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Related Experiment Videos

Classical Branch Structure from Spatial Redundancy in a Many-Body Wave Function.

C Jess Riedel1

  • 1Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.

Physical Review Letters
|April 8, 2017
PubMed
Summary
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Quantum systems naturally form "branches" as they evolve. This study shows that local records constrain these branches, potentially ensuring a unique decomposition and simplifying quantum simulations.

Area of Science:

  • Quantum Mechanics
  • Many-Body Physics
  • Foundations of Physics

Background:

  • Large quantum systems evolving from low-entropy states often exhibit branching.
  • The uniqueness and dynamics of these branches lack formal definition and rely on toy models.
  • Spatial locality and tensor structure are key properties of quantum systems.

Purpose of the Study:

  • To formally define and investigate the uniqueness of branch decompositions in quantum systems.
  • To explore the constraints imposed by redundant local records on these decompositions.
  • To understand the implications for quantum theory and computation.

Main Methods:

  • Analysis of the tensor structure associated with spatial locality.
  • Investigation of constraints imposed by redundant local records.

Related Experiment Videos

  • Consideration of simultaneous eigenstates and their overlapping records.

    • Main Results:

    • Branch decompositions are highly constrained by the requirement of redundant local records.
    • A preferred decomposition into simultaneous eigenstates is induced unless records are highly extended and overlapping.
    • A maximum record length scale guarantees the uniqueness of the decomposition.

    Conclusions:

    • Objective branch decompositions are possible and constrained by local information.
    • Uniqueness of branches is guaranteed under a maximum record length scale.
    • These findings may enhance quantum simulations, explain thermalization, and reframe the role of measurement.