Noise-resilient phase estimation with randomized compiling

• URL: http://arxiv.org/abs/2208.04100v2
• Date: Thu, 22 Jun 2023 14:34:49 GMT
• Title: Noise-resilient phase estimation with randomized compiling
• Authors: Yanwu Gu, Yunheng Ma, Nicolo Forcellini, Dong E. Liu
• Abstract summary: We develop an error mitigation method for the control-free phase estimation. We prove a theorem that under the first-order correction, the noise channels with only Hermitian Kraus operators do not change the phases of a unitary operator. Our method paves the way for the utilization of quantum phase estimation before the advent of fault-tolerant quantum computers.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: We develop an error mitigation method for the control-free phase estimation. We prove a theorem that under the first-order correction, the noise channels with only Hermitian Kraus operators do not change the phases of a unitary operator, and therefore, the benign types of noise for phase estimation are identified. By using the randomized compiling protocol, we can convert the generic noise in the phase estimation circuits into stochastic Pauli noise, which satisfies the condition of our theorem. Thus we achieve a noise-resilient phase estimation without any quantum resource overhead. The simulated experiments show that our method can significantly reduce the estimation error of the phases by up to two orders of magnitude. Our method paves the way for the utilization of quantum phase estimation before the advent of fault-tolerant quantum computers.

Related papers

• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps [46.350147604946095]
  We introduce Lindblad-like quantum tomography (L$ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors. We discuss L$ell$QT for the dephasing dynamics of single qubits in detail, which allows for a neat understanding of the importance of including multiple snapshots of the quantum evolution in the likelihood function.
  arXiv  Detail & Related papers  (2024-03-28T19:29:12Z)
• Emergence of noise-induced barren plateaus in arbitrary layered noise models [44.99833362998488]
  In variational quantum algorithms the parameters of a parameterized quantum circuit are optimized in order to minimize a cost function that encodes the solution of the problem. We discuss how, and in which sense, the phenomenon of noise-induced barren plateaus emerges in parameterized quantum circuits with a layered noise model.
  arXiv  Detail & Related papers  (2023-10-12T15:18:27Z)
• Latent Class-Conditional Noise Model [54.56899309997246]
  We introduce a Latent Class-Conditional Noise model (LCCN) to parameterize the noise transition under a Bayesian framework. We then deduce a dynamic label regression method for LCCN, whose Gibbs sampler allows us efficiently infer the latent true labels. Our approach safeguards the stable update of the noise transition, which avoids previous arbitrarily tuning from a mini-batch of samples.
  arXiv  Detail & Related papers  (2023-02-19T15:24:37Z)
• Error Mitigation Thresholds in Noisy Random Quantum Circuits [0.30723404270319693]
  We study the robustness of probabilistic error cancellation and tensor network error mitigation when the noise is imperfectly characterized. For one-dimensional circuits, error mitigation fails at an $mathcalO(1)$ time for any imperfection in the characterization of disorder. We discuss further implications for tests of quantum computational advantage, fault-tolerant probes of measurement-induced phase transitions, and quantum algorithms in near-term devices.
  arXiv  Detail & Related papers  (2023-02-08T19:00:01Z)
• Indefinite causal order for quantum metrology with quantum thermal noise [0.0]
  A switched quantum channel with indefinite causal order is studied for the fundamental metrological task of phase estimation on a qubit unitary operator. Phase estimation can be performed by measuring the control qubit alone, although it does not actively interact with the unitary process. The present study extends to thermal noise, investigations previously carried out with the more symmetric and isotropic qubit depolarizing noise.
  arXiv  Detail & Related papers  (2022-11-03T10:11:26Z)
• High-Order Qubit Dephasing at Sweet Spots by Non-Gaussian Fluctuators: Symmetry Breaking and Floquet Protection [55.41644538483948]
  We study the qubit dephasing caused by the non-Gaussian fluctuators. We predict a symmetry-breaking effect that is unique to the non-Gaussian noise.
  arXiv  Detail & Related papers  (2022-06-06T18:02:38Z)
• Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage of Quantum Algorithms [76.15799379604898]
  Quantum phase estimation suffers from spectral leakage when the reciprocal of the record length is not an integer multiple of the unknown phase. We propose a dual-frequency estimator, which approaches the Cramer-Rao bound, when multiple samples are available.
  arXiv  Detail & Related papers  (2022-01-23T17:20:34Z)
• Mitigating depolarizing noise on quantum computers with noise-estimation circuits [1.3375143521862154]
  We present a method to mitigate the depolarizing noise by first estimating its rate with a noise-estimation circuit. We find that our approach in combination with readout-error correction, compiling, randomized, and zero-noise extrapolation produces results close to exact results even for circuits containing hundreds of CNOT gates.
  arXiv  Detail & Related papers  (2021-03-15T17:59:06Z)
• Quasiprobability decompositions with reduced sampling overhead [4.38301148531795]
  Quantum error mitigation techniques can reduce noise on current quantum hardware without the need for fault-tolerant quantum error correction. We present a new algorithm based on mathematical optimization that aims to choose the quasiprobability decomposition in a noise-aware manner.
  arXiv  Detail & Related papers  (2021-01-22T19:00:06Z)
• 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)
• Squeezing as a resource to counteract phase diffusion in optical phase estimation [0.0]
  We analyze situations in which the noise occurs before encoding phase information. We show that squeezing the probe after the noise greatly enhances the sensitivity of the estimation scheme.
  arXiv  Detail & Related papers  (2020-08-07T13:08:23Z)

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.