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Philosophy of Science for Scientists: The Probabilistic Interpretation of Science 科学家的科学哲学:科学的概率解释
Pub Date : 2019-09-26 DOI: 10.4236/jqis.2019.93007
S. Ishikawa
Recently we proposed “quantum language” (or, “the linguistic Copenhagen interpretation of quantum mechanics”, “measurement theory”) as the language of science. This theory asserts the probabilistic interpretation of science (=the linguistic quantum mechanical worldview), which is a kind of mathematical generalization of Born’s probabilistic interpretation of quantum mechanics. In this paper, we consider the most fundamental problems in philosophy of science such as Hempel’s raven paradox, Hume’s problem of induction, Goodman’s grue paradox, Peirce’s abduction, flagpole problem, which are closely related to measurement. We believe that these problems can never be solved without the basic theory of science with axioms. Since our worldview (=quantum language) has the axiom concerning measurement, these problems can be solved easily. Thus we believe that quantum language is the central theory in philosophy of science. Hence there is a reason to assert that quantum language gives the mathematical foundations to science.
最近我们提出了“量子语言”(或者“量子力学的哥本哈根语言解释”、“测量理论”)作为科学的语言。这一理论主张科学的概率解释(=语言量子力学世界观),是对玻恩量子力学的概率解释的一种数学推广。本文研究了与测量密切相关的科学哲学中最基本的问题,如亨佩尔的雷文悖论、休谟的归纳法问题、古德曼的格鲁悖论、皮尔斯的溯因法、旗杆问题等。我们认为,没有基本的科学理论和公理,这些问题永远无法解决。由于我们的世界观(=量子语言)有关于测量的公理,这些问题可以很容易地解决。因此,我们认为量子语言是科学哲学的中心理论。因此,我们有理由断言,量子语言为科学提供了数学基础。
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引用次数: 2
The Wave-Particle Duality—Does the Concept of Particle Make Sense in Quantum Mechanics? Should We Ask the Second Quantization? 波粒对偶性——粒子的概念在量子力学中有意义吗?我们应该问第二量化吗?
Pub Date : 2019-09-26 DOI: 10.4236/jqis.2019.93008
Sofia D. Wechsler
The quantum object is in general considered as displaying both wave and particle nature. By particle is understood an item localized in a very small volume of the space, and which cannot be simultaneously in two disjoint regions of the space. By wave, to the contrary, is understood a distributed item, occupying in some cases two or more disjoint regions of the space. The quantum formalism did not explain until today the so-called “collapse” of the wave-function, i.e. the shrinking of the wave-function to one small region of the space, when a macroscopic object is encountered. This seems to happen in “which-way” experiments. A very appealing explanation for this behavior is the idea of a particle, localized in some limited part of the wave-function. The present article challenges the concept of particle. It proves in the base of a variant of the Tan, Walls and Collett experiment, that this concept leads to a situation in which the particle has to be simultaneously in two places distant from one another—situation that contradicts the very definition of a particle. Another argument is based on a modified version of the Afshar experiment, showing that the concept of particle is problematic. The concept of particle makes additional difficulties when the wave-function passes through fields. An unexpected possibility to solve these difficulties seems to arise from the cavity quantum electrodynamics studies done recently by S. Savasta and his collaborators. It involves virtual particles. One of these studies is briefly described here. Though, experimental results are needed, so that it is too soon to conclude whether it speaks in favor, or against the concept of particle.
量子物体通常被认为同时表现出波和粒子的性质。粒子被理解为一个位于非常小体积空间中的项目,并且不能同时位于空间的两个不相交区域中。相反,波浪被理解为分布式项目,在某些情况下占据空间的两个或多个不相交区域。直到今天,量子形式主义才解释波函数的所谓“坍塌”,即当遇到宏观物体时,波函数收缩到空间的一个小区域。这似乎发生在“哪种方式”的实验中。对这种行为的一个非常有吸引力的解释是粒子的概念,它局限于波函数的某个有限部分。这篇文章挑战了粒子的概念。它在Tan、Walls和Collett实验的一个变体的基础上证明,这一概念导致了粒子必须同时位于两个相距遥远的地方的情况——这种情况与粒子的定义相矛盾。另一个论点是基于阿夫沙尔实验的修改版本,表明粒子的概念是有问题的。当波函数通过场时,粒子的概念会带来额外的困难。S.Savasta和他的合作者最近进行的腔量子电动力学研究似乎产生了解决这些困难的一种意想不到的可能性。它涉及虚拟粒子。其中一项研究在这里简要介绍。尽管如此,实验结果还是需要的,所以现在下结论是赞成还是反对粒子的概念还为时过早。
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引用次数: 6
Lattice Theory for Finite Dimensional Hilbert Space with Variables in Zd Zd中有变量的有限维Hilbert空间的格理论
Pub Date : 2019-04-18 DOI: 10.4236/JQIS.2019.92006
S. O. Oladejo, A. D. Adeshola, A. D. Adeniyi
In this work, join and meet algebraic structure which exists in non-near-linear finite geometry are discussed. Lines in non-near-linear finite geometry  were expressed as products of lines in near-linear finite geometry  (where p is a prime). An existence of lattice between any pair of near-linear finite geometry  of  is confirmed. For q|d, a one-to-one correspondence between the set of subgeometry  of  and finite geometry  from the subsets of the set {D(d)} of divisors of d (where each divisor represents a finite geometry) and set of subsystems {∏(q)} (with variables in Zq) of a finite quantum system ∏(d) with variables in Zd and a finite system from the subsets of the set of divisors of d is established.
