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Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
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Published on: June 15, 2022

Quantum speed limit for non-Markovian dynamics.

Sebastian Deffner1, Eric Lutz

  • 1Department of Chemistry and Biochemistry and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.

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

This study establishes a quantum speed limit for open quantum systems, showing that non-Markovian effects can accelerate evolution and reduce the minimal time required for quantum processes.

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Area of Science:

  • Quantum Information Science
  • Quantum Dynamics
  • Open Quantum Systems

Background:

  • Understanding the fundamental limits on the speed of quantum evolution is crucial for quantum information processing.
  • Previous work established quantum speed limits for closed systems, but limits for open systems were less understood.

Purpose of the Study:

  • To derive a general bound on the minimal evolution time for arbitrarily driven open quantum systems.
  • To investigate the role of non-unitary dynamics and non-Markovian effects on quantum speed limits.

Main Methods:

  • Derivation of a Margolus-Levitin-type bound using the operator norm of the nonunitary generator of the system's dynamics.
  • Application and validation of the derived bound to the damped Jaynes-Cummings model.

Main Results:

  • A novel quantum speed limit bound for open quantum systems was established.
  • The bound was shown to be tight for the damped Jaynes-Cummings model.
  • Non-Markovian effects were demonstrated to accelerate quantum evolution, leading to a reduced quantum speed limit time.

Conclusions:

  • The derived bound provides a fundamental limit on the evolution time for open quantum systems.
  • Non-Markovian dynamics offer a pathway to faster quantum state transformations.
  • This work has implications for optimizing quantum control and computation in realistic, noisy environments.