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

Multimode uncertainty relations and separability of continuous variable states.

Alessio Serafini1

  • 1Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.

Physical Review Letters
|April 12, 2006
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

Typicality in random quantum scattering.

Physical review. E·2024
Same author

Gravimetry through non-linear optomechanics.

Nature communications·2018
Same author

Necessity of Eigenstate Thermalization.

Physical review letters·2015
Same author

Noisy quantum cellular automata for quantum versus classical excitation transfer.

Physical review letters·2014
Same author

Coherently opening a high-Q cavity.

Physical review letters·2014
Same author

Measuring Gaussian quantum information and correlations using the Rényi entropy of order 2.

Physical review letters·2012
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

A new multimode uncertainty relation provides constraints for canonical operators. This leads to necessary conditions for the separability of continuous variable states, particularly for Gaussian states.

Area of Science:

  • Quantum mechanics
  • Quantum information theory
  • Mathematical physics

Background:

  • The Robertson-Schrödinger uncertainty relation is fundamental in quantum mechanics.
  • Entanglement and separability are key concepts in understanding quantum states.
  • Continuous variable (CV) systems are crucial for quantum information processing.

Purpose of the Study:

  • To generalize the Robertson-Schrödinger uncertainty relation to multimode systems.
  • To derive necessary conditions for the separability of multimode CV states.
  • To establish the sufficiency of these conditions for specific classes of quantum states.

Main Methods:

  • Derivation of a multimode uncertainty relation for canonical operators.
  • Utilizing the uncertainty relation to establish separability conditions.

Related Experiment Videos

  • Applying these conditions to Gaussian states and bisymmetric Gaussian states.

    • Main Results:

    • A novel multimode uncertainty relation is established as a constraint on second moments.
    • Necessary conditions for the separability of (m+n)-mode CV states are derived.
    • These conditions are shown to be necessary and sufficient for (1+n)-mode Gaussian states and (m+n)-mode bisymmetric Gaussian states.

    Conclusions:

    • The derived multimode uncertainty relation offers a powerful tool for analyzing quantum states.
    • The separability conditions provide a practical method for identifying entangled states in CV systems.
    • The findings have implications for quantum information processing and fundamental quantum mechanics.