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Delayed-Choice Quantum Erasers and the Einstein-Podolsky-Rosen Paradox 延迟选择量子擦除器和爱因斯坦-波多尔斯基-罗森悖论
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-06-03 DOI: 10.1007/s10773-023-05370-4
Dah-Wei Chiou
{"title":"Delayed-Choice Quantum Erasers and the Einstein-Podolsky-Rosen Paradox","authors":"Dah-Wei Chiou","doi":"10.1007/s10773-023-05370-4","DOIUrl":"10.1007/s10773-023-05370-4","url":null,"abstract":"<div><p>Considering the delayed-choice quantum eraser using a Mach-Zehnder interferometer with a nonsymmetric beam splitter, we explicitly demonstrate that it shares exactly the same formal structure with the Einstein-Podolsky-Rosen-Bohm (EPR-Bohm) experiment. Therefore, the effect of quantum erasure can be understood in terms of the standard EPR correlation. Nevertheless, the quantum eraser still raises a conceptual issue beyond the standard EPR paradox, if counterfactual reasoning is taken into account. Furthermore, the quantum eraser experiments can be classified into two major categories: the <i>entanglement quantum eraser</i> and the <i>Scully-Drühl-type quantum eraser</i>. These two types are formally equivalent to each other, but conceptually the latter presents a “mystery” more prominent than the former. In the Scully-Drühl-type quantum eraser, the statement that the which-way information can be influenced by the delayed-choice measurement is not purely a consequence of counterfactual reasoning but bears some factual significance. Accordingly, it makes good sense to say that the “record” of the which-way information is “erased” if the potentiality to yield a conclusive outcome that discriminates the record is eliminated by the delayed-choice measurement. We also reconsider the quantum eraser in the many-worlds interpretation (MWI), making clear the conceptual merits and demerits of the MWI.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-023-05370-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4130246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hybrid Phase-Based Representation of Quantum Images 量子图像的混合相位表示
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-06-03 DOI: 10.1007/s10773-023-05354-4
Arijit Mandal, Shreya Banerjee, Prasanta K. Panigrahi
{"title":"Hybrid Phase-Based Representation of Quantum Images","authors":"Arijit Mandal,&nbsp;Shreya Banerjee,&nbsp;Prasanta K. Panigrahi","doi":"10.1007/s10773-023-05354-4","DOIUrl":"10.1007/s10773-023-05354-4","url":null,"abstract":"<div><p>We propose a novel and hybrid quantum-classical algorithm that requires only <span>(O(log {HW}))</span> qubits and reduces the multi-qubit gate costs required to represent an image of dimension <span>((H times W))</span>. In this algorithm, no qubit is needed to store the color information of the image. We represent the location information of an image with a superposition of mutually orthogonal vectors of an arbitrary basis and store the pixel information in the phases of the corresponding basis vectors without any extra qubit cost. We further present a classical algorithm to encode the phases and show that the inclusion of the classical algorithm significantly reduces the number of multi-qubit quantum gates required for image representation. Finally, we implement our algorithm on the classical simulator provided by IBM quantum as a proof of concept.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4128646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Effects of the Lorentz Symmetry Violation Caused by the Coupling Between the Vector Field (f^{mu }gamma ^{5}) and the Derivative of the Fermionic Field on the Modified Pöschl-Teller, Woods-Saxon and Harmonic Oscillator Potentials 矢量场（f^{mu }gamma ^{5}）与费米子场衍生物之间的耦合导致的违反洛伦兹对称性对修正波氏-泰勒、伍兹-撒克逊和谐振子势的影响
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-06-01 DOI: 10.1007/s10773-023-05363-3
K. Bakke, H. Belich
{"title":"Effects of the Lorentz Symmetry Violation Caused by the Coupling Between the Vector Field (f^{mu }gamma ^{5}) and the Derivative of the Fermionic Field on the Modified Pöschl-Teller, Woods-Saxon and Harmonic Oscillator Potentials","authors":"K. Bakke,&nbsp;H. Belich","doi":"10.1007/s10773-023-05363-3","DOIUrl":"10.1007/s10773-023-05363-3","url":null,"abstract":"<div><p>We study the Modified Pöschl-Teller potential, the Woods-Saxon potential and the harmonic oscillator potential under Lorentz symmetry violation effects caused by the coupling between the fixed vector field <span>(B^{mu }=f^{mu }gamma ^{5})</span> and the derivative of the fermionic field. We show that the Lorentz symmetry violation effects can influence the spectra of energy.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4036954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantum Synchronizable Codes from Quaternary Cyclotomy over Z2n Z2n上四元环切开术的量子可同步码
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-05-31 DOI: 10.1007/s10773-023-05390-0
Arun Kumar Yadav, Manju Pruthi, Vipin Kumar
