We investigate the entanglement dynamics of an anisotropic two-qubit Heisenberg XYZ system with Dzyaloshinskii-Moriya (DM) interaction in the presence of both inhomogeneity of the external magnetic field b and intrinsic decoherence which has been studied. The behavior of quantum correlation and the degree of entanglement between the two subsystems is quantified by using measurement-induced disturbance (MID), negativity (N) and Quantum Discord (QD), respectively. It is shown that in the presence of an inhomogeneity external magnetic field occur the phenomena of long-lived entanglement. It is found that the initial state is the essential role in the time evolution of the entanglement.
{"title":"Study the Entanglement Dynamics of an Anisotropic Two-Qubit Heisenberg XYZ System in a Magnetic Field","authors":"A. R. Mohammed, T. El-Shahat","doi":"10.4236/JQIS.2017.74013","DOIUrl":"https://doi.org/10.4236/JQIS.2017.74013","url":null,"abstract":"We investigate the entanglement dynamics of an anisotropic two-qubit Heisenberg XYZ system with Dzyaloshinskii-Moriya (DM) interaction in the presence of both inhomogeneity of the external magnetic field b and intrinsic decoherence which has been studied. The behavior of quantum correlation and the degree of entanglement between the two subsystems is quantified by using measurement-induced disturbance (MID), negativity (N) and Quantum Discord (QD), respectively. It is shown that in the presence of an inhomogeneity external magnetic field occur the phenomena of long-lived entanglement. It is found that the initial state is the essential role in the time evolution of the entanglement.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"160-171"},"PeriodicalIF":0.0,"publicationDate":"2017-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43359530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper deals with theoretical treatment of physical limits for computation. We are using some statements on base of min energy/bit, power delay product, Shannon entropy and Heisenberg uncertainty principle which result in about kTln(2) energy for a bit of information.
{"title":"Physical Limits of Computation","authors":"Tibor Guba, L. Nánai, T. George","doi":"10.4236/JQIS.2017.74012","DOIUrl":"https://doi.org/10.4236/JQIS.2017.74012","url":null,"abstract":"The paper deals with theoretical treatment of physical limits for computation. We are using some statements on base of min energy/bit, power delay product, Shannon entropy and Heisenberg uncertainty principle which result in about kTln(2) energy for a bit of information.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"155-159"},"PeriodicalIF":0.0,"publicationDate":"2017-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48545224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper we study the dynamics of the atomic inversion, von Neumann entropy and entropy squeezing for moving and non-moving two-level atoms interacting with a Perelomov coherent state. The final state of the system using specific initial conditions is obtained. The effects of Perelomov and detuning parameters are examined in the absence and presence of the atomic motion. Important phenomena such as the collapse and revival are shown to be very sensitive to the variation of the Perelomov parameter in the presence of detuning parameter. The results show that the Perelomov parameter is very useful in generating a high amount of entanglement due to variation of the detuning parameter.
{"title":"Entanglement of Moving and Non-Moving Two-Level Atoms","authors":"M. K. Ismail, T. El-Shahat","doi":"10.4236/JQIS.2017.74014","DOIUrl":"https://doi.org/10.4236/JQIS.2017.74014","url":null,"abstract":"In this paper we study the dynamics of the atomic inversion, von Neumann entropy and entropy squeezing for moving and non-moving two-level atoms interacting with a Perelomov coherent state. The final state of the system using specific initial conditions is obtained. The effects of Perelomov and detuning parameters are examined in the absence and presence of the atomic motion. Important phenomena such as the collapse and revival are shown to be very sensitive to the variation of the Perelomov parameter in the presence of detuning parameter. The results show that the Perelomov parameter is very useful in generating a high amount of entanglement due to variation of the detuning parameter.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"172-184"},"PeriodicalIF":0.0,"publicationDate":"2017-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49460816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work, we make a representation of non-relativistic quantum theory based on foundations of paraconsistent annotated logic (PAL), a propositional and evidential logic with an associated lattice FOUR. We use the PAL version with annotation of two values (PAL2v), named paraquantum logic (PQL), where the evidence signals are normalized values and the intensities of the inconsistencies are represented by degrees of contradiction. Quantum mechanics is represented through mapping on the interlaced bilattices where this logical formalization allows annotation of two values in the format of degrees of evidence of probability. The Bernoulli probability distribution is used to establish probabilistic logical states that identify the superposition of states and quantum entanglement with the equations and determine the state vectors located inside the interlaced Bilattice. In the proposed logical probabilistic paraquantum logic model (pPQL Model), we introduce the operation of logical conflation into interlaced bilattice. We verify that in the pPQL Model, the operation of logical conflation is responsible for providing a suitable model for various phenomena of quantum mechanics, mainly the quantum entanglement. The results obtained from the entanglement equations demonstrate the formalization and completeness of paraquantum logic that allows for interpretations of similar phenomena of quantum mechanics, including EPR paradox and the wave-particle theory.
