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

Geometric phases for mixed states in interferometry.

E Sjöqvist1, A K Pati, A Ekert

  • 1Department of Quantum Chemistry, Uppsala University, Box 518, Se-751 20 Uppsala, Sweden.

Physical Review Letters
|September 27, 2000
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

Temporal trends and prognostic impact of pre-hospital delay in ST-elevation myocardial infarction-20-year observational study from the SWEDEHEART registry.

European heart journal. Acute cardiovascular care·2025
Same author

Coupled atomistic spin-lattice simulations of ultrafast demagnetization in 3d ferromagnets.

Scientific reports·2024
Same author

Phase-Preserving Linear Amplifiers Not Simulable by the Parametric Amplifier.

Physical review letters·2020
Same author

International practices in the dietary management of fructose 1-6 biphosphatase deficiency.

Orphanet journal of rare diseases·2018
Same author

Experimental Verification of a Jarzynski-Related Information-Theoretic Equality by a Single Trapped Ion.

Physical review letters·2018
Same author

Gravitationally Induced Entanglement between Two Massive Particles is Sufficient Evidence of Quantum Effects in Gravity.

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

Researchers developed a physical method using interferometry to measure the total phase in mixed quantum states during unitary evolution. This work defines a parallel transport condition for geometric phase in mixed states, simplifying to known pure state formulas.

Area of Science:

  • Quantum Mechanics
  • Quantum Optics
  • Interferometry

Background:

  • Defining and measuring the total phase of mixed quantum states undergoing unitary evolution has been a significant challenge in quantum mechanics.
  • Existing methods often struggle to accurately capture phase information for systems that are not in a pure state.

Purpose of the Study:

  • To introduce a physically realizable prescription for determining the total phase of a mixed quantum state during unitary evolution.
  • To establish a framework for understanding geometric phase in mixed states, analogous to pure states.

Main Methods:

  • Development of a physical prescription utilizing interferometry.
  • Definition of a parallel transport condition to derive a connection form.
  • Mathematical formulation for the geometric phase applicable to mixed states.

Related Experiment Videos

Main Results:

  • A novel interferometric method is proposed for measuring the total phase of mixed quantum states.
  • The parallel transport condition successfully provides a connection form for calculating geometric phase in mixed states.
  • The derived expression for the geometric phase of mixed states simplifies to established formulas for pure states under noncyclic and unitary evolution.

Conclusions:

  • The study successfully provides a physical and measurable approach to the total phase of mixed quantum states.
  • The introduced parallel transport condition offers a robust method for defining geometric phase in mixed quantum systems.
  • This work bridges the understanding of phase in mixed states with the well-established theory for pure states.