{"title":"Quantum Synchronizable Codes from Quaternary Cyclotomy over Z2n","authors":"Arun Kumar Yadav,&nbsp;Manju Pruthi,&nbsp;Vipin Kumar","doi":"10.1007/s10773-023-05390-0","DOIUrl":"10.1007/s10773-023-05390-0","url":null,"abstract":"<div><p>In this study, we construct a 4-order generalized cyclotomic over<i>Z</i><sub>2<i>n</i></sub>, and obtained that the resulting codes are dual-containing cyclic codes and their augmented counterparts. Additionally, under some circumstances, this work helps to create two types of quantum synchronization capabilities that can achieve the upper limit. Furthermore, the quantum synchronizable codes have a strong capacity for error correction, both in terms of bit errors and phase errors.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5186794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Entropies and Dynamical Systems in Riesz MV-algebras Riesz mv -代数中的熵和动力系统
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-05-31 DOI: 10.1007/s10773-023-05367-z
Giuseppina Gerarda Barbieri, Mahta Bedrood, Giacomo Lenzi
{"title":"Entropies and Dynamical Systems in Riesz MV-algebras","authors":"Giuseppina Gerarda Barbieri,&nbsp;Mahta Bedrood,&nbsp;Giacomo Lenzi","doi":"10.1007/s10773-023-05367-z","DOIUrl":"10.1007/s10773-023-05367-z","url":null,"abstract":"<div><p>Kolmogorov and Sinai, using Shannon entropy, defined the entropy of dynamical systems and they proved that the entropy is invariant under isomorphisms of dynamical systems. Amongst entropies, the logical entropy was suggested by Ellerman as a new information measure. In this paper we define partitions of unit that serve as a mathematical model of the random experiment whose results are vaguely defined events. Then we study Entropies and Dynamical Systems, in particular we give different definitions of entropy and we focus our attention on logical entropy. Finally, we prove that the logical entropy of a dynamical system is invariant under isomorphisms of dynamical systems and we give an example which shows that logical entropy allows to distinguish non-isomorphic dynamical systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5185344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
How Distorting the Trajectories of Quantum Particles Shapes the Statistical Properties of their Ensemble 扭曲量子粒子的轨迹如何塑造它们系综的统计特性
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-05-29 DOI: 10.1007/s10773-023-05359-z
Tomer Shushi
{"title":"How Distorting the Trajectories of Quantum Particles Shapes the Statistical Properties of their Ensemble","authors":"Tomer Shushi","doi":"10.1007/s10773-023-05359-z","DOIUrl":"10.1007/s10773-023-05359-z","url":null,"abstract":"<div><p>We present universal statistical relations between the center of mass of a quantum ensemble and its sub-ensembles when the Bohmian trajectories of the particles are distorted. These relations break the additivity property of the expectation into subadditivity of the distorted expectation, which obtains an evident difference between the various ways to infer quantum expectations. The results do not depend on the form of the Hamiltonian, and do not have a classical parallel. While an experimentalist can arrange the distortion of the trajectories to produce the proposed relations, such distortion may naturally appear in standard experimental setups.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5634443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solutions of Noncommutative Two-Dimensional Position–Dependent Mass Dirac Equation in the Presence of Rashba Spin-Orbit Interaction by Using the Nikiforov–Uvarov Method 用Nikiforov-Uvarov方法求解Rashba自旋-轨道相互作用下非对易二维位置相关质量Dirac方程
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-05-29 DOI: 10.1007/s10773-023-05361-5
Ilyas Haouam
{"title":"Solutions of Noncommutative Two-Dimensional Position–Dependent Mass Dirac Equation in the Presence of Rashba Spin-Orbit Interaction by Using the Nikiforov–Uvarov Method","authors":"Ilyas Haouam","doi":"10.1007/s10773-023-05361-5","DOIUrl":"10.1007/s10773-023-05361-5","url":null,"abstract":"<div><p>We study the combined effects of both position-dependent mass (PDM) and Rashba spin-orbit interaction (RSOI) on the Dirac equation of a spin 1/2 particle moving in a plane and in the presence of a magnetic field within noncommutative (NC) phase-space. The eigenvalues of the two-dimensional system are calculated and the corresponding eigenstates are obtained. The model is solved using NU method then some numerical results are given and used to extensively investigate the behavior of the system under the various influences of linear potential (involved in PDM), magnetic field and RSOI in both commutative and NC frameworks.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-023-05361-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5130180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Study of Thermomagnetic Properties for Non-Relativistic Particle with Position Dependent Mass in the Presence of Topological Defect and External Magnetic Field: Theory and Simulation 具有位置依赖质量的非相对论性粒子在拓扑缺陷和外加磁场存在下的热磁特性研究:理论与仿真
