Robust Error Accumulation Suppression for Quantum Circuits

• URL: http://arxiv.org/abs/2401.16884v2
• Date: Tue, 08 Oct 2024 02:33:50 GMT
• Title: Robust Error Accumulation Suppression for Quantum Circuits
• Authors: Tatsuki Odake, Philip Taranto, Nobuyuki Yoshioka, Toshinari Itoko, Kunal Sharma, Antonio Mezzacapo, Mio Murao,
• Abstract summary: We present a robust error accumulation suppression technique to manage errors in quantum computers. For coherent errors, we show a reduction of the error scaling in an $L$-depth circuit from $O(sqrtL)$ to $O(sqrtL)$. We derive the general form of decoherence noise that can be suppressed by REAS.
• Score: 0.6282171844772421
• License:
• Abstract: We present a robust error accumulation suppression (REAS) technique to manage errors in quantum computers. Our method reduces the accumulation of errors in any quantum circuit composed of single- or two-qubit gates expressed as $e^{-i \sigma\theta }$ for Pauli operators $\sigma$ and $\theta \in [0,\pi)$, which forms a universal gate set. For coherent errors -- which include gate overrotation and crosstalk -- we demonstrate a reduction of the error scaling in an $L$-depth circuit from $O(L)$ to $O(\sqrt{L})$. This asymptotic error suppression behavior can be proven in a regime where all gates -- including those constituting the error-suppressing protocol itself -- are noisy. Going beyond coherent errors, we derive the general form of decoherence noise that can be suppressed by REAS. Lastly, we experimentally demonstrate the effectiveness of our approach regarding realistic errors using 100-qubit circuits with up to 64 two-qubit gate layers on IBM Quantum processors.

Related papers

• 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)
• Error Correction of Quantum Algorithms: Arbitrarily Accurate Recovery Of Noisy Quantum Signal Processing [4.360680431298019]
  We present a first step in achieving error correction at the level of quantum algorithms by combining a unified perspective on modern quantum algorithms via quantum signal processing. Our algorithmic-level error correction method is applied to Grover's fixed-point search algorithm as a demonstration.
  arXiv  Detail & Related papers  (2023-01-20T12:56:20Z)
• Single-shot error mitigation by coherent Pauli checks [6.992823294269743]
  We show how to generate samples from the output distribution of a quantum circuit without full-blown error correction. Our approach is based on Coherent Pauli Checks that detect errors in a Clifford circuit.
  arXiv  Detail & Related papers  (2022-12-07T20:03:07Z)
• Quantum Error Correction Scheme for Fully Correlated Noise [0.0]
  This paper investigates quantum error correction schemes for fully-correlated noise channels on an $n$-qubit system. We implement a hybrid quantum error correction scheme that protects both quantum and classical information using IBM's quantum computers.
  arXiv  Detail & Related papers  (2022-02-24T23:04:25Z)
• Experimental Characterization of Fault-Tolerant Circuits in Small-Scale Quantum Processors [67.47400131519277]
  A code's logical gate set may be deemed fault-tolerant for gate sequences larger than 10 gates. Some circuits did not satisfy the fault tolerance criterion. It is most accurate to assess the fault tolerance criterion when the circuits tested are restricted to those that give rise to an output state with a low dimension.
  arXiv  Detail & Related papers  (2021-12-08T01:52:36Z)
• Software mitigation of coherent two-qubit gate errors [55.878249096379804]
  Two-qubit gates are important components of quantum computing. But unwanted interactions between qubits (so-called parasitic gates) can degrade the performance of quantum applications. We present two software methods to mitigate parasitic two-qubit gate errors.
  arXiv  Detail & Related papers  (2021-11-08T17:37:27Z)
• 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 Error Suppression for Near-Term Quantum Devices [0.0]
  In NISQ era, complexity and scale required to adopt even the smallest QEC is prohibitive. We show that for the crucial case of estimating expectation values of observables one can indeed achieve an effective exponential suppression.
  arXiv  Detail & Related papers  (2020-11-11T18:00:38Z)
• Fault-tolerant Coding for Quantum Communication [71.206200318454]
  encode and decode circuits to reliably send messages over many uses of a noisy channel. For every quantum channel $T$ and every $eps>0$ there exists a threshold $p(epsilon,T)$ for the gate error probability below which rates larger than $C-epsilon$ are fault-tolerantly achievable. Our results are relevant in communication over large distances, and also on-chip, where distant parts of a quantum computer might need to communicate under higher levels of noise.
  arXiv  Detail & Related papers  (2020-09-15T15:10:50Z)

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.