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Implementing graph-theoretic quantum algorithms on a silicon photonic quantum walk processor.

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  • 1Institute for Quantum Information and State Key Laboratory of High Performance Computing, College of Computer Science and Technology, National University of Defense Technology, 410073 Changsha, China. qiangxiaogang@gmail.com caixlun5@mail.sysu.edu.cn junjiewu@nudt.edu.cn.

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Researchers developed a silicon photonics device for quantum walks, offering full control over particle properties and graph structures. This programmable quantum walk processor enables complex computations for classically intractable problems.

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Area of Science:

  • Quantum Information Science
  • Photonic Quantum Computing
  • Quantum Simulation

Background:

  • Quantum walk applications are constrained by particle number, symmetry, indistinguishability, and graph topology.
  • Existing quantum walk implementations often lack full control over these crucial parameters.
  • Developing programmable quantum devices is essential for advancing quantum computation.

Purpose of the Study:

  • To demonstrate a silicon photonics device for realizing quantum walks with tunable properties.
  • To achieve full control over particle number, exchange symmetry, and indistinguishability in quantum walks.
  • To explore the application of this device in quantum algorithms and simulations.

Main Methods:

  • Utilized an entanglement-driven scheme in silicon photonics to implement two-photon quantum walks.
  • Developed a device capable of simulating quantum walks on any five-vertex graph.
  • Continuously tuned particle exchange symmetry and indistinguishability to control walk properties.

Main Results:

  • Successfully implemented entangled two-photon quantum walks with full control over particle properties.
  • Demonstrated the simulation of single-particle walks on larger, controlled graphs.
  • Applied the device to quantum walk algorithms for graph searching and isomorphism testing, simulating 100 time steps on 292 graphs.

Conclusions:

  • The developed silicon photonics device offers unprecedented control over quantum walk parameters.
  • This work paves the way for large-scale, programmable quantum walk processors.
  • Enables tackling classically intractable problems through advanced quantum walk simulations and algorithms.