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<p>We propose an experimental scheme that realizes several Boolean operations nonlocally and simultaneously by exploiting the transverse spatial degrees of freedom (TSDF) of photon pairs generated via spontaneous parametric down-conversion (SPDC). Binary information is encoded as matrices in the TSDF using Digital Micromirror Devices (DMDs) placed in the signal and idler beams. The coincidence counting rate for corresponding matrix elements yields the results of six different Boolean operations. We illustrate a possible implementation, discussing its energy costs and finding its capability to process 25 operations in parallel with only a few hundred photons.</p>

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Two-Photon Optical Boolean Processor

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年6月16日

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  • M. G. Damaceno,
  • R. C. Souza Pimenta,
  • L. Marques Fagundes,
  • R. Medeiros de Araújo,
  • N. Rubiano da Silva,
  • P. H. Souto Ribeiro

摘要

We propose an experimental scheme that realizes several Boolean operations nonlocally and simultaneously by exploiting the transverse spatial degrees of freedom (TSDF) of photon pairs generated via spontaneous parametric down-conversion (SPDC). Binary information is encoded as matrices in the TSDF using Digital Micromirror Devices (DMDs) placed in the signal and idler beams. The coincidence counting rate for corresponding matrix elements yields the results of six different Boolean operations. We illustrate a possible implementation, discussing its energy costs and finding its capability to process 25 operations in parallel with only a few hundred photons.