{"title":"A Probabilistic Paraconsistent Logical Model for Non-Relativistic Quantum Mechanics Using Interlaced Bilattices with Conflation and Bernoulli Distribution","authors":"J. I. S. Filho","doi":"10.4236/JQIS.2017.73009","DOIUrl":"https://doi.org/10.4236/JQIS.2017.73009","url":null,"abstract":"In this work, we make a representation of non-relativistic quantum theory based on foundations of paraconsistent annotated logic (PAL), a propositional and evidential logic with an associated lattice FOUR. We use the PAL version with annotation of two values (PAL2v), named paraquantum logic (PQL), where the evidence signals are normalized values and the intensities of the inconsistencies are represented by degrees of contradiction. Quantum mechanics is represented through mapping on the interlaced bilattices where this logical formalization allows annotation of two values in the format of degrees of evidence of probability. The Bernoulli probability distribution is used to establish probabilistic logical states that identify the superposition of states and quantum entanglement with the equations and determine the state vectors located inside the interlaced Bilattice. In the proposed logical probabilistic paraquantum logic model (pPQL Model), we introduce the operation of logical conflation into interlaced bilattice. We verify that in the pPQL Model, the operation of logical conflation is responsible for providing a suitable model for various phenomena of quantum mechanics, mainly the quantum entanglement. The results obtained from the entanglement equations demonstrate the formalization and completeness of paraquantum logic that allows for interpretations of similar phenomena of quantum mechanics, including EPR paradox and the wave-particle theory.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"89-124"},"PeriodicalIF":0.0,"publicationDate":"2017-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44435858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the present work, Scale Relativity (SR) is applied to a particle in a simple harmonic oscillator (SHO) potential. This is done by utilizing a novel mathematical connection between SR approach to quantum mechanics and the well-known Riccati equation. Then, computer programs were written using the standard MATLAB 7 code to numerically simulate the behavior of the quantum particle utilizing the solutions of the fractal equations of motion obtained from SR method. Comparison of the results with the conventional quantum mechanics probability density is shown to be in very precise agreement. This agreement was improved further for some cases by utilizing the idea of thermalization of the initial particle state and by optimizing the parameters used in the numerical simulations such as the time step and number of coordinate divisions. It is concluded from the present work that SR method can be used as a basis for description the quantum behavior without reference to conventional formulation of quantum mechanics. Hence, it can also be concluded that the fractal nature of space-time implied by SR, is at the origin of the quantum behavior observed in these problems. The novel mathematical connection between SR and the Riccati equation, which was previously used in quantum mechanics without reference to SR, needs further investigation in future work.
{"title":"Application of Scale Relativity to the Problem of a Particle in a Simple Harmonic Oscillator Potential","authors":"S. N. T. Al-Rashid, M. A. Habeeb, Khalid A. Ahmed","doi":"10.4236/JQIS.2017.73008","DOIUrl":"https://doi.org/10.4236/JQIS.2017.73008","url":null,"abstract":"In the present work, Scale Relativity (SR) is applied to a particle in a simple harmonic oscillator (SHO) potential. This is done by utilizing a novel mathematical connection between SR approach to quantum mechanics and the well-known Riccati equation. Then, computer programs were written using the standard MATLAB 7 code to numerically simulate the behavior of the quantum particle utilizing the solutions of the fractal equations of motion obtained from SR method. Comparison of the results with the conventional quantum mechanics probability density is shown to be in very precise agreement. This agreement was improved further for some cases by utilizing the idea of thermalization of the initial particle state and by optimizing the parameters used in the numerical simulations such as the time step and number of coordinate divisions. It is concluded from the present work that SR method can be used as a basis for description the quantum behavior without reference to conventional formulation of quantum mechanics. Hence, it can also be concluded that the fractal nature of space-time implied by SR, is at the origin of the quantum behavior observed in these problems. The novel mathematical connection between SR and the Riccati equation, which was previously used in quantum mechanics without reference to SR, needs further investigation in future work.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"77-88"},"PeriodicalIF":0.0,"publicationDate":"2017-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48458546","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We give a mathematical golden mean distribution based probabilistic confirmation of a recent spectacular experiment with light. The experiment in question is a three-slit variant of the well known two-slit set up of quantum mechanics. The outcome of the sophisticated experiment revealed the looped path of light on the quantum scale and consequently the Peano-Hilbert geometry of spacetime, ergo its fractal-Cantorian nature. The mathematics used here on the other hand is the remarkably simple and insightful golden mean probability distribution known from a famous paradox known in social sciences as the voter paradox.
