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A scalable photonic computer solving the subset sum problem.

Xiao-Yun Xu1,2, Xuan-Lun Huang1,2, Zhan-Ming Li1,2

  • 1Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China.

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Summary
This summary is machine-generated.

This study introduces a photonic computer to solve the computationally hard subset sum problem (SSP). The novel chip-based approach offers significant speed advantages over conventional computers for complex calculations.

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Area of Science:

  • Quantum computing
  • Computational complexity
  • Photonics

Background:

  • The subset sum problem (SSP) is an NP-complete problem, posing significant computational challenges for classical computers.
  • Photons offer advantageous properties like high speed and low energy consumption, making them suitable for advanced computing tasks.

Purpose of the Study:

  • To develop and demonstrate a scalable, chip-based photonic computer for efficiently solving the SSP.
  • To explore the potential of photonic computing to overcome the limitations of conventional computing for intractable problems.

Main Methods:

  • Mapping the SSP onto a 3D waveguide network using femtosecond laser direct writing.
  • Utilizing photon behavior within the network for parallelized problem-solving.
  • Benchmarking performance against supercomputers for specific problem instances (successive primes).

Main Results:

  • The photonic computer successfully solves the SSP by enabling photons to search for solutions in parallel within the waveguide network.
  • Demonstrated superior time efficiency compared to supercomputers for the tested SSP instances.
  • Validated the capability of light-based computation for problems beyond the reach of classical algorithms.

Conclusions:

  • Photonic computing can address computational problems intractable for conventional computers.
  • The SSP serves as a valuable benchmark for comparing photonic and conventional computing advancements.
  • This work highlights the potential for achieving "photonic supremacy" in specific computational domains.