, we make the surprising observation that the per-memory entanglement rate decreases with increasing number of memories.
  arXiv  Detail & Related papers  (2023-05-23T23:23:34Z)
• 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)
• Construction of Bias-preserving Operations for Pair-cat Code [17.34207569961146]
  Multi-level systems can achieve a desirable set of bias-preserving quantum operations. Cat codes are not compatible with continuous quantum error correction against excitation loss error. We generalize the bias-preserving operations to pair-cat codes to be compatible with continuous quantum error correction against both bosonic loss and dephasing errors.
  arXiv  Detail & Related papers  (2022-08-14T20:45:26Z)
• Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer [64.47265213752996]
  We experimentally demonstrate a fault-tolerant weight-4 parity check measurement scheme. We achieve a flag-conditioned parity measurement single-shot fidelity of 93.2(2)%. The scheme is an essential building block in a broad class of stabilizer quantum error correction protocols.
  arXiv  Detail & Related papers  (2021-07-13T20:08:04Z)
• Dual-state purification for practical quantum error mitigation [5.625946422295428]
  Quantum error mitigation is essential for computing on the noisy quantum computer with a limited number of qubits. We propose a practical protocol of error mitigation by virtually purifying the quantum state without qubit overhead. We successfully demonstrate the reduced error with a quantum variational eigensolver circuit.
  arXiv  Detail & Related papers  (2021-05-04T01:33:35Z)
• Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions [62.997667081978825]
  We present a study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-addressed laser beams. This type of errors affects spectator qubits that, ideally, should remain unaltered during the application of single- and two-qubit quantum gates addressed at a different set of active qubits. We microscopically model crosstalk errors from first principles and present a detailed study showing the importance of using a coherent vs incoherent error modelling and, moreover, discuss strategies to actively suppress this crosstalk at the gate level.
  arXiv  Detail & Related papers  (2020-12-21T14:20:40Z)

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.