高能物理中的Bell不等式

评述了在高能物理中检验量子力学的完备性, 特别是检验Bell不等式的研究工作进展情况, 简略地介绍了Einstain, Podolsky和Rosen (EPR)佯谬及其相应的光子实验得到的结果. 概括地阐述了在高能物理中早期利用粒子衰变中的自旋关联以及后来用中性介子的混合形成的准自旋纠缠态检验Bell不等式的各种尝试, 给出了K⁰和B⁰系统的相关实验结果. 介绍了一种可在φ工厂中实施实验检验的, 基于非最大纠缠态的新的方案. 最后还讨论了把这一实验方案推广到τ-粲工厂的可能性.     

Inseparable Criterion and Bell Inequality

In this letter, we shall show how to construct constrained Bell-type inequality for a general two-party system, and violating this inequality is equivalent to being inseparable. For 2 × 2 system, the maximum violation is 3, while for 3 × 3 system, the largest violation is 11/3.     

Bell合作组发现新粒子

日本KEK实验室的Bell合作组发现了一种新的亚原子粒子，命名为“X(3872)”，这种粒子不能列入已知粒子的分类表中，理论家们推测可能是至今没有发现过的一种介子，这种介子含有4个夸克(有关论文将发表在Phys．Rev．Lett．上)，这一发现已被美国费米实验室的CDF合作组证实，他们把这种新粒子称为谜介子(mystery meson)。     

隐变量理论与Bell定理

本文详细地讨论了隐变量自旋关联、量子力学自旋关联、Ｂｅｌｌ定理及其意义．     

Bell’s Correlations and Spin Systems

The structure of maximal violators of Bell’s inequalities for Jordan algebras is investigated. It is proved that the spin factor V ₂ is responsible for maximal values of Bell’s correlations in a faithful state. In this situation maximally correlated subsystems must overlap in a nonassociative subalgebra. For operator commuting subalgebras it is shown that maximal violators have the structure of the spin systems and that the global state (faithful on local subalgebras) acts as the trace on local subalgebras.     

用光子纠缠源验证Bell不等式

以Bell不等式的推广形式CHSH不等式为理论指导,利用自主搭建的双光子纠缠源制备光子纠缠态,通过测量不同条件下符合对比度计算Bell不等式,验证了量子力学的完备性.     

Bell’s inequality with Dirac particles

We study Bell’s inequality using the Bell states constructed from four component Dirac spinors. Spin operator is related to the Pauli-Lubanski pseudo vector which is relativistic invariant operator. By using Lorentz transformation, in both Bell states and spin operator, we obtain an observer independent Bell’s inequality, so that it is maximally violated as long as it is violated maximally in the rest frame. The article is published in the original.     

基于Bell态和Bell测量的无信息泄露受控双向量子安全直接通信(英文)

提出一个无信息泄露的受控双向量子安全直接通信协议.协议中合法通信双方Alice和Bob在控制者Charlie的控制下实现彼此秘密信息的安全交换,利用3个Bell态纠缠交换后的测量相关性来克服信息泄露问题.由于该协议仅利用Bell态作为量子资源,而且仅需要进行Bell测量,所以方便实现.安全性分析表明,该协议不仅能检测到外部窃听者的主动攻击,而且还能检测到控制者Charlie的不诚实行为,因此,具备良好的安全性.     

Bell’s Theorem: Two Neglected Solutions

Bell’s theorem admits several interpretations or ‘solutions’, the standard interpretation being ‘indeterminism’, a next one ‘nonlocality’. In this article two further solutions are investigated, termed here ‘superdeterminism’ and ‘supercorrelation’. The former is especially interesting for philosophical reasons, if only because it is always rejected on the basis of extra-physical arguments. The latter, supercorrelation, will be studied here by investigating model systems that can mimic it, namely spin lattices. It is shown that in these systems the Bell inequality can be violated, even if they are local according to usual definitions. Violation of the Bell inequality is retraced to violation of ‘measurement independence’. These results emphasize the importance of studying the premises of the Bell inequality in realistic systems.     

利用Bell态实现量子隐形传态

量子隐形传态利用了量子的纠缠特性,在物理层实现了不可破译的量子密码通信.文章从信息论的角度描述了量子纠缠态的特性,给出了实现量子纠缠态的物理门线路;利用该量子纠缠态的量子线路,分析隐形传态的通信模型,给出了利用Bell态实现隐形传态的简单结构的量子线路,证明该量子线路是可行的,为进一步研究量子密码通信提供参考.     

Enhanced arbitrated quantum signature scheme using Bell states

We investigate the existing arbitrated quantum signature schemes as well as their cryptanalysis, including intercept- resend attack and denial-of-service attack. By exploring the loopholes of these schemes, a malicious signatory may success- fully disavow signed messages, or the receiver may actively negate the signature from the signatory without being detected. By modifying the existing schemes, we develop counter-measures to these attacks using Bell states. The newly proposed scheme puts forward the security of arbitrated quantum signature. Furthermore, several valuable topics are also presented for further research of the quantum signature scheme.     

