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

Discriminating States: the quantum Chernoff bound.

K M R Audenaert1, J Calsamiglia, R Muñoz-Tapia

  • 1Institute for Mathematical Sciences, Imperial College London, 53 Prince's Gate, London SW7 2PG, United Kingdom.

Physical Review Letters
|May 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

Quantum Advantage in Identifying the Parity of Permutations with Certainty.

Physical review letters·2026
Same author

Beyond the Swap Test: Optimal Estimation of Quantum State Overlap.

Physical review letters·2020
Same author

Scalable Bell Inequalities for Qubit Graph States and Robust Self-Testing.

Physical review letters·2020
Same author

Device-Independent Witnesses of Entanglement Depth from Two-Body Correlators.

Physical review letters·2019
Same author

Heating without heat: Thermodynamics of passive energy filters between finite systems.

Physical review. E·2018
Same author

Renormalization Group Flows of Hamiltonians Using Tensor Networks.

Physical review letters·2017
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

We identified the quantum Chernoff bound for distinguishing quantum states with minimal error. This quantum bound is a natural measure of distance between quantum states, generalizing the classical Chernoff bound.

Area of Science:

  • Quantum information theory
  • Quantum state discrimination

Background:

  • Distinguishing quantum states is crucial for quantum information processing.
  • Existing distance measures for quantum states have limitations.

Purpose of the Study:

  • To determine the minimal probability of error in discriminating two quantum states using asymptotically many copies.
  • To introduce and validate the quantum Chernoff bound as a fundamental metric.

Main Methods:

  • Asymptotic analysis of quantum state discrimination.
  • Derivation of the quantum Chernoff bound.

Main Results:

  • The minimal probability of error was determined.
  • The quantum Chernoff bound was identified, solving a long-standing problem.

Related Experiment Videos

  • The bound was shown to reduce to the classical Chernoff bound for commuting quantum states.

    • Conclusions:

    • The quantum Chernoff bound is a natural and robust distance measure for quantum states.
    • It offers a clear operational meaning and avoids drawbacks of other measures.