No futuro, o recente estudo realizado por essa equipe de pesquisadores podera¡ abrir caminho para novas pesquisas avaliando os fundamentos da física qua¢ntica, principalmente em redes qua¢nticas.
![](data:image/jpeg;base64,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)
Zheng-Da Li e Ya-Li Mao preparando o experimento. Crédito: Li et al.
A teoria qua¢ntica foi originalmente formulada usando números complexos. No entanto, ao responder a uma carta de Hendrik Lorenz, Erwin Schra¶dinger (um de seus fundadores), escreveu: "Usar números complexos na teoria qua¢ntica édesagrada¡vel e deve ser contestado. A função de onda écertamente fundamentalmente uma função real."
Nos últimos anos, os cientistas descartaram com sucesso qualquer explicação de varia¡vel oculta local da teoria qua¢ntica usando testes de Bell. Posteriormente, tais testes foram generalizados para uma rede com maºltiplas varia¡veis ​​ocultas independentes. Em tal rede qua¢ntica, a teoria qua¢ntica com apenas números reais, ou "teoria qua¢ntica real", e a teoria qua¢ntica padrãofazem previsaµes quantitativamente diferentes em alguns cenários, permitindo testes experimentais da validade da teoria qua¢ntica real.
Pesquisadores da Southern University of Science and Technology na China, da Academia Austraaca de Ciências e de outros institutos em todo o mundo adaptaram recentemente um desses testes para que possam ser implementados em sistemas fota´nicos de última geração. Seu artigo, publicado na Physical Review Letters , demonstra experimentalmente a existaªncia de correlações qua¢nticas em uma rede a³ptica que não pode ser explicada pela teoria qua¢ntica real.
“Desde os primeiros dias da teoria qua¢ntica, os números complexos eram tratados mais como uma conivaªncia matemática do que um bloco de construção fundamentalâ€, disse Zizhu Wang, um dos pesquisadores que realizaram o estudo, ao Phys.org. "O debate geral sobre o papel dos números complexos na teoria qua¢ntica continuou atéo presente."
Na década de 1960, o fasico suiço Ernst Stueckelberg e seus colegas formularam com sucesso a teoria qua¢ntica em Espaços reais de Hilbert. Embora este tenha sido um marco importante na área, sua formulação não utilizou o renomado, chamado "produto tensor" para compor os diferentes sistemas. Isso significa essencialmente que sua formulação não éconsistente com o que éconhecido como "teoria qua¢ntica real".
“O interesse nesta questãofoi revivido quando comea§amos a olhar para a teoria qua¢ntica de uma perspectiva da teoria da informaçãoâ€, explicou Wang. "Algumas teorias probabilasticas generalizadas (GPTs), formuladas usando apenas números reais, acabam sendo tão poderosas quanto a teoria qua¢ntica em algumas tarefas de processamento de informações e atésuperam a teoria qua¢ntica em outras. Mesmo sabendo que as GPTs contem correlações além da teoria qua¢ntica, não tanhamos as ferramentas para descartar definitivamente a teoria qua¢ntica real como uma alternativa via¡vel a teoria qua¢ntica complexa, atéagora."
Â
O artigo recente de Fan e seus colegas inspira-se em um debate de longa data no campo da física, a saber, o referente a existaªncia de varia¡veis ​​ocultas locais na teoria qua¢ntica. Os fasicos Albert Einstein, Boris Podolsky e Nathan Rosen colocaram esta importante questãoem um de seus artigos seminais, publicado em 1935. existem varia¡veis ​​ocultas.
“Em 1964, John Bell teve a ideia revoluciona¡ria de usar funções de correlação de probabilidades, que podem ser testadas e analisadas em laboratório, para inferir propriedades subjacentes de sistemas fasicosâ€, disse Jingyun Fan, outro pesquisador envolvido no estudo, a Phys. .org. "Levou mais 50 anos para finalmente resolver esse debate e descartar sistematicamente explicações de varia¡veis ​​ocultas locais da teoria qua¢ntica".
