Statistical phase estimation and error mitigation on a superconducting quantum processor

• URL: http://arxiv.org/abs/2304.05126v1
• Date: Tue, 11 Apr 2023 10:40:22 GMT
• Title: Statistical phase estimation and error mitigation on a superconducting quantum processor
• Authors: Nick S. Blunt, Laura Caune, R\'obert Izs\'ak, Earl T. Campbell, Nicole Holzmann
• Abstract summary: We practically implement statistical phase estimation on Rigetti's superconducting processors. We incorporate error mitigation strategies including zero-noise extrapolation and readout error mitigation with bit-flip averaging. Our work demonstrates that statistical phase estimation has a natural resilience to noise, particularly after mitigating coherent errors.
• Score: 2.624902795082451
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum phase estimation (QPE) is a key quantum algorithm, which has been widely studied as a method to perform chemistry and solid-state calculations on future fault-tolerant quantum computers. Recently, several authors have proposed statistical alternatives to QPE that have benefits on early fault-tolerant devices, including shorter circuits and better suitability for error mitigation techniques. However, practical implementations of the algorithm on real quantum processors are lacking. In this paper we practically implement statistical phase estimation on Rigetti's superconducting processors. We specifically use the method of Lin and Tong [PRX Quantum 3, 010318 (2022)] using the improved Fourier approximation of Wan et al. [PRL 129, 030503 (2022)], and applying a variational compilation technique to reduce circuit depth. We then incorporate error mitigation strategies including zero-noise extrapolation and readout error mitigation with bit-flip averaging. We propose a simple method to estimate energies from the statistical phase estimation data, which is found to improve the accuracy in final energy estimates by one to two orders of magnitude with respect to prior theoretical bounds, reducing the cost to perform accurate phase estimation calculations. We apply these methods to chemistry problems for active spaces up to 4 electrons in 4 orbitals, including the application of a quantum embedding method, and use them to correctly estimate energies within chemical precision. Our work demonstrates that statistical phase estimation has a natural resilience to noise, particularly after mitigating coherent errors, and can achieve far higher accuracy than suggested by previous analysis, demonstrating its potential as a valuable quantum algorithm for early fault-tolerant devices.

Related papers

• Application of zero-noise extrapolation-based quantum error mitigation to a silicon spin qubit [0.08603957004874943]
  We report the implementation of a zero-noise extrapolation-based error mitigation technique on a silicon spin qubit platform. This technique has been successfully demonstrated for other platforms such as superconducting qubits, trapped-ion qubits, and photonic processors.
  arXiv  Detail & Related papers  (2024-10-14T09:51:21Z)
• Optimal Low-Depth Quantum Signal-Processing Phase Estimation [0.029541734875307393]
  We introduce Quantum Signal-Processing Phase Estimation algorithms that are robust against challenges and achieve optimal performance. Our approach achieves an unprecedented standard deviation accuracy of $10-4$ radians for estimating unwanted swap angles in superconducting two-qubit experiments. Our results are rigorously validated against the quantum Fisher information, confirming our protocol's ability to achieve unmatched precision for two-qubit gate learning.
  arXiv  Detail & Related papers  (2024-06-17T10:33:52Z)
• An Early Investigation of the HHL Quantum Linear Solver for Scientific Applications [7.495181307075487]
  We explore using the Harrow-Hassidim-Lloyd (HHL) algorithm to address scientific and engineering problems through quantum computing. Focusing on domains such as power-grid management and heat transfer problems, we demonstrate the correlations of the precision of quantum phase estimation. We conclude the exponential resource cost from quantum phase estimation before and after quantum error correction and illustrate a potential way to reduce the demands on physical qubits.
  arXiv  Detail & Related papers  (2024-04-29T19:21:38Z)
• 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)
• Near-Term Distributed Quantum Computation using Mean-Field Corrections and Auxiliary Qubits [77.04894470683776]
  We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production. We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-09-11T18:00:00Z)
• Compilation of a simple chemistry application to quantum error correction primitives [44.99833362998488]
  We estimate the resources required to fault-tolerantly perform quantum phase estimation on a minimal chemical example. We find that implementing even a simple chemistry circuit requires 1,000 qubits and 2,300 quantum error correction rounds.
  arXiv  Detail & Related papers  (2023-07-06T18:00:10Z)
• Reducing the cost of energy estimation in the variational quantum eigensolver algorithm with robust amplitude estimation [50.591267188664666]
  Quantum chemistry and materials is one of the most promising applications of quantum computing. Much work is still to be done in matching industry-relevant problems in these areas with quantum algorithms that can solve them.
  arXiv  Detail & Related papers  (2022-03-14T16:51:36Z)
• Numerical Simulations of Noisy Quantum Circuits for Computational Chemistry [51.827942608832025]
  Near-term quantum computers can calculate the ground-state properties of small molecules. We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
  arXiv  Detail & Related papers  (2021-12-31T16:33:10Z)
• Circuit Symmetry Verification Mitigates Quantum-Domain Impairments [69.33243249411113]
  We propose circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state. In particular, we propose the Fourier-temporal stabilizer (STS) technique, which generalizes the conventional quantum-domain formalism to circuit-oriented stabilizers.
  arXiv  Detail & Related papers  (2021-12-27T21:15:35Z)
• Error mitigation via verified phase estimation [0.25295633594332334]
  This paper presents a new error mitigation technique based on quantum phase estimation. We show that it can be adapted to function without the use of control qubits.
  arXiv  Detail & Related papers  (2020-10-06T07:44:10Z)
• Algorithmic Error Mitigation Scheme for Current Quantum Processors [0.0]
  We present a hardware agnostic error mitigation algorithm for near term quantum processors inspired by the classical Lanczos method. We demonstrate through numerical simulations and experiments on IBM Quantum hardware that the proposed scheme significantly increases the accuracy of cost functions evaluations.
  arXiv  Detail & Related papers  (2020-08-25T09:48:20Z)

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.