Bell’s theory with no locality assumption

We prove versions of the Bell and the GHZ theorems that do not assume locality but only the effect after cause principle (EACP) according to which for any Lorentz observer the value of an observable cannot change because of an event that happens after the observable is measured. We show that the EACP is strictly weaker than locality. As a consequence of our results, locality cannot be considered as the common cause of the contradictions obtained in all versions of Bell’s theory. All versions of Bell’s theorem assume weak realism according to which the value of an observable is well defined whenever the measurement could be made and some measurement is made. As a consequence of our results, weak realism becomes the only hypothesis common to the contradictions obtained in all versions of Bell’s theory. Usually, one avoids these contradictions by assuming non-locality; this would not help in our case since we do not assume locality. This work indicates that it is weak realism, not locality, that needs to be negated to avoid contradictions in microscopic physics, at least if one refuses as false the de Broglie-Bohm hidden variable theory because of its essential violation of Lorentz invariance.     

轻中度单侧Bell面瘫红外热辐射强度异常分析

Bell 面瘫是一种多发的面神经疾病,首次发病以轻中度居多.应用红外热成像原理,探寻一种客观无创的Bell面瘫评估方法.人体面部穴位大都呈左右对称分布,取患者病变一侧的相关穴位为实验组,另一侧同一穴位为对照组,分别研究其红外热辐射特性,急性期内,同一穴位在健侧与患侧的红外热辐射强度差异显著,即存在明显的温差(大于0.3...     

Entangled squeezed states:Bell state measurement and teleportation

We construct orthogonal Bell states with entangled squeezed vacuum states and show that these states can be discriminated with arbitrary precision when the amplitude of the squeezed states becomes sufficiently large. A scheme of teleporting a superposition state of the squeezed vacuum states based on the Bell state measurement is presented.     

基于Bell态的三方量子密钥协商

提出了基于两粒子纠缠态的一个三方量子密钥协商协议. 方案中的三个参与者是完全对等的, 且对建立的共享密钥具有相同的贡献. 除此之外, 三方中的任何一方或两方都不能事先单独决定共享密钥. 安全分析表明本协议既能抵抗外部窃听者的攻击, 又能抵抗内部参与者攻击. 关键词： 量子密码学 量子密钥协商 Bell态     

On the CHSH Form of Bell’s Inequalities

A common mistake present in the derivation of the usually known as the CHSH form of Bell’s inequalities is pointed out. References and comments to the correct approach are given. This error does not alter the final result and only affects the logical consistency of the derivation, but since it seems to be a widespread misconception regarding the roll and interpretation of the of use of hidden variables in Bell’s theorem it is considered to be of general interest.     

Bell实验室对重要研究成果的质疑进行调查

近两年来 ,美国Ｂｅｌｌ实验室Ｊ .Ｈ .Ｓｃｈ ｎ(第一作者 )等人用场效应三极管 (ＦＥＴ)技术对材料作载流子掺杂 ,在Ｓｃｉｅｎｃｅ和Ｎａｔｕｒｅ等杂志上发表了多篇重要研究成果 ,例如在有机晶体三并苯、四并苯和五并苯中观察到超导电性的出现 ;对Ｃ60 晶体作空穴掺杂 ,得到比用化学方法作电子掺杂更高的超导转变温度 (5 2Ｋ) ,对在Ｃ60 晶体间隙位置插入其他分子 (如ＣＨＢｒ3 )的样品得到更高的超导转变温度 (117Ｋ)等 .这些漂亮的实验结果引起国际物理学界广泛的重视和关注 ,《物理》亦有所报道 ,分别刊载于 2 0 0 1年第 3期 189页、…     

Constraints on Determinism: Bell Versus Conway–Kochen

Bell’s Theorem from Physics 36:1–28 (1964) and the (Strong) Free Will Theorem of Conway and Kochen from Notices AMS 56:226–232 (2009) both exclude deterministic hidden variable theories (or, in modern parlance, ‘ontological models’) that are compatible with some small fragment of quantum mechanics, admit ‘free’ settings of the archetypal Alice and Bob experiment, and satisfy a locality condition akin to parameter independence. We clarify the relationship between these theorems by giving reformulations of both that exactly pinpoint their resemblance and their differences. Our reformulation imposes determinism in what we see as the only consistent way, in which the ‘ontological state’ initially determines both the settings and the outcome of the experiment. The usual status of the settings as ‘free’ parameters is subsequently recovered from independence assumptions on the pertinent (random) variables. Our reformulation also clarifies the role of the settings in Bell’s later generalization of his theorem to stochastic hidden variable theories.