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

Quantum computing of semiclassical formulas.

B Georgeot1, O Giraud

  • 1Laboratoire de Physique Théorique, Université de Toulouse, UPS, CNRS, 31062 Toulouse, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 4, 2008
PubMed
Summary
This summary is machine-generated.

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

Probing non-ergodicity and symmetry via direct measurement of coherent scattering in a shaken rotor.

Nature communications·2026
Same author

Accuracy of neural networks for the simulation of chaotic dynamics: Precision of training data vs precision of the algorithm.

Chaos (Woodbury, N.Y.)·2020
Same author

Semiclassical evaluation of expectation values.

Physical review. E·2020
Same author

Chaos-assisted tunneling resonances in a synthetic Floquet superlattice.

Science advances·2020
Same author

Grafting both acute wound site and adjacent donor site with the same graft: an easy and safe procedure to improve healing and minimize pain in elderly and bedridden patients.

Annals of burns and fire disasters·2017
Same author

Scaling Theory of the Anderson Transition in Random Graphs: Ergodicity and Universality.

Physical review letters·2017
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Quantum computers can efficiently implement semiclassical formulas like the Gutzwiller trace formula. This research presents quantum algorithms offering quadratic speedups over classical computation for these tasks.

Area of Science:

  • Quantum Computing
  • Quantum Mechanics
  • Computational Physics

Background:

  • Semiclassical formulas, such as the Gutzwiller trace formula, are crucial for understanding the relationship between classical and quantum mechanics.
  • Implementing these formulas classically can be computationally intensive, limiting their application.

Purpose of the Study:

  • To demonstrate the efficient implementation of semiclassical formulas on quantum computers.
  • To develop quantum algorithms for tasks involving classical trajectories and quantum evolution.
  • To compare the efficiency of quantum versus classical computation for semiclassical approximations.

Main Methods:

  • Development of explicit quantum algorithms.
  • Utilizing quantum computers for implementing the Gutzwiller trace formula.

Related Experiment Videos

  • Calculating quantum observables from classical trajectories.
  • Computing classical actions from quantum evolution to test semiclassical approximations.

    • Main Results:

    • Semiclassical formulas can be implemented more efficiently on quantum computers than classical devices.
    • Quantum algorithms provide a quadratic speedup in general over classical computation.
    • In specific cases, the computational gain can be even larger.

    Conclusions:

    • Quantum computing offers a significant advantage for tasks involving semiclassical approximations.
    • The developed quantum algorithms provide a powerful new tool for computational physics and quantum mechanics research.
    • This work paves the way for exploring complex quantum systems more effectively.