Jove
Visualize
Contact Us

Related Experiment Videos

Polynomial-time simulation of pairing models on a quantum computer.

L-A Wu1, M S Byrd, D A Lidar

  • 1Chemical Physics Theory Group, University of Toronto, 80 St. George Street, Toronto, Ontario M5S 3H6, Canada.

Physical Review Letters
|July 30, 2002
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

Dissipative Landau-Zener tunneling in the crossover regime from weak to strong environment coupling.

Nature communications·2025
Same author

Erratum: Simple Proof of Equivalence between Adiabatic Quantum Computation and the Circuit Model [Phys. Rev. Lett. 99, 070502 (2007)].

Physical review letters·2021
Same author

Implementation of leakage elimination operators and subspace protection.

Scientific reports·2020
Same author

Optimally combining dynamical decoupling and quantum error correction.

Scientific reports·2013
Same author

Anticandidal activity and biocompatibility of a rechargeable antifungal denture material.

Oral diseases·2012
Same author

Decoherence-protected quantum gates for a hybrid solid-state spin register.

Nature·2012
Same journal

Erratum: Spectroscopy and Ground-State Transfer of Ultracold Bosonic ^{39}K^{133}Cs Molecules [Phys. Rev. Lett. 135, 203401 (2025)].

Physical review letters·2026
Same journal

Erratum: Lifetime of the ^{2}F_{7/2} Level in Yb^{+} for Spontaneous Emission of Electric Octupole Radiation [Phys. Rev. Lett. 127, 213001 (2021)].

Physical review letters·2026
Same journal

Laser-Plasma Based Seeded Free Electron Laser in the High-Gain Regime.

Physical review letters·2026
Same journal

Parent Hamiltonians for Stabilizer Quantum Many-Body Scars.

Physical review letters·2026
Same journal

Properties of Heavy Cosmic Nuclei Phosphorus, Chlorine, Argon, Potassium, and Calcium: Results from the Alpha Magnetic Spectrometer.

Physical review letters·2026
Same journal

Role of Spin-Isospin Symmetries in Nuclear β-Decays.

Physical review letters·2026
See all related articles
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

We developed a fast algorithm to simulate pairing Hamiltonians, like the BCS Hamiltonian, on a quantum computer. This method tests the BCS Hamiltonian

Area of Science:

  • Quantum computing
  • Condensed matter physics
  • Quantum simulation

Background:

  • Pairing Hamiltonians, such as the Bardeen-Cooper-Schrieffer (BCS) Hamiltonian, are crucial for understanding superconductivity.
  • Simulating these Hamiltonians is computationally intensive, limiting studies of mesoscopic superconducting systems.

Purpose of the Study:

  • To develop an efficient quantum algorithm for simulating pairing Hamiltonians.
  • To assess the applicability of the BCS Hamiltonian to mesoscopic superconducting systems using quantum simulation.

Main Methods:

  • A polynomial-time quantum algorithm is proposed.
  • The algorithm utilizes adiabatic evolution to find the low-lying energy spectrum.
  • Nuclear Magnetic Resonance (NMR) quantum computing is employed for the simulation.

Related Experiment Videos

Main Results:

  • The algorithm efficiently simulates the target Hamiltonians.
  • It accurately identifies the spectral gap between ground and excited states.
  • Demonstrates the feasibility of quantum simulation for mesoscopic superconductivity.

Conclusions:

  • The proposed algorithm offers a practical approach for quantum simulation of BCS-like systems.
  • This work validates the use of NMR quantum computers for condensed matter physics research.
  • Provides insights into the behavior of ultrasmall superconducting grains.