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Transformaciones de Fourier inspiradas en el Quantum basadas en circuitos

Hanxu Zhang1, Yifan Sun1, Xiangdong Zhang1

  • 1Key Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, Beijing, 100081, China.

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Resumen
Este resumen es generado por máquina.

Un nuevo esquema de circuito clásico ofrece cálculos de la transformada de Fourier (FT) tan rápido como los algoritmos cuánticos de FT. Este avance en el procesamiento de señales evita entornos cuánticos especializados, lo que permite aplicaciones más amplias.

Palabras clave:
Transformación de FourierPuertas de circuitoredes de circuitos clásicosalgoritmo cuánticoProcesamiento de señales

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Área de la Ciencia:

  • Ingeniería eléctrica
  • La computación cuántica
  • Procesamiento de señales

Sus antecedentes:

  • La transformación de Fourier (FT) es crucial en la ciencia y la ingeniería.
  • Mejorar la velocidad de FT es vital para el procesamiento de señales.
  • Quantum FT ofrece ventajas de velocidad pero requiere entornos especializados.

Objetivo del estudio:

  • Desarrollar un esquema clásico de FT basado en circuitos.
  • Para lograr velocidades de cálculo FT comparables a las FT cuánticas.
  • Permitir una adopción más amplia de las FT de alta velocidad.

Principales métodos:

  • Diseñó un esquema de circuito clásico inspirado en el FT cuántico.
  • Construyó una nueva correlación clásica análoga al entrelazamiento cuántico.
  • Puertas clásicas básicas fabricadas que emulan las funciones de puertas cuánticas.

Principales resultados:

  • El esquema de circuito alcanza velocidades de cálculo FT equivalentes a los algoritmos cuánticos FT.
  • Este enfoque clásico es más rápido que los algoritmos FT rápidos clásicos.
  • Demostración experimental de las eficiencias de cálculo de FT rápidas utilizando redes de circuitos clásicos.

Conclusiones:

  • El esquema de FT de circuito clásico desarrollado proporciona una alternativa viable y de alta velocidad a la FT cuántica.
  • Este método evita la necesidad de hardware cuántico especializado.
  • Se anticipan amplias aplicaciones en el procesamiento de señales y más allá.