本文讨论了非非线性有限几何中存在的连接与满足代数结构。非近线性有限几何中的直线表示为近线性有限几何中直线的乘积(其中p为素数)。证明了任意近线性有限几何对之间的格的存在性。对于q|d,建立了d的除数集合{d (d)}的子集与有限几何的子几何集合(其中每个除数表示一个有限几何)和有限量子系统∏(d)的变量为Zd的子系统集合{∏(q)}(变量为Zq)与d的除数集合的子集的有限系统之间的一一对应关系。
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引用次数: 0
Dynamical Properties of the Superposition of Two Finite Trio Coherent States 两个有限三相干态叠加的动力学性质
Pub Date : 2019-03-29 DOI: 10.4236/JQIS.2019.91005
Salama I. Ali, A. Mosallem
In this contribution we study a superposition of two finite dimensional trio coherent states (FTCS). The state is regarded as a correlated three-mode state in finite dimensional bases. The framework of Pegg and Barnett formalism, and the phase distribution in addition to the Poissonian distribution are examined. It is shown that the eigenvalue of the difference of the photon number (the q-parameter) is responsible for the non-classical phenomenon. Furthermore, the quasi-probability distribution functions (the Wigner and Q-functions) are also discussed. In this case and for the Wigner function the non-classical behavior is only reported for the odd values of the q-parameter.
在这个贡献中,我们研究了两个有限维三相干态(FTCS)的叠加。在有限维基底中,将该状态视为相关的三模态。考察了Pegg和Barnett形式论的框架,以及除泊松分布外的相分布。结果表明,光子数之差的本征值(q参数)是造成这种非经典现象的原因。此外,还讨论了拟概率分布函数(Wigner函数和q函数)。在这种情况下,对于Wigner函数,非经典行为只报告了q参数的奇数值。
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引用次数: 0
Tribonacci Quantum Cosmology: Optimal Non-Antipodal Spherical Codes & Graphs Tribonacci量子宇宙学:最优非对映球码与图
Pub Date : 2019-03-29 DOI: 10.4236/JQIS.2019.91004
Angus M. McCoss
Degrees of freedom in deep learning, quantum cosmological, information processing are shared and evolve through a self-organizing sequence of optimal , non-antipodal , spherical codes, . This Tribonacci Quantum Cosmology model invokes four codes: 1-vertex, 3-vertex (great circle equilateral triangle), 4-vertex (spherical tetrahedron) and 24-vertex (spherical snub cube). The vertices are einselected centres of coherent quantum information that maximise their minimum separation and survive environmental decoherence on a noisy horizon. Twenty-four 1-vertex codes, , self-organize into eight 3-vertex codes, , which self-organize into one 24-vertex code, , isomorphic to dimensions of 24-spacetime and 12(2) generators of SU(5). Snub cubical 24-vertex code chirality causes matter asymmetries and the corresponding graph-stress has normal and shear components relating to respective sides of Einstein’s tensor equivalence . Cosmological scale factor and Hubble parameter evolution is formalized as an Ostwald-coarsening function of time, scaled by the tribonacci constant (T≈1.839) property of the snub cube. The 24-vertex code coarsens to a broadband 4-vertex code, isomorphic to emergent 4-spacetime and antecedent structures in 24-spacetime metamorphose to familiar 4-spacetime forms. Each of the coarse code’s 4-vertices has 6-fold parallelized degrees of freedom (conserved from the 24-vertex code), , so 4-spacetime is properly denoted 4(6)-spacetime. Cosmological parameters are formalized: CMB h=H0/100=Tlog(3)/3≈0.674, Distance Ladder , , and . Due to 6-fold parallelization, the total matter density parameter is 6-fold heavier than the baryon density parameter, . A torrent of information-equivalent energy downloads from 6-fold faster 24-spacetime to 4(6)-spacetime. Consequent stress on 4(6)-spacetime causes it to resize its dynamic memory, expanding its cosmological scale. Ultimate coarsening of reality to , isomorphic to eternal time, is imminent for each observing agent in a Wheelerian participatory universe. DNA perhaps evolved from an 8 × 3-nucleotide primeval molecular code on the model’s 24 shared dimensions.
