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

Faster than Hermitian quantum mechanics.

Carl M Bender1, Dorje C Brody, Hugh F Jones

  • 1Physics Department, Washington University, St. Louis, Missouri 63130, USA

Physical Review Letters
|March 16, 2007
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

How fake news can turn against its spreader.

PloS one·2025
Same author

Phase-Space Measurements, Decoherence, and Classicality.

Physical review letters·2025
Same author

A Quantum Double-or-Nothing Game: An Application of the Kelly Criterion to Spins.

Entropy (Basel, Switzerland)·2024
Same author

Three-candidate election strategy.

Royal Society open science·2023
Same author

Quantum formalism for the dynamics of cognitive psychology.

Scientific reports·2023
Same author

Experimentally Realizable PT Phase Transitions in Reflectionless Quantum Scattering.

Physical review letters·2023

Researchers explored the quantum brachistochrone problem, finding that non-Hermitian PT-symmetric Hamiltonians can achieve quantum state transformations faster than Hermitian ones. This involves shortening the quantum path, analogous to wormholes in general relativity, with potential quantum computing applications.

Area of Science:

  • Quantum mechanics
  • Quantum information theory
  • Theoretical physics

Background:

  • Quantum state evolution is governed by Hamiltonians.
  • The quantum brachistochrone problem seeks the fastest transformation between two quantum states.
  • Hermitian Hamiltonians impose a lower bound on transformation time.

Purpose of the Study:

  • To investigate if non-Hermitian Hamiltonians can achieve faster quantum state transformations.
  • To explore the role of PT-symmetric Hamiltonians in minimizing transformation time.
  • To compare transformation times under Hermitian versus PT-symmetric Hamiltonians with a fixed energy constraint.

Main Methods:

  • Analysis of quantum state evolution under different Hamiltonian types.
  • Application of the time-energy uncertainty principle.

Related Experiment Videos

  • Comparison of transformation times (tau) for Hermitian and PT-symmetric Hamiltonians under a fixed eigenvalue difference constraint.

    • Main Results:

    • Non-Hermitian PT-symmetric Hamiltonians allow for arbitrarily small transformation times (tau).
    • This is achieved by shortening the effective quantum path between initial and final states.
    • A fixed energy constraint (largest minus smallest eigenvalue difference) is maintained.

    Conclusions:

    • PT-symmetric Hamiltonians offer a pathway to accelerate quantum state transformations.
    • The mechanism is analogous to spacetime shortcuts (wormholes) in general relativity.
    • Potential applications exist in quantum computing for faster gate operations.