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Optimal Probabilistic Storage and Retrieval of Unitary Channels.

Michal Sedlák1,2, Alessandro Bisio3, Mário Ziman1,2

  • 1RCQI, Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 84511 Bratislava, Slovakia.

Physical Review Letters
|May 21, 2019
PubMed
Summary
This summary is machine-generated.

This study presents an optimal protocol for quantum memory storage, improving storage efficiency for quantum dynamics. The new method enhances retrieval success probability for unknown unitary gates, advancing quantum information processing.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Dynamics

Background:

  • Quantum memory is crucial for storing and processing quantum information.
  • Efficient storage and retrieval of quantum operations (unitary channels) are key challenges.
  • Existing protocols for probabilistic storage have limitations in efficiency and resource requirements.

Purpose of the Study:

  • To design an optimal protocol for N-to-1 probabilistic storage and retrieval of unitary channels.
  • To determine the optimal success probability for retrieving an unknown unitary gate accessed N times.
  • To establish bounds on the memory system size required for probabilistic programmable quantum processors.

Main Methods:

  • Development of a novel protocol for probabilistic storage and retrieval.
  • Mathematical analysis of success probability for single-use retrieval of unitary channels.
  • Derivation of the memory system size requirements based on the protocol.

Main Results:

  • An optimal protocol for N→1 probabilistic storage and retrieval of unitary channels on d-dimensional quantum systems is designed.
  • The optimal success probability for perfect single-use retrieval of an unknown unitary gate accessed N times is N/(N-1+d²).
  • The derived memory system size offers an exponential improvement over known upper bounds for probabilistic programmable quantum processors.

Conclusions:

  • The proposed protocol significantly enhances the efficiency of quantum memory for storing quantum dynamics.
  • Results provide a theoretical foundation for more efficient probabilistic programmable quantum processors.
  • The work connects to advancements in probabilistic alignment of reference frames and port-based teleportation.