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Un enfoque computacionalmente eficiente para la reconstrucción del estado cuántico utilizando sombras clásicas

Sanjay Sharma1, Shyam Akashe2, Govind Murari Upadhyay3

  • 1Thapar Institute of Engineering and Technology, Patiala, Punjab, India.

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|February 2, 2026
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Resumen
Este resumen es generado por máquina.

Las sombras clásicas ofrecen un método eficiente para la reconstrucción del estado cuántico, reduciendo la complejidad de la medición. Esta técnica estima con precisión los estados cuánticos, como los estados de Bell, con alta fidelidad, incluso en hardware ruidoso.

Palabras clave:
sombras clásicasreconstrucción de estados cuánticostomografía cuánticacomputación cuánticaestados de Bell

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Área de la Ciencia:

  • Ciencia de la Información Cuántica
  • Computación Cuántica
  • Medición Cuántica

Sus antecedentes:

  • La tomografía de estados cuánticos es esencial para caracterizar sistemas cuánticos, pero enfrenta desafíos de escalabilidad.
  • Las sombras clásicas proporcionan una representación comprimida del estado cuántico utilizando mediciones aleatorias.
  • Este método reduce la complejidad de la medición en comparación con la tomografía cuántica completa.

Objetivo del estudio:

  • Investigar las sombras clásicas como una alternativa eficiente para la reconstrucción de estados cuánticos.
  • Evaluar la fidelidad y precisión de las sombras clásicas en la estimación de un estado de Bell.
  • Demostrar la escalabilidad y viabilidad de la tomografía de sombras superficial para hardware cuántico ruidoso.

Principales métodos:

  • Se utilizó un circuito cuántico para generar un estado de Bell.
  • Se recolectaron 1000 instantáneas para construir la sombra clásica.
  • Las matrices de densidad reconstruidas se evaluaron utilizando métricas de fidelidad y diferencia de norma.

Principales resultados:

  • La fidelidad de la reconstrucción se estabilizó alrededor de 0.98-1.0 a medida que aumentaba el número de instantáneas.
  • La diferencia de norma disminuyó, lo que indica la convergencia hacia el estado de Bell ideal.
  • La tomografía de sombras superficial demostró hasta cinco veces el ahorro de mediciones en experimentos.

Conclusiones:

  • Las sombras clásicas proporcionan un método eficiente y preciso para la estimación de estados cuánticos.
  • La técnica es escalable y efectiva incluso con un número limitado de instantáneas.
  • La tomografía de sombras superficial muestra una gran promesa para caracterizar estados cuánticos en procesadores cuánticos ruidosos.