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Un algoritmo de evolución adiabática cuántica aplicado a instancias aleatorias de un problema NP-completo
E Farhi1, J Goldstone, S Gutmann
1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA. farhi@mit.edu
Science (New York, N.Y.)
|April 21, 2001
Resumen
Los algoritmos adiabáticos cuánticos aprovechan la lenta evolución hamiltoniana para la computación. Las pruebas sobre problemas NP-completos son prometedoras para las computadoras cuánticas que superan a las clásicas en tareas complejas.
Área de la Ciencia:
- La física cuántica es la física cuántica.
- Ciencias de la computación Ciencias de la computación.
- Desarrollo de algoritmos de desarrollo.
Sus antecedentes:
- Los sistemas cuánticos permanecen naturalmente en su estado fundamental si el hamiltoniano gobernante cambia lentamente.
- Este principio, conocido como comportamiento adiabático cuántico, constituye la base para nuevos algoritmos de computación cuántica.
Objetivo del estudio:
- Para evaluar la eficacia de un algoritmo adiabático cuántico.
- Para probar su rendimiento en instancias difíciles de problemas NP-completos.
Principales métodos:
- El estudio aplicó un algoritmo adiabático cuántico a instancias generadas al azar y difíciles de un problema NP-completo.
- Se realizaron simulaciones para ejemplos a pequeña escala.
Principales resultados:
- El algoritmo adiabático cuántico demostró un rendimiento exitoso en las instancias probadas.
- Los resultados sugieren ventajas potenciales sobre las computadoras clásicas para problemas computacionales específicos.
Conclusiones:
- Los algoritmos adiabáticos cuánticos son prometedores para resolver problemas computacionales complejos.
- Los hallazgos proporcionan evidencia del potencial de las computadoras cuánticas para superar a las computadoras clásicas para abordar problemas difíciles NP-completos, dependiendo del desarrollo de hardware cuántico a gran escala.
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