Processing and Decoding Rydberg Decay Error with MBQC

• URL: http://arxiv.org/abs/2411.04664v4
• Date: Mon, 10 Mar 2025 03:18:25 GMT
• Title: Processing and Decoding Rydberg Decay Error with MBQC
• Authors: Cheng-Cheng Yu, Zi-Han Chen, Yu-Hao Deng, Ming-Cheng Chen, Chao-Yang Lu, Jian-Wei Pan,
• Abstract summary: We present a novel approach to manage Rydberg decay errors in measurement-based quantum computation.<n>We leverage the inherent structure of topological cluster states and final leakage detection information to locate propagated errors from Rydberg decay error.<n>Results show a comparable performance within a modest R_e, which reveals possible application of our method in near-term platform.
• Score: 5.154331853803125
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Achieving fault-tolerant quantum computing with neutral atom necessitates careful consideration of the errors inherent to this system. One typical error is the leakage from Rydberg states during the implementation of multi-qubit gates, which may propagate to multiple correlated errors and deteriorate the performance of error correction. To address this, researchers have proposed an erasure conversion protocol that employs fast leakage detection and continuous atomic replacement to convert leakage errors into benign erasure errors. While this method achieves a high threshold and a favorable error distance d_e = d, its applicability is restricted to certain atom species. In this work, we present a novel approach to manage Rydberg decay errors in measurement-based quantum computation (MBQC). From a hardware perspective, we utilize practical experimental techniques along with an adaptation of the Pauli twirling approximation (PTA) to mitigate the impacts of leakage error, which propagates similarly to Pauli error without degrading the error distance. From a decoding perspective, we leverage the inherent structure of topological cluster states and final leakage detection information to locate propagated errors from Rydberg decay error. This approach eliminates the need for mid-circuit leakage detection, while maintaining an error distance d_e = d and achieving a high threshold of 3.617(3)% per CZ gate for pure Rydberg decay. In the presence of additional Pauli errors, we demonstrate the performance of our protocol in logical error rate within a reasonable range of physical errors and draw a comparison with erasure conversion. The results show a comparable performance within a modest R_e, which reveals possible application of our method in near-term platform.

Related papers

• Locating Rydberg Decay Error in SWAP-LRU [1.8242249887033675]
  leakage from Rydberg states during the implementation of multi-qubit gates induces two-qubit error chains. We propose a hardware-efficient approach to deal with Rydberg decay errors using SWAP-LRU, augmented by final leakage detection to locate errors. Our findings provide new insights into located error and pave the way for a resource-efficient strategy to achieve fault-tolerant quantum computation with neutral atom arrays.
  arXiv  Detail & Related papers  (2025-03-03T15:26:39Z)
• Experimentally Informed Decoding of Stabilizer Codes Based on Syndrome Correlations [33.24167463060077]
  We present an experimental approach guided by a novel analytical formula to characterize the probability of independent errors. We use the method to find the optimal weights for a minimum-weight perfect matching decoder without relying on a theoretical error model.
  arXiv  Detail & Related papers  (2025-02-24T23:27:42Z)
• A Coin Has Two Sides: A Novel Detector-Corrector Framework for Chinese Spelling Correction [79.52464132360618]
  Chinese Spelling Correction (CSC) stands as a foundational Natural Language Processing (NLP) task. We introduce a novel approach based on error detector-corrector framework. Our detector is designed to yield two error detection results, each characterized by high precision and recall.
  arXiv  Detail & Related papers  (2024-09-06T09:26:45Z)
• Bounding the systematic error in quantum error mitigation due to model violation [0.0]
  We develop a methodology to efficiently compute upper bounds on the impact of error-model inaccuracy in error mitigation. Our protocols require no additional experiments, and instead rely on comparisons between the error model and the error-learning data. We show that our estimated upper bounds are typically close to the worst observed performance of error mitigation on random circuits.
  arXiv  Detail & Related papers  (2024-08-20T16:27:00Z)
• Resilience of the surface code to error bursts [0.027042267806481293]
  Some rare physical mechanisms can cause a temporary increase in the error rate that affects many qubits. Examples include ionizing radiation in superconducting hardware and large deviations in the global control of atomic systems. We refer to such rare transient spikes in the gate error rate as error bursts.
  arXiv  Detail & Related papers  (2024-06-27T05:23:36Z)
• 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)
• Transversal Injection: A method for direct encoding of ancilla states for non-Clifford gates using stabiliser codes [55.90903601048249]
  We introduce a protocol to potentially reduce this overhead for non-Clifford gates. Preliminary results hint at high quality fidelities at larger distances.
  arXiv  Detail & Related papers  (2022-11-18T06:03:10Z)
• Overcoming leakage in scalable quantum error correction [128.39402546769284]
  Leakage of quantum information out of computational states into higher energy states represents a major challenge in the pursuit of quantum error correction (QEC) Here, we demonstrate the execution of a distance-3 surface code and distance-21 bit-flip code on a Sycamore quantum processor where leakage is removed from all qubits in each cycle. We report a ten-fold reduction in steady-state leakage population on the data qubits encoding the logical state and an average leakage population of less than $1 times 10-3$ throughout the entire device.
  arXiv  Detail & Related papers  (2022-11-09T07:54:35Z)
• Benchmarking quantum logic operations relative to thresholds for fault tolerance [0.02171671840172762]
  We use gate set tomography to perform precision characterization of a set of two-qubit logic gates to study RC on a superconducting quantum processor. We show that the average and worst-case error rates are equal for randomly compiled gates, and measure a maximum worst-case error of 0.0197(3) for our gate set.
  arXiv  Detail & Related papers  (2022-07-18T17:41:58Z)
• Fast and Accurate Error Simulation for CNNs against Soft Errors [64.54260986994163]
  We present a framework for the reliability analysis of Conal Neural Networks (CNNs) via an error simulation engine. These error models are defined based on the corruption patterns of the output of the CNN operators induced by faults. We show that our methodology achieves about 99% accuracy of the fault effects w.r.t. SASSIFI, and a speedup ranging from 44x up to 63x w.r.t.FI, that only implements a limited set of error models.
  arXiv  Detail & Related papers  (2022-06-04T19:45:02Z)
• Error metric for non-trace-preserving quantum operations [3.6492255655113395]
  We study the problem of measuring errors in non-trace-preserving quantum operations. We propose an error metric that efficiently provides an upper bound on the trace distance between the normalized output states.
  arXiv  Detail & Related papers  (2021-10-05T18:54:14Z)
• 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)
• Exponential suppression of bit or phase flip errors with repetitive error correction [56.362599585843085]
  State-of-the-art quantum platforms typically have physical error rates near $10-3$. Quantum error correction (QEC) promises to bridge this divide by distributing quantum logical information across many physical qubits. We implement 1D repetition codes embedded in a 2D grid of superconducting qubits which demonstrate exponential suppression of bit or phase-flip errors.
  arXiv  Detail & Related papers  (2021-02-11T17:11:20Z)
• Removing leakage-induced correlated errors in superconducting quantum error correction [1.8397027011844889]
  Quantum computing can become scalable through error correction, but logical error rates only decrease with system size when physical errors are sufficiently uncorrelated. Here, we report a reset protocol that returns a qubit to the ground state from all relevant higher level states. We find lower rates of logical errors and an improved scaling and stability of error suppression with increasing qubit number.
  arXiv  Detail & Related papers  (2021-02-11T17:11:11Z)

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.