A framework of partial error correction for intermediate-scale quantum computers

• URL: http://arxiv.org/abs/2306.15531v1
• Date: Tue, 27 Jun 2023 15:00:57 GMT
• Title: A framework of partial error correction for intermediate-scale quantum computers
• Authors: Nikolaos Koukoulekidis, Samson Wang, Tom O'Leary, Daniel Bultrini, Lukasz Cincio, Piotr Czarnik
• Abstract summary: We show that brick-layered circuits display on average slower concentration to the "useless" uniform distribution. We find that this advantage only comes when the number of error-corrected qubits passes a specified threshold.
• Score: 0.7046417074932257
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: As quantum computing hardware steadily increases in qubit count and quality, one important question is how to allocate these resources to mitigate the effects of hardware noise. In a transitional era between noisy small-scale and fully fault-tolerant systems, we envisage a scenario in which we are only able to error correct a small fraction of the qubits required to perform an interesting computation. In this work, we develop concrete constructions of logical operations on a joint system of a collection of noisy and a collection of error-corrected logical qubits. Within this setting and under Pauli noise assumptions, we provide analytical evidence that brick-layered circuits display on average slower concentration to the "useless" uniform distribution with increasing circuit depth compared to fully noisy circuits. We corroborate these findings by numerical demonstration of slower decoherence with an increasing fraction of error-corrected qubits under a noise model inspired by a real device. We find that this advantage only comes when the number of error-corrected qubits passes a specified threshold which depends on the number of couplings between error-corrected and noisy registers.

Related papers

• Low bit-flip rate probabilistic error cancellation [0.0]
  Noise remains one of the most significant challenges in the development of reliable and scalable quantum processors. In this work, we explore how the unique noise bias of cat-qubits can be harnessed to enhance error mitigation efficiency.
  arXiv  Detail & Related papers  (2024-11-10T11:04:16Z)
• Suppressing Correlated Noise in Quantum Computers via Context-Aware Compiling [0.9623525909952625]
  Correlations in noise can occur as a result of spatial and temporal configurations of instructions executing on the quantum processor. We devise compiler strategies to suppress these errors using dynamical decoupling or error compensation into the rest of the circuit. Our experiments show an increase of 18.5% in layer fidelity for a candidate 10-qubit circuit layer compared to context-unaware suppression.
  arXiv  Detail & Related papers  (2024-03-11T16:08:52Z)
• Modeling error correction with Lindblad dynamics and approximate channels [0.0]
  We study how different approximations of the noise capture the performance of the five-qubit code. A Pauli approximation going beyond a single-qubit channel, is sensitive to the details of the noise, state, and decoder. We calculate the code pseudo-threshold emerging within this model, and demonstrate how knowledge of the qubit parameters and connectivity can be used to design better decoders.
  arXiv  Detail & Related papers  (2024-02-26T16:48:34Z)
• Fault-tolerant quantum architectures based on erasure qubits [49.227671756557946]
  We exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into erasures at known locations. We propose and optimize QEC schemes based on erasure qubits and the recently-introduced Floquet codes. Our results demonstrate that, despite being slightly more complex, QEC schemes based on erasure qubits can significantly outperform standard approaches.
  arXiv  Detail & Related papers  (2023-12-21T17:40:18Z)
• Accurate and Honest Approximation of Correlated Qubit Noise [39.58317527488534]
  We propose an efficient systematic construction of approximate noise channels, where their accuracy can be enhanced by incorporating noise components with higher qubit-qubit correlation degree. We find that, for realistic noise strength typical for fixed-frequency superconducting qubits, correlated noise beyond two-qubit correlation can significantly affect the code simulation accuracy.
  arXiv  Detail & Related papers  (2023-11-15T19:00:34Z)
• Virtual distillation with noise dilution [0.0]
  Virtual distillation is an error-mitigation technique that reduces quantum-computation errors without assuming the noise type. We show that for a given overall error rate, the average mitigation performance improves monotonically as the noisy peripheral is split(diluted) into more layers. We propose an application of these findings in designing a quantum-computing cluster that houses realistic noisy intermediate-scale quantum circuits.
  arXiv  Detail & Related papers  (2022-10-26T14:34:58Z)
• Quantum error correction with dissipatively stabilized squeezed cat qubits [68.8204255655161]
  We propose and analyze the error correction performance of a dissipatively stabilized squeezed cat qubit. We find that for moderate squeezing the bit-flip error rate gets significantly reduced in comparison with the ordinary cat qubit while leaving the phase flip rate unchanged.
  arXiv  Detail & Related papers  (2022-10-24T16:02:20Z)
• Learning Noise via Dynamical Decoupling of Entangled Qubits [49.38020717064383]
  Noise in entangled quantum systems is difficult to characterize due to many-body effects involving multiple degrees of freedom. We develop and apply multi-qubit dynamical decoupling sequences that characterize noise that occurs during two-qubit gates.
  arXiv  Detail & Related papers  (2022-01-26T20:22:38Z)
• Measuring NISQ Gate-Based Qubit Stability Using a 1+1 Field Theory and Cycle Benchmarking [50.8020641352841]
  We study coherent errors on a quantum hardware platform using a transverse field Ising model Hamiltonian as a sample user application. We identify inter-day and intra-day qubit calibration drift and the impacts of quantum circuit placement on groups of qubits in different physical locations on the processor. This paper also discusses how these measurements can provide a better understanding of these types of errors and how they may improve efforts to validate the accuracy of quantum computations.
  arXiv  Detail & Related papers  (2022-01-08T23:12:55Z)
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits [58.720142291102135]
  We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) We prove that the detection of entanglement in a linear number of bipartitions by a number of measurements scales linearly, suffices to certify GME. We apply our method to the noisy readout of stabilizer operators of the distance-three topological color code and its flag-based fault-tolerant version.
  arXiv  Detail & Related papers  (2020-10-06T18:00:07Z)

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.