O vidro da janela, no nível microscópico, apresenta uma estranha mistura de propriedades. Tal como um líquido, os seus átomos estão desordenados, mas tal como um sólido, os seus átomos são rígidos, pelo que uma força aplicada a um átomo faz com que..
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)
Instantâneos de estados quânticos típicos de longo tempo para um tamanho de sistema 36×36 para diferentes valores de p1,p2. (a) p1 = 0,25, p2 = 0,5, (b) p1 = 0,5, p2 = 0,5, (c) p1 = 0,75, p2 = 0,5, (d) p1 = 0,25, p2 = 0,02, (e) p1 = 0,5 , p2=0,02 e (f) p1=0,75, p2=0,02. Cada célula colorida representa um único giro. Os glóbulos brancos não possuem estabilizadores Z de curto alcance passando por eles e, portanto, são correlacionados X entre si. As células pretas não têm estabilizadores X de curto alcance passando por elas e são correlacionadas com Z. As células cinzentas possuem estabilizadores X e Z de curto alcance. Embora esta coloração capte todas as correlações de longo alcance, pode haver correlações adicionais de curto alcance. Crédito: Revisão Física B (2023). DOI: 10.1103/PhysRevB.108.024205
O vidro da janela, no nível microscópico, apresenta uma estranha mistura de propriedades. Tal como um líquido, os seus átomos estão desordenados, mas tal como um sólido, os seus átomos são rígidos, pelo que uma força aplicada a um átomo faz com que todos eles se movam.
É uma analogia que os físicos usam para descrever um estado quântico chamado "vidro de spin quântico", no qual bits da mecânica quântica (qubits) em um computador quântico demonstram desordem (assumindo valores aparentemente aleatórios) e rigidez (quando um qubit vira, então fazer todos os outros). Uma equipe de pesquisadores da Cornell descobriu inesperadamente a presença desse estado quântico enquanto conduzia um projeto de pesquisa projetado para aprender mais sobre algoritmos quânticos e, relacionado, novas estratégias para correção de erros na computação quântica.
"Medir a posição de uma partícula quântica altera seu momento e vice-versa. Da mesma forma, para qubits existem quantidades que mudam umas às outras quando são medidas. Descobrimos que certas sequências aleatórias dessas medições incompatíveis levam à formação de um spin quântico. vidro", disse Erich Mueller, professor de física na Faculdade de Artes e Ciências (A&S). “Uma implicação do nosso trabalho é que alguns tipos de informação são automaticamente protegidos em algoritmos quânticos que compartilham as características do nosso modelo”.
" Simetria de subsistema, ordem de vidro giratório e criticidade de medições aleatórias em um circuito Bacon-Shor bidimensional " publicado em 31 de julho na Physical Review B. O autor principal é Vaibhav Sharma, estudante de doutorado em física.
O professor assistente de física Chao-Ming Jian (A&S) é coautor junto com Mueller. Todos os três conduzem suas pesquisas no Laboratório de Física Atômica e do Estado Sólido (LASSP) da Cornell.
“Estamos tentando entender os recursos genéricos dos algoritmos quânticos – recursos que transcendem qualquer algoritmo específico ”, disse Sharma. "Nossa estratégia para revelar essas características universais foi estudar algoritmos aleatórios. Descobrimos que certas classes de algoritmos levam a uma ordem oculta de 'vidro giratório'. Estamos agora procurando outras formas de ordem oculta e pensamos que isso nos levará a um nova taxonomia de estados quânticos."
Algoritmos aleatórios são aqueles que incorporam um certo grau de aleatoriedade como parte do algoritmo – por exemplo, números aleatórios para decidir o que fazer a seguir.
A proposta de Mueller para o 2021 New Frontier Grant "Correção de erros de subsistema quântico autônomo" visava simplificar arquiteturas de computadores quânticos, desenvolvendo uma nova estratégia para corrigir erros de processador quântico causados por ruído ambiental - isto é, qualquer fator, como raios cósmicos ou campos magnéticos , isso interferiria nos qubits de um computador quântico, corrompendo informações.
Os bits dos sistemas de computador clássicos são protegidos por códigos de correção de erros, disse Mueller; as informações são replicadas para que, se um bit "virar", você possa detectá-lo e corrigir o erro. “Para que a computação quântica seja viável agora e no futuro, precisamos encontrar maneiras de proteger os qubits da mesma maneira.”
"A chave para a correção de erros é a redundância”, disse Mueller. “Se eu enviar três cópias de um bit, você pode saber se há um erro comparando os bits entre si. Tomamos emprestada a linguagem da criptografia para falar sobre tais estratégias e nos referimos ao conjunto repetido de bits como uma 'palavra-código'. "
Quando fizeram a descoberta sobre a ordem do spin-glass, Mueller e sua equipe estavam investigando uma generalização, onde múltiplas palavras-código são usadas para representar a mesma informação. Por exemplo, num código de subsistema, o bit “1” pode ser armazenado de 4 maneiras diferentes: 111; 100; 101; e 001.
“A liberdade extra que se tem nos códigos do subsistema quântico simplifica o processo de detecção e correção de erros”, disse Mueller.
Os pesquisadores enfatizaram que não estavam simplesmente tentando gerar um esquema melhor de proteção contra erros quando iniciaram esta pesquisa. Em vez disso, eles estavam estudando algoritmos aleatórios para aprender as propriedades gerais de todos esses algoritmos.
“Curiosamente, encontramos uma estrutura não trivial”, disse Mueller. "O mais dramático foi a existência desta ordem spin-glass, que aponta para a existência de alguma informação extra escondida flutuando, que deveria ser utilizável de alguma forma para a computação, embora ainda não saibamos como."
Mais informações: Vaibhav Sharma et al, Simetria de subsistema, ordem spin-glass e criticidade de medições aleatórias em um circuito Bacon-Shor bidimensional, Physical Review B (2023). DOI: 10.1103/PhysRevB.108.024205
Informações do periódico: Revisão Física B