Embora tenha sido aplicado com sucesso em muitos estudos, o teorema de Bell sozinho não époderoso o suficiente para prever com precisão as diferenças entre teorias qua¢nticas reais e complexas. Em seu estudo recente, Fan e seus colegas conseguiram avaliar essas diferenças considerando uma rede qua¢ntica com várias fontes independentes.
"Recentemente, uma equipe de teóricos, incluindo Miguel Navascuanãs, Mirjam Weilenmann, Armin Tavakoli, David Trillo e Thinh P. Le de Viena, Antonio Acan, Marc-Olivier Renou de Barcelona e Nicolas Gisin de Genebra, percebeu que uma generalização natural de Bell teste em uma rede pode distinguir a teoria qua¢ntica complexa da teoria qua¢ntica real", disse Fan. "Em uma rede em que as partes estãoconectadas atravanãs de várias fontes independentes de emaranhamento, a teoria qua¢ntica real não concorda com todas as previsaµes da teoria qua¢ntica complexa. Isso abre caminho para a distinção experimental entre as duas teorias em uma rede qua¢ntica baseada em fontes de emaranhamento independentes."
Para implementar e testar a teoria desenvolvida por Navascuanãs e seus colegas em um ambiente experimental, os pesquisadores usaram uma rede qua¢ntica a³ptica de última geração. Um pressuposto chave da teoria éa independaªncia de fonte, o que implica que a rede analisada deve consistir em fontes de emaranhamento independentes, produzindo pares de estados emaranhados.
A teoria sugere que, quando essa suposição não éatendida, as previsaµes se tornam inva¡lidas. Para garantir que isso fosse atendido em seus experimentos, Fan e seus colegas usaram uma rede fota´nica na qual as fontes de fa³tons emaranhados são fisicamente separadas.
"Outro desafio experimental éque o sistema experimental deve ser limpo com muito pouco ruado", disse Fan. "Uma equipe de cientistas, incluindo Zhengda Li, Yali Mao, Hu Chen, Lixin Feng, Shengjun Yang e eu da Southern University of Science and Technology em Shenzhen e Zizhu Wang da University of Electronic Science and Technology of China em Chengdu, a cidade famosa por seus pandas, superou esses desafios", disse Fan. "Construamos um experimento de rede qua¢ntica com duas fontes independentes de emaranhamento e três partes (ou seja, Alice, Bob e Charlie) e observamos correlações violando as restrições da teoria qua¢ntica real por mais de 4,5 desvios padra£o."
Em contraste com o teste experimental realizado por Fan e seus colegas, os testes padrãobaseados na teoria de Bell empregam apenas uma única fonte de emaranhamento e consideram duas partes (ou seja, Alice e Bob). Seu cena¡rio experimental permitiu que os pesquisadores superassem os desafios associados aos testes padrãobaseados em teoremas de Bell e testassem efetivamente as diferenças entre teorias qua¢nticas reais e complexas.
“Nosso experimento necessariamente refuta a teoria qua¢ntica real como uma teoria física universal, mostrando claramente que nem todas as previsaµes baseadas na teoria qua¢ntica padrãocom números complexos podem ser modeladas pelo ana¡logo do número real da teoria qua¢ntica padra£oâ€, disse Fan. "Portanto, os números complexos são fundamentais para a teoria qua¢ntica ."
No futuro, o recente estudo realizado por essa equipe de pesquisadores podera¡ abrir caminho para novas pesquisas avaliando os fundamentos da física qua¢ntica, principalmente em redes qua¢nticas. Em última análise, isso poderia permitir o desenvolvimento de novas tecnologias e aplicações qua¢nticas inovadoras, já que o teorema de Bell éamplamente utilizado na ciência da informação qua¢ntica.
“Embora a não localidade de Bell de um sistema bipartido já seja contraintuitivo, a não localidade multipartida em nosso mundo de muitos corpos acaba sendo ainda mais: as correlações da natureza são infinitamente multipartidas não locaisâ€, acrescentou Fan. "Curiosamente, acabamos de desenvolver um teste do tipo Bell para não-localidade multipartida genuana na rede para mostrar que a natureza énão-local multipartida ilimitada e conduzimos o primeiro experimento."