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Quantum communication complexity of establishing a shared reference frame.

Terry Rudolph1, Lov Grover

  • 1Bell Labs, 600 Mountain Avenue, Murray Hill, New Jersey 07974, USA.

Physical Review Letters
|December 20, 2003
PubMed
Summary
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This study introduces a quantum communication protocol for aligning spatial reference frames using spin-1/2 particles. The method avoids entanglement and joint measurements, achieving high fidelity in direction finding.

Area of Science:

  • Quantum Information Science
  • Quantum Communication Complexity
  • Quantum Algorithms

Background:

  • Aligning spatial reference frames is crucial in various scientific and technological applications.
  • Quantum communication offers novel approaches to distributed tasks.
  • Understanding communication complexity is key to designing efficient quantum protocols.

Purpose of the Study:

  • To explore the alignment of spatial reference frames using quantum communication complexity.
  • To develop an explicit quantum protocol for spatial axis alignment.
  • To analyze tradeoffs between communication rounds and communication types.

Main Methods:

  • Utilizing a distributed variant of a quantum computational algorithm.
  • Employing the exchange of spin-1/2 particles for communication.

Related Experiment Videos

  • Analyzing communication complexity with multiple rounds.
  • Main Results:

    • An explicit protocol for aligning spatial axes without using entangled states or joint measurements.
    • Demonstration of tradeoffs between communication rounds and communication types.
    • Achieving a worst-case fidelity for direction finding asymptotically equivalent to optimal average-case fidelity.

    Conclusions:

    • The proposed quantum protocol offers an efficient method for spatial reference frame alignment.
    • This work highlights the potential of quantum communication complexity in solving distributed problems.
    • The protocol provides a practical alternative to methods requiring entanglement or joint measurements.