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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Published on: December 4, 2017

Quantum speed limits in open system dynamics.

A del Campo1, I L Egusquiza, M B Plenio

  • 1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review Letters
|February 19, 2013
PubMed
Summary
This summary is machine-generated.

Researchers derived a new time-energy uncertainty relation for open quantum systems, establishing a quantum speed limit. This bound is crucial for quantum metrology and understanding quantum system evolution, even with noise.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science
  • Quantum Dynamics

Background:

  • Quantum system evolution speed is critical for quantum metrology, chemical dynamics, and computation.
  • Existing bounds often assume unitary evolution, limiting applicability to open systems.

Purpose of the Study:

  • To derive a general time-energy uncertainty relation for open quantum systems.
  • To establish a fundamental bound on the speed of quantum evolution (quantum speed limit).

Main Methods:

  • Developed a novel time-energy uncertainty relation for completely positive, trace-preserving (CPTP) quantum evolutions.
  • Analyzed the relation for Lindblad-form evolution, analogous to the Mandelstam-Tamm relation.

Main Results:

  • Derived a new bound for the quantum speed limit in open quantum systems.
  • The bound utilizes the adjoint of the generator of the dynamical semigroup, replacing the Hamiltonian in unitary cases.
  • Demonstrated the bound's applicability in estimating passage times and precision limits in noisy quantum metrology.

Conclusions:

  • The derived time-energy uncertainty relation provides a universal bound for quantum speed limits in open systems.
  • This work extends fundamental concepts of quantum dynamics and uncertainty relations.
  • The findings have direct implications for advancing quantum metrology and quantum computation.