Estimating the Coherence of Noise

Abstract

Noise mechanisms in quantum systems can be broadly characterized as either coherent (i.e., unitary) or incoherent. For a given fixed average error rate, coherent noise mechanisms will generally lead to a larger worst-case error than incoherent noise. We show that the coherence of a noise source can be quantified by the unitarity, which we relate to the average change in purity averaged over input pure states. We then show that the unitarity can be efficiently estimated using a protocol based on randomized benchmarking that is efficient and robust to state-preparation and measurement errors. We also show that the unitarity provides a lower bound on the optimal achievable gate infidelity under a given noisy process.

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Document Details

Document Type
Technical Report
Publication Date
Nov 05, 2015
Accession Number
AD1055398

Entities

People

  • Chris Granade
  • Joel J Wallman
  • Robin Harper
  • Steven T. Flammia

Tags

DTIC Thesaurus Topics

  • Eigenvalues
  • Eigenvectors
  • Electronic Mail
  • Equations
  • Estimators
  • Identities
  • Inequalities
  • Information Processing
  • Numbers
  • Probability
  • Quantum Bits
  • Quantum Computers
  • Quantum Computing
  • Quantum Information
  • Quantum Information Science
  • Quantum States
  • Vector Spaces

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Systems Analysis and Design

Technology Areas

  • Quantum Computing