Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Classical versus quantum errors in quantum computation of dynamical systems.

Davide Rossini1, Giuliano Benenti, Giulio Casati

  • 1Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria and NEST-INFM & Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy. d.rossini@sns.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
Summary

Quantum computation stability differs from classical systems. "Quantum errors" in algorithms show fidelity decay independent of system dynamics, unlike "classical errors" which are highly sensitive.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Out-of-equilibrium spinodal-like scaling behaviors at the thermal first-order transitions of three-dimensional q-state Potts models.

Physical review. E·2026
Same author

Quantum versus Classical Thermal Transport at Low Temperatures.

Physical review letters·2026
Same author

Optimal quantum transport on a ring via locally monitored chiral quantum walks.

Physical review. E·2025
Same author

Local integrability breaking and exponential localization of leading Lyapunov vectors.

Physical review. E·2025
Same author

Correspondence Principle, Ergodicity, and Finite-Time Dynamics.

Physical review letters·2025
Same author

Rectification of heat current in Corbino geometry.

Physical review. E·2024

Area of Science:

  • Quantum Information Science
  • Computational Physics
  • Quantum Computing

Background:

  • Quantum algorithms simulate complex quantum systems.
  • System stability is crucial for reliable quantum computation.
  • Understanding error effects is key to advancing quantum algorithms.

Purpose of the Study:

  • To analyze quantum algorithm stability across different dynamical regimes (chaos to integrability).
  • To compare the impact of classical parameter perturbations versus quantum gate errors on fidelity.
  • To investigate the relationship between simulated system dynamics and computational fidelity.

Main Methods:

  • Simulating quantum dynamics using a quantum algorithm.
  • Perturbing system parameters to mimic classical errors.

Related Experiment Videos

  • Introducing unitary errors in quantum gates to represent quantum errors.
  • Analyzing fidelity decay under both error types across various dynamical regimes.

    • Main Results:

    • Fidelity decay under classical errors is highly sensitive to the system's dynamical regime.
    • Fidelity decay under quantum errors is largely independent of the simulated system's dynamics.
    • Quantum errors do not exhibit a classical Lyapunov exponent-driven semiclassical regime.

    Conclusions:

    • The stability analysis of quantum motion under classical perturbations does not directly translate to quantum computation fidelity under quantum errors.
    • Quantum errors introduce a distinct error mechanism in quantum computation, independent of classical dynamics.
    • This finding highlights unique challenges and characteristics of quantum error correction and fault tolerance.