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Bell's inequalities and quantum communication complexity.

Caslav Brukner1, Marek Zukowski, Jian-Wei Pan

  • 1Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria.

Physical Review Letters
|April 20, 2004
PubMed
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Quantum mechanics enables more efficient communication protocols by violating Bell's inequalities. This violation is the key condition for quantum advantage over classical communication complexity problems.

Area of Science:

  • Quantum Information Theory
  • Quantum Computing
  • Foundations of Physics

Background:

  • Bell's inequalities are fundamental tests in quantum mechanics.
  • Quantum protocols can outperform classical ones in certain tasks.
  • The precise conditions for quantum advantage are actively researched.

Purpose of the Study:

  • To establish a universal link between Bell's inequality violation and quantum communication advantage.
  • To demonstrate that violating any Bell's inequality guarantees a quantum computational speedup.
  • To identify the necessary and sufficient conditions for quantum protocols to outperform classical ones.

Main Methods:

  • Establishing a correspondence between Bell's inequalities and communication complexity problems.

Related Experiment Videos

  • Analyzing the efficiency of quantum protocols assisted by entangled states.
  • Comparing quantum protocol efficiency against classical protocol limitations.

    • Main Results:

    • For every Bell's inequality, a corresponding communication complexity problem exists.
    • Protocols using states that violate Bell's inequalities are more efficient than classical protocols.
    • Violation of Bell's inequalities is proven to be both necessary and sufficient for quantum advantage.

    Conclusions:

    • Quantum advantage in communication complexity is universally achievable by violating Bell's inequalities.
    • This finding provides a clear criterion for identifying tasks where quantum computation offers a significant advantage.
    • The research deepens our understanding of the operational meaning of Bell's inequalities.