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Experimental realization of a one-way quantum computer algorithm solving Simon's problem.

M S Tame1, B A Bell2, C Di Franco3

  • 1University of KwaZulu-Natal, School of Chemistry and Physics, Durban 4001, South Africa and National Institute for Theoretical Physics, University of KwaZulu-Natal, Durban 4001, South Africa.

Physical Review Letters
|November 29, 2014
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This summary is machine-generated.

Researchers experimentally demonstrated a one-way quantum computing approach to solve Simon's problem, a task with a significant quantum-classical runtime gap. This breakthrough validates quantum algorithms for complex problems.

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Area of Science:

  • Quantum Computing
  • Quantum Algorithms
  • Quantum Information Science

Background:

  • Simon's problem is a black-box period-finding problem exhibiting an exponential gap between classical and quantum computational complexity.
  • Understanding and demonstrating quantum algorithms that exploit this gap is crucial for advancing quantum computing capabilities.

Purpose of the Study:

  • To experimentally demonstrate a one-way implementation of a quantum algorithm for solving Simon's problem.
  • To validate the practical feasibility of one-way quantum computing for complex algorithmic tasks.
  • To analyze resource requirements for scaling the demonstrated algorithm to larger qubit systems.

Main Methods:

  • Utilized an all-optical setup for the experimental demonstration.
  • Employed a five-qubit cluster state as the quantum resource.
  • Modified single-qubit measurement bases to query and solve representative functions of the logical two-qubit version's black box.

Main Results:

  • Successfully demonstrated the first experimental realization of a quantum algorithm solving Simon's problem.
  • Achieved excellent agreement between experimental results and theoretical predictions, confirming algorithm performance.
  • Analyzed resource requirements for an n-qubit version, providing insights for future scalability.

Conclusions:

  • The experimental demonstration confirms the efficacy of one-way quantum computing for solving Simon's problem.
  • This work establishes a practical pathway for experimentally investigating quantum-classical gaps in query complexity.
  • The findings pave the way for exploring more complex quantum algorithms and larger-scale quantum systems.