{"title":"Looped Light on Dark Energy","authors":"M. Naschie","doi":"10.4236/JQIS.2017.72004","DOIUrl":"https://doi.org/10.4236/JQIS.2017.72004","url":null,"abstract":"We give a mathematical golden mean distribution based probabilistic confirmation of a recent spectacular experiment with light. The experiment in question is a three-slit variant of the well known two-slit set up of quantum mechanics. The outcome of the sophisticated experiment revealed the looped path of light on the quantum scale and consequently the Peano-Hilbert geometry of spacetime, ergo its fractal-Cantorian nature. The mathematics used here on the other hand is the remarkably simple and insightful golden mean probability distribution known from a famous paradox known in social sciences as the voter paradox.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"43-47"},"PeriodicalIF":0.0,"publicationDate":"2017-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47836967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Entropic gravity theories propose that spacetime and gravity emerge from quantum information entanglements. Vacuum spacetime emerges in the ground state and its area law for entanglement entropy is due to short-range entanglement of neighbouring microscopic degrees of freedom. Matter changes the entanglement entropy in this vacuum and leads to Einstein gravity. Additionally, in a positive dark energy de Sitter Universe, where each conscious agent has a cosmological horizon, a volume law contribution to entanglement entropy is divided evenly over the same degrees of freedom and is caused by long-range entanglement. I propose these complementary shortrange and long-range entanglement contributions form a nested small-world network which provides the topological quantum computing foundation for relativistic multi-agent correlations which weave together a universal physics of Nature. The volume law contribution to entanglement entropy surpasses the area law for entanglement entropy at an agent’s cosmological horizon. Verlinde interprets gravitational “dark matter” phenomena as polymer-like memory effects caused by the volume contribution to the entanglement entropy. I propose these phenomena are instead multi-agent quantum computational consensus effects due to an equivalent volume contribution to the entanglement entropy. Life is correlated with its environment. Phenomena attributed to unseen “dark matter” particles are proposed here to be founded upon nested observer halos, “spheres of influence or correlation”, caused by the consensus Agency of Life. Suitable cosmological conditions for earliest Life in the Universe occurred some 10 billion years ago and older galaxies do not exhibit “dark matter” phenomena. Also, galactic rotation curves flatten beyond their high-radiation centres, due to astrobiology and the Agency of Life living in outlying low-radiation habitable zones. Where baryonic matter is in motion, then the Agency of Life stores its baryonic matter-lagging memory in skewed trails of apparent “dark matter” phenomena in spacetime.
{"title":"Agency of Life, Entropic Gravity and Phenomena Attributed to “Dark Matter”","authors":"Angus M. McCoss","doi":"10.4236/JQIS.2017.72007","DOIUrl":"https://doi.org/10.4236/JQIS.2017.72007","url":null,"abstract":"Entropic gravity theories propose that spacetime and gravity emerge from quantum information entanglements. Vacuum spacetime emerges in the ground state and its area law for entanglement entropy is due to short-range entanglement of neighbouring microscopic degrees of freedom. Matter changes the entanglement entropy in this vacuum and leads to Einstein gravity. Additionally, in a positive dark energy de Sitter Universe, where each conscious agent has a cosmological horizon, a volume law contribution to entanglement entropy is divided evenly over the same degrees of freedom and is caused by long-range entanglement. I propose these complementary shortrange and long-range entanglement contributions form a nested small-world network which provides the topological quantum computing foundation for relativistic multi-agent correlations which weave together a universal physics of Nature. The volume law contribution to entanglement entropy surpasses the area law for entanglement entropy at an agent’s cosmological horizon. Verlinde interprets gravitational “dark matter” phenomena as polymer-like memory effects caused by the volume contribution to the entanglement entropy. I propose these phenomena are instead multi-agent quantum computational consensus effects due to an equivalent volume contribution to the entanglement entropy. Life is correlated with its environment. Phenomena attributed to unseen “dark matter” particles are proposed here to be founded upon nested observer halos, “spheres of influence or correlation”, caused by the consensus Agency of Life. Suitable cosmological conditions for earliest Life in the Universe occurred some 10 billion years ago and older galaxies do not exhibit “dark matter” phenomena. Also, galactic rotation curves flatten beyond their high-radiation centres, due to astrobiology and the Agency of Life living in outlying low-radiation habitable zones. Where baryonic matter is in motion, then the Agency of Life stores its baryonic matter-lagging memory in skewed trails of apparent “dark matter” phenomena in spacetime.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"67-75"},"PeriodicalIF":0.0,"publicationDate":"2017-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47795003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we believe that quantum language is the only scientifically successful theory in dualistic idealism. If this turn is regarded as progress in the history of western philosophy (i.e., if “philosophical progress” is defined by “approaching to quantum language”), we should study the linguistic mind-body problem more than the epistemological mind-body problem. In this paper, we show that to solve the mind-body problem and to propose “measurement axiom” in quantum language are equivalent. Since our approach is always within dualistic idealism, we believe that our linguistic answer is the only true solution to the mind-body problem.
