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Related Experiment Videos

Constructive Method for Detecting the Information Backflow of Non-Markovian Dynamics.

Bogna Bylicka1,2, Markus Johansson1, Antonio Acín1,3

  • 1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.

Physical Review Letters
|April 8, 2017
PubMed
Summary

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Quantum Markovianity is characterized by divisibility and the absence of information backflow. This study proves these two approaches are equivalent for bijective dynamical maps, offering a new way to detect non-Markovianity.

Area of Science:

  • Quantum Information Theory
  • Quantum Dynamics
  • Open Quantum Systems

Background:

  • Characterizing quantum Markovianity is crucial for understanding open quantum systems.
  • Two key approaches include the concept of divisibility of dynamical maps and the absence of information backflow.
  • The relationship between these two characterizations has remained an active area of research.

Purpose of the Study:

  • To investigate and establish the precise relationship between quantum Markovianity, characterized by divisibility, and the lack of information backflow.
  • To provide a constructive proof for the equivalence between these two approaches.
  • To explore the role of ancillas and entanglement in witnessing non-Markovianity.

Main Methods:

  • Analysis of bijective dynamical maps.

Related Experiment Videos

  • Utilizing the concept of distinguishability between quantum states.
  • Constructive proof involving the explicit construction of specific quantum states.
  • Investigation using an ancilla system, with and without entanglement.

    • Main Results:

    • A bijective dynamical map is completely positive divisible if and only if monotonic nonincrease of distinguishability is observed for two equiprobable states (system and ancilla).
    • A constructive method is provided to identify states exhibiting information backflow for non-completely positive divisible maps.
    • The equivalence holds generally with an ancilla, but non-Markovianity of bijective maps can be witnessed without entanglement.

    Conclusions:

    • The study establishes a direct and constructive equivalence between divisibility and the absence of information backflow for quantum Markovianity.
    • The findings offer a practical tool for detecting non-Markovian dynamics in quantum systems.
    • It is possible to detect non-Markovianity in bijective maps even without relying on entanglement with an ancilla.