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Virtual quantum subsystems.

P Zanardi1

  • 1Institute for Scientific Interchange Foundation, Viale Settimio Severo 65, I-10133 Torino, Italy.

Physical Review Letters
|August 11, 2001
PubMed
Summary
This summary is machine-generated.

The physical resources for quantum systems determine relevant observables and subsystem structures. Quantum noncommutative holonomies enable universal control over virtual subsystems.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations

Background:

  • The definition of subsystems in quantum mechanics is typically based on a chosen tensor product structure.
  • This choice is often arbitrary and lacks a clear operational basis.

Purpose of the Study:

  • To investigate how the physical resources available for manipulating a quantum system define its observable structure.
  • To explore the implications of this operational definition for the concept of subsystems and compoundness.
  • To introduce a method for achieving universal control over emergent quantum subsystems.

Main Methods:

  • Defining operationally relevant observables based on physical access and manipulation capabilities.
  • Analyzing the algebraic structure of these observables to identify a preferred tensor product structure.

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  • Utilizing quantum noncommutative holonomies as a tool for controlling virtual subsystems.

    • Main Results:

    • The set of operationally relevant observables uniquely determines a preferred tensor product structure, thus defining subsystems relative to the available physical resources.
    • The concept of compoundness for quantum systems is shown to be relative to this operational definition.
    • Demonstrated that universal control over these virtual subsystems can be achieved using quantum noncommutative holonomies.

    Conclusions:

    • The operational approach provides a physically grounded way to define subsystems and compoundness in quantum mechanics.
    • Quantum noncommutative holonomies offer a powerful technique for manipulating and controlling quantum information within these operationally defined subsystems.