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-05-26 DOI: 10.1007/s10773-023-05374-0
Suci Faniandari, A. Suparmi, C. Cari, Harjana Harjana
{"title":"Study of Thermomagnetic Properties for Non-Relativistic Particle with Position Dependent Mass in the Presence of Topological Defect and External Magnetic Field: Theory and Simulation","authors":"Suci Faniandari,&nbsp;A. Suparmi,&nbsp;C. Cari,&nbsp;Harjana Harjana","doi":"10.1007/s10773-023-05374-0","DOIUrl":"10.1007/s10773-023-05374-0","url":null,"abstract":"<div><p>The thermodynamic and magnetic properties of a particle confined by an exponential potential were studied in the non-relativistic quantum mechanics framework with topological defect. The perturbation effect of an external magnetic field to the system which formulated with the Schrodinger equation is also investigated. It’s shown by using the suitable Greene–Aldrich approximation and asymptotic iteration method, the analytical approximate energy eigenvalue of the radial part is obtained theoretically. The energy spectra were calculated and simulated with the variation of quantum number, topological defect parameter, potential parameter, and external magnetic field. The appearance of topological defect caused the particle becomes more bound since it decreased the energy level. Subsequently, the energy eigenvalue equation was applied to obtain the partition function of the system with the purpose to evaluate and to calculate the thermomagnetic properties of H<sub>2</sub>, LiH, and RbH diatomic molecules. The vibrational mean energy and entropy grow exponentially by the influence of the external magnetic field so that the molecule becomes unstable. The perturbation of the external magnetic field causes the value of the free energy increases and the stability of the system is getting worse, especially in areas with a large magnetic field influence. The magnetic susceptibility of the system always has a positive value and indicating ferromagnetic characteristics of the molecules in this system.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5020484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Mentor Initiated Controlled Bi-directional Remote State Preparation Scheme For ((2 iff 4))-Qubit Entangled States in Noisy Channel 噪声信道中((2 iff 4)) -量子比特纠缠态的导师发起控制双向远程状态制备方案
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-05-20 DOI: 10.1007/s10773-023-05336-6
Binayak S. Choudhury, Manoj Kumar Mandal, Soumen Samanta
{"title":"Mentor Initiated Controlled Bi-directional Remote State Preparation Scheme For ((2 iff 4))-Qubit Entangled States in Noisy Channel","authors":"Binayak S. Choudhury,&nbsp;Manoj Kumar Mandal,&nbsp;Soumen Samanta","doi":"10.1007/s10773-023-05336-6","DOIUrl":"10.1007/s10773-023-05336-6","url":null,"abstract":"<div><p>In this paper we present a bi-directional protocol for mutual remote preparation of a two and a four-qubit non-maximally entangled state where the parties intending to remotely prepare the respective states are not initially entangled. There is a controller of the protocol who oversees the performances of other parties and acts to signal for the execution of the final step in the protocol. There is a Mentor whose action creates entanglement between the rest of the parties and also determines one of the several possible courses of the communication scheme. After that the Mentor quits. The effect of three different noises, namely, Bit-flip, Phase-flip and Amplitude-damping noises are analyzed using the Kraus operator on the otherwise perfect protocol. The decreased fidelity in the presence of noise is numerically studied with respect to noise and other parameters. It is found that in all the three cases the fidelity tends to one as the noise parameter tends to zero.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4802587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On the Constructions of Quantum MDS Convolutional Codes 量子MDS卷积码的构造研究
IF 1.4 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2023-05-20 DOI: 10.1007/s10773-023-05366-0
Sujuan Huang, Shixin Zhu
{"title":"On the Constructions of Quantum MDS Convolutional Codes","authors":"Sujuan Huang,&nbsp;Shixin Zhu","doi":"10.1007/s10773-023-05366-0","DOIUrl":"10.1007/s10773-023-05366-0","url":null,"abstract":"<div><p>Quantum convolutional codes, which are the correct generalization to quantum domain of their classical analogs, were introduced to overcome decoherence during long distance quantum communications. In this paper, we construct some classes of quantum convolutional codes via classical constacyclic codes. These codes are maximum-distance-separable (MDS) codes in the sense that they achieve the Singleton bound for pure convolutional stabilizer codes. Furthermore, compared with some of the codes available in the literature, our codes have better parameters and are more general.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4800869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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