深度学习、量子宇宙学、信息处理中的自由度是通过一个自组织的最优、非对映、球形代码序列共享和进化的。这个Tribonacci量子宇宙学模型调用了四个代码:1顶点、3顶点(大圆等边三角形)、4顶点(球面四面体)和24顶点(球面软立方)。这些顶点是选定的相干量子信息中心,它们可以最大化最小分离,并在噪声视界的环境退相干中存活下来。24个1顶点码,自组织成8个3顶点码,这些3顶点码自组织成1个24顶点码,同构于24-时空维度和SU(5)的12(2)个生成器。冷落立方体24顶点代码手性导致物质不对称,相应的图应力具有与爱因斯坦张量等价的各自侧相关的法向和剪切分量。宇宙学尺度因子和哈勃参数的演化被形式化为时间的ostwald -粗化函数,由snub立方体的tribonacci常数(T≈1.839)的性质来缩放。24顶点码粗化为宽频4顶点码,与突现的4-时空同构,24-时空中的前因式结构变形为熟悉的4-时空形式。每个粗码的4个顶点都有6倍的并行自由度(从24个顶点的代码中守恒),所以4-spacetime被正确地表示为4(6)-spacetime。宇宙学参数被形式化:CMB h=H0/100=Tlog(3)/3≈0.674,距离阶梯,和。由于6倍平行化,总物质密度参数比重子密度参数重6倍。信息当量能量的洪流从6倍快的24-时空下载到4(6)-时空。随之而来的对4(6)-时空的压力导致它调整其动态存储器的大小,扩大其宇宙尺度。现实的最终粗化,与永恒的时间同构,是迫在眉睫的每一个观察代理在惠勒参与式宇宙。DNA可能是由一个8 × 3核苷酸的原始分子密码在模型的24个共享维度上进化而来。
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引用次数: 0
Stark and Kerr Effects on the Dynamics of Moving N-Level Atomic System 运动n能级原子系统动力学中的Stark和Kerr效应
Pub Date : 2019-03-11 DOI: 10.4236/JQIS.2019.91003
S. J. Anwar, M. Ramzan, M. Usman, Mohammed Khalid Khan
We have investigated numerically the dynamics of quantum Fisher information (QFI) and quantum entanglement (QE) for N-level atomic system interacting with a coherent field in the presence of Kerr (linear and non-linear medium) and Stark effects. It is observed that the Stark and Kerr effects play a prominent role during the time evolution of the quantum system. The evolving quantum Fisher information (QFI) is noted as time grows under the non-linear Kerr medium contrary to the QE for higher dimensional systems. The effect of non-linear Kerr medium is greater on the QE as we increase the value of Kerr parameter. However, QFI and QE maintain their periodic nature under atomic motion. On the other hand, linear Kerr medium has no prominent effects on the dynamics of N-level atomic system. Furthermore, it has been observed that QFI and QE decay soon under the influence of Stark effect. In short, the N-level atomic system is found prone to the change of the Kerr medium and Stark effect for higher dimensional systems.
