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Un Eigensolver Cuántico Variable Basado en el Esquema de Medición Adaptado a Simulaciones de Enlace Estrecho

Dongkeun Lee1, Hoon Ryu2

  • 1Center for Quantum Information R&D, Korea Institute of Science and Technology Information, Daejeon 34141, Republic of Korea.

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|August 26, 2025
PubMed
Resumen

Desarrollamos un esquema variational quantum eigensolver (VQE) rentable para simulaciones atómicas utilizando la teoría de unión apretada. Este método mejora la eficiencia computacional para los cálculos de la estructura electrónica en comparación con las técnicas existentes.

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Área de la Ciencia:

  • La computación cuántica
  • Física computacional
  • Ciencias de los materiales

Sus antecedentes:

  • Los cálculos precisos de la estructura electrónica son cruciales para la ciencia de los materiales.
  • El Variational Quantum Eigensolver (VQE) es un algoritmo cuántico prometedor para tales tareas.
  • Los métodos actuales de EQV se enfrentan a desafíos en la eficiencia computacional para sistemas grandes.

Objetivo del estudio:

  • Proponer un esquema de medición rentable para la EQV en simulaciones atómicas.
  • Mejorar la eficiencia computacional de la EQV para los cálculos de la estructura electrónica.
  • Proporcionar una guía práctica para las simulaciones de unión apretada (TB) en dispositivos cuánticos.

Principales métodos:

  • Construyendo un Hamiltoniano TB disperso usando geometría de celosía de abajo hacia arriba.
  • Representación del hamiltoniano como una combinación lineal de operadores de base estándar (SB).
  • Emplear un circuito de medición extendido de Bell para la medición simultánea de múltiples operadores SB para reducir el número de circuitos.

Principales resultados:

  • El esquema VQE propuesto determina con precisión las energías de brecha de banda de las supercélulas de haluro metálico y perovskita.
  • El esquema demuestra una eficiencia computacional superior en comparación con los métodos de agrupación de Pauli basados en la conmutatividad.
  • Aplicado con éxito VQE a las estructuras atómicas confinadas tridimensionales.

Conclusiones:

  • El esquema de medición VQE desarrollado ofrece un enfoque rentable para las simulaciones atómicas.
  • Este método mejora significativamente la eficiencia computacional para las simulaciones de TB.
  • El trabajo proporciona un marco práctico para los cálculos de matriz hermética en dispositivos NISQ.