最近有人认为,鸽子洞原理,即如果三只鸽子被放进两个鸽子洞,那么至少有一个鸽子洞必须包含一只以上的鸽子,在量子系统中是违反的[Y。Aharonov等人,PNAS 113,532(2016)]。最近报道了这种效应的实验验证[M.- C. Chen等人,PNAS 116,1549(2019)]。在最近的另一项实验工作中,有人认为,观察到两个实体在不相遇的情况下交换属性[Z.- H. Liu等人,国家通信11,3006(2020)]。在这里,我们将所有这些建议和实验描述为简单的量子干涉效应,其中没有出现如此戏剧性的结论。除了揭开被引用的作品的一些结论的神秘面纱之外,我们还为这些治疗中存在的一些有趣的行为提供了物理见解。例如,我们将量子鸽子效应中的反常粒子行为与力的量子干涉联系起来。
英文摘要:
It was recently argued that the pigeonhole principle, which states that if three pigeons are put into two pigeonholes then at least one pigeonhole must contain more than one pigeon, is violated in quantum systems [Y. Aharonov et al., PNAS 113, 532 (2016)]. An experimental verification of this effect was recently reported [M.-C. Chen et al., PNAS 116, 1549 (2019)]. In another recent experimental work, it was argued that two entities were observed to exchange properties without meeting each other [Z.-H. Liu et al., Nat. Commun. 11, 3006 (2020)]. Here we describe all these proposals and experiments as simple quantum interference effects, where no such dramatic conclusions appear. Besides demystifying some of the conclusions of the cited works, we also present physical insights for some interesting behaviors present in these treatments. For instance, we associate the anomalous particles behaviors in the quantum pigeonhole effect to a quantum interference of force.
Coherence as a resource for $N$-box and quantum pigeonhole paradoxes
INL – International Iberian Nanotechnology Laboratory(国际伊比利亚纳米技术实验室);Institute of Theoretical Physics, Ulm University(乌尔姆大学理论物理研究所);Center for Integrated Quantum Science and Technology (IQST)(集成量子科学与技术中心);Instituto de Física, Universidade Federal Fluminense(弗鲁米嫩塞联邦大学物理研究所)
The quantum pigeonhole effect as a new form of Bell's theorem without inequality
Institute of Artificial Intelligence, Hefei Comprehensive National Science Center(合肥综合性国家科学中心人工智能研究院);National Key Laboratory of Human-Machine Hybrid Augmented Intelligence, Xi’an Jiaotong University(西安交通大学人机混合增强智能全国重点实验室);Quantica Computing LLC(Quantica Computing有限责任公司);Center for Biomedical Informatics, College of Medicine, Texas A&M University(德克萨斯农工大学医学院生物医学信息学中心)