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)
O computador Google Quantum. Crédito: Google Quantum AI
Pesquisadores liderados pelo fasico Pouyan Ghaemi do City College de Nova York relatam o desenvolvimento de um algoritmo qua¢ntico com potencial para estudar uma classe de sistema qua¢ntico de muitos elanãtrons usando computadores qua¢nticos. Seu artigo, intitulado "Criando e manipulando um Laughlin-Type ν = 1/3 Fractional Quantum Hall State em um computador qua¢ntico com circuitos de profundidade linear", aparece na edição de dezembro de PRX Quantum , um jornal da American Physical Society.
"A física qua¢ntica éa teoria fundamental da natureza que leva a formação de moléculas e da matéria resultante ao nosso redor", disse Ghaemi, professor assistente na Divisão de Ciência do CCNY. "Já se sabe que quando temos um número macrosca³pico departículas qua¢nticas, como os elanãtrons do metal, que interagem entre si, surgem novos fena´menos como a supercondutividade."
"Eu acredito que a aplicação direta de nossos resultados éfornecer ferramentas para melhorar os dispositivos de computação qua¢ntica . Sua aplicação direta na vida real surgiria quando os computadores qua¢nticos pudessem ser usados ​​para aplicações da vida dia¡ria."
No entanto, atéagora, de acordo com Ghaemi, as ferramentas para estudar sistemas com um grande número departículas qua¢nticas em interação e suas novas propriedades eram extremamente limitadas.
"Nossa pesquisa desenvolveu um algoritmo qua¢ntico que pode ser usado para estudar uma classe de sistemas qua¢nticos de muitos elanãtrons usando computadores qua¢nticos. Nosso algoritmo abre um novo local para usar os novos dispositivos qua¢nticos para estudar problemas que são bastante desafiadores de estudar usando computadores cla¡ssicos . Nossos resultados são novos e motivam muitos estudos de acompanhamento ", acrescentou Ghaemi.
Sobre possaveis aplicações para este avanço, Ghaemi, que também éafiliado ao Centro de Pa³s-Graduação, CUNY observou: "Computadores qua¢nticos testemunharam extensos desenvolvimentos durante os últimos anos. O desenvolvimento de novos algoritmos qua¢nticos, independentemente de sua aplicação direta, contribuira¡ para realizar aplicações de computadores qua¢nticos.
"Eu acredito que a aplicação direta de nossos resultados éfornecer ferramentas para melhorar os dispositivos de computação qua¢ntica . Sua aplicação direta na vida real surgiria quando os computadores qua¢nticos pudessem ser usados ​​para aplicações da vida dia¡ria."