A combinação de computação cla¡ssica e qua¢ntica abre portas para novas descobertas
Este novo manãtodo de computaa§a£o abre a porta para diferentes algoritmos e experimentos que aproximam os pesquisadores qua¢nticos de aplicações de curto prazo e descobertas da tecnologia.
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)
Domanio paºblico
Os pesquisadores descobriram um manãtodo de computação novo e mais eficiente para emparelhar a confiabilidade de um computador cla¡ssico com a força de um sistema qua¢ntico.
Este novo manãtodo de computação abre a porta para diferentes algoritmos e experimentos que aproximam os pesquisadores qua¢nticos de aplicações de curto prazo e descobertas da tecnologia.
"No futuro, os computadores qua¢nticos podem ser usados ​​em uma ampla variedade de aplicações, incluindo ajudar a remover dia³xido de carbono da atmosfera, desenvolver membros artificiais e projetar produtos farmacaªuticos mais eficientes", disse Christine Muschik, pesquisadora principal do Institute for Quantum Computing ( IQC) e um membro do corpo docente em física e astronomia na Universidade de Waterloo.
A equipe de pesquisa do IQC em parceria com a Universidade de Innsbruck éa primeira a propor a abordagem baseada em medição em um ciclo de feedback com um computador normal , inventando uma nova maneira de lidar com problemas de computação difacil. Seu manãtodo éeficiente em termos de recursos e, portanto, pode usar pequenos estados qua¢nticos porque são personalizados para tipos específicos de problemas.
A computação habrida, onde o processador de um computador normal e um coprocessador qua¢ntico são emparelhados em um loop de feedback, oferece aos pesquisadores uma abordagem mais robusta e flexavel do que tentar usar um computador qua¢ntico sozinho.
Enquanto os pesquisadores estãoatualmente construindo computadores habridos baseados em portas qua¢nticas, a equipe de pesquisa de Muschik estava interessada nas computações qua¢nticas que poderiam ser feitas sem portas. Eles projetaram um algoritmo no qual uma computação qua¢ntica cla¡ssica habrida érealizada por meio da execução de uma sequaªncia de medições em um estado qua¢ntico emaranhado.
A pesquisa tea³rica da equipe éuma boa notacia para desenvolvedores de software qua¢ntico e experimentalistas porque fornece uma nova maneira de pensar sobre algoritmos de otimização. O algoritmo oferece alta tolera¢ncia a erros, frequentemente um problema em sistemas qua¢nticos, e funciona para uma ampla gama de sistemas qua¢nticos, incluindo coprocessadores qua¢nticos fota´nicos.
A computação habrida éuma nova fronteira em aplicações qua¢nticas de curto prazo. Ao remover a dependaªncia de portas qua¢nticas, Muschik e sua equipe eliminaram a luta com recursos exigentes e delicados e, em vez disso, usando estados qua¢nticos emaranhados, eles acreditam que sera£o capazes de projetar ciclos de feedback que podem ser ajustados aos conjuntos de dados que os computadores estãopesquisando de maneira mais eficiente.
"Os computadores qua¢nticos tem potencial para resolver problemas que os supercomputadores não conseguem, mas ainda são experimentais e fra¡geis", disse Muschik.
O estudo, "Um regulador qua¢ntico variacional baseado em medição", que detalha o trabalho dos pesquisadores, foi publicado recentemente na revista Physical Review Letters .