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Summary
This summary is machine-generated.

Quantum processes can be divisible yet non-Markovian, challenging common assumptions. This study classifies these non-Markovian temporal correlations using the process tensor formalism.

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Area of Science:

  • Quantum mechanics
  • Quantum information theory
  • Statistical physics

Background:

  • Divisibility in classical stochastic processes does not imply Markovianity.
  • Quantum process divisibility is frequently equated with Markovianity.
  • A gap exists in understanding quantum process temporal correlations.

Purpose of the Study:

  • To investigate whether quantum divisibility implies Markovianity.
  • To characterize non-Markovian temporal correlations in divisible quantum processes.
  • To apply the process tensor formalism to quantum process analysis.

Main Methods:

  • Analysis of completely positive divisible quantum processes.
  • Application of the process tensor formalism.
  • Classification of temporal correlations in quantum dynamics.

Main Results:

  • Demonstration that completely positive divisible quantum processes can exhibit non-Markovian temporal correlations.
  • Full classification of these non-Markovian correlations was achieved.
  • The process tensor formalism proved effective for quantum process generalization.

Conclusions:

  • Quantum process divisibility is not synonymous with Markovianity.
  • Non-Markovian temporal correlations are present in divisible quantum systems.
  • The process tensor formalism offers a robust framework for analyzing quantum processes.