本文研究了n能级原子系统在Kerr(线性和非线性介质)和Stark效应下与相干场相互作用的量子Fisher信息(QFI)和量子纠缠(QE)动力学。观察到Stark和Kerr效应在量子系统的时间演化过程中起着突出的作用。与高维系统的量子费雪信息相反,在非线性克尔介质下,随着时间的增长,量子费雪信息(QFI)不断演化。随着克尔参数的增大,非线性克尔介质对QE的影响更大。然而,QFI和QE在原子运动下保持其周期性。另一方面,线性克尔介质对n能级原子体系的动力学没有明显的影响。此外,还观察到QFI和QE在Stark效应的影响下很快衰减。简而言之,发现n能级原子体系容易发生克尔介质的变化和高维体系的斯塔克效应。
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引用次数: 7
Reinforcement Learning with Deep Quantum Neural Networks 深度量子神经网络的强化学习
Pub Date : 2019-03-08 DOI: 10.4236/JQIS.2019.91001
Wei Hu, James Hu
The advantage of quantum computers over classical computers fuels the recent trend of developing machine learning algorithms on quantum computers, which can potentially lead to breakthroughs and new learning models in this area. The aim of our study is to explore deep quantum reinforcement learning (RL) on photonic quantum computers, which can process information stored in the quantum states of light. These quantum computers can naturally represent continuous variables, making them an ideal platform to create quantum versions of neural networks. Using quantum photonic circuits, we implement Q learning and actor-critic algorithms with multilayer quantum neural networks and test them in the grid world environment. Our experiments show that 1) these quantum algorithms can solve the RL problem and 2) compared to one layer, using three layer quantum networks improves the learning of both algorithms in terms of rewards collected. In summary, our findings suggest that having more layers in deep quantum RL can enhance the learning outcome.
量子计算机相对于经典计算机的优势推动了在量子计算机上开发机器学习算法的最新趋势,这可能导致该领域的突破和新的学习模型。我们研究的目的是探索光子量子计算机上的深度量子强化学习(RL),它可以处理存储在光的量子态中的信息。这些量子计算机可以自然地表示连续变量,使其成为创建量子版本神经网络的理想平台。利用量子光子电路,我们用多层量子神经网络实现了Q学习和actor-critic算法,并在网格环境中进行了测试。我们的实验表明,1)这些量子算法可以解决RL问题,2)与一层相比,使用三层量子网络在收集奖励方面提高了两种算法的学习。总之,我们的发现表明,在深量子RL中拥有更多的层可以提高学习效果。
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引用次数: 8
Quantum Information Processing Using the Exchange Interaction 利用交换相互作用进行量子信息处理
Pub Date : 2018-11-22 DOI: 10.4236/JQIS.2018.84010
M. G. Majumdar
In this paper, I propose new models of quantum information processing using the exchange interaction in physical systems. The partial SWAP operator that can be realized using the exchange interaction is used as the underlying resource for defining models of quantum computation, quantum communication, quantum memory and decoherence-free subspaces. Given the non-commutativity of these operators (for adjacent operators operating on a common qubit), a number of quantum states and entanglement patters can be obtained. This zoo of states can be classified, due to the parity constraints and permutation symmetry of the states, into invariant subspaces that are used for the definition of some of the applications in this paper.
在本文中,我提出了利用物理系统中的交换相互作用进行量子信息处理的新模型。使用交换相互作用可以实现的部分SWAP算子被用作定义量子计算、量子通信、量子存储器和无退相干子空间模型的底层资源。给定这些算子的非交换性(对于在公共量子位上操作的相邻算子),可以获得许多量子态和纠缠模式。由于状态的奇偶性约束和排列对称性,这个状态动物园可以被分类为不变子空间,用于定义本文中的一些应用。
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引用次数: 6
Berezin Quantization of Gaussian Functions Depending by a Quantum and Compression Parameter 基于量子和压缩参数的高斯函数Berezin量化
Pub Date : 2018-11-02 DOI: 10.4236/jqis.2019.91002
Simone Camosso
The aim of this work is to study the Berezin quantization of a Gaussian state. The result is another Gaussian state that depends on a quantum parameter α, which describes the relationship between the classical and quantum vision. The compression parameter λ>0 is associated to the harmonic oscillator semigroup.
这项工作的目的是研究高斯态的Berezin量子化。结果是另一个依赖于量子参数α的高斯态,该参数描述了经典视觉和量子视觉之间的关系。压缩参数λ>0与谐振子半群有关。
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引用次数: 0
Super-Quantum Correlations: A Necessary Clarification 超量子关联:一个必要的澄清
Pub Date : 2018-09-11 DOI: 10.4236/jqis.2018.83009
Pierre Uzan
This paper proposes a necessary clarification about the problematic of super-quantum correlations, whose mainstream debate relies on an incorrect, statistical interpretation of the no-signaling condition. The no-signaling condition is an informational constraint that limits the strength of non-local correlations to the Tsirelson bound.
本文对超量子关联的问题提出了必要的澄清,其主流争论依赖于对无信号条件的不正确的统计解释。无信号条件是将非局部相关性的强度限制在Tsirelson界的信息约束。
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引用次数: 4
期刊
量子信息科学期刊(英文)
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