{"title":"A Final Solution to the Mind-Body Problem by Quantum Language","authors":"S. Ishikawa","doi":"10.4236/JQIS.2017.72005","DOIUrl":"https://doi.org/10.4236/JQIS.2017.72005","url":null,"abstract":"Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we believe that quantum language is the only scientifically successful theory in dualistic idealism. If this turn is regarded as progress in the history of western philosophy (i.e., if “philosophical progress” is defined by “approaching to quantum language”), we should study the linguistic mind-body problem more than the epistemological mind-body problem. In this paper, we show that to solve the mind-body problem and to propose “measurement axiom” in quantum language are equivalent. Since our approach is always within dualistic idealism, we believe that our linguistic answer is the only true solution to the mind-body problem.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"48-56"},"PeriodicalIF":0.0,"publicationDate":"2017-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43280582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the decay t → cγ with flavor-changing neutral interactions in scalar sector of the type III Two Higgs Doublet Model (THDM-III) with mixing between neutral scalar fields as a result of considering the most general scalar potential. The branching ratio of the decay Br (t → cγ) is calculated as function of the mixing parameters and masses of the neutral scalar fields. We obtain a Br (t → cγ) of the order of 10−8 for the considered regions of the mixing parameters. Finally, one upper bound for the possible events is estimated to be n=18 by assuming an expected luminosity of the order of 300 fb−1.
{"title":"Rare Top Decay t →cγ in General THDM-III","authors":"R. Gaitán-Lozano, J. H. M. D. Oca, R. Martínez","doi":"10.4236/JQIS.2017.72006","DOIUrl":"https://doi.org/10.4236/JQIS.2017.72006","url":null,"abstract":"We study the decay t → cγ with flavor-changing neutral interactions in scalar sector of the type III Two Higgs Doublet Model (THDM-III) with mixing between neutral scalar fields as a result of considering the most general scalar potential. The branching ratio of the decay Br (t → cγ) is calculated as function of the mixing parameters and masses of the neutral scalar fields. We obtain a Br (t → cγ) of the order of 10−8 for the considered regions of the mixing parameters. Finally, one upper bound for the possible events is estimated to be n=18 by assuming an expected luminosity of the order of 300 fb−1.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"57-66"},"PeriodicalIF":0.0,"publicationDate":"2017-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44142394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In one-dimensional multiparticle Quantum Cellular Automaton (QCA), the approximation of the bosonic system by fermion (boson-fermion correspondence) can be derived in a rather simple and intriguing way, where the principle to impose zero-derivative boundary conditions of one-particle QCA is also analogously used in particle-exchange boundary conditions. As a clear cut demonstration of this approximation, we calculate the ground state of few-particle systems in a box using imaginary time evolution simulation in 2nd quantization form as well as in 1st quantization form. Moreover in this 2nd quantized form of QCA calculation, we use Time Evolving Block Decimation (TEBD) algorithm. We present this demonstration to emphasize that the TEBD is most natu-rally regarded as an approximation method to the 2nd quantized form of QCA.
{"title":"The Approximation of Bosonic System by Fermion in Quantum Cellular Automaton","authors":"S. Hamada, H. Sekino","doi":"10.4236/JQIS.2017.71002","DOIUrl":"https://doi.org/10.4236/JQIS.2017.71002","url":null,"abstract":"In one-dimensional multiparticle Quantum Cellular Automaton (QCA), the approximation of the bosonic system by fermion (boson-fermion correspondence) can be derived in a rather simple and intriguing way, where the principle to impose zero-derivative boundary conditions of one-particle QCA is also analogously used in particle-exchange boundary conditions. As a clear cut demonstration of this approximation, we calculate the ground state of few-particle systems in a box using imaginary time evolution simulation in 2nd quantization form as well as in 1st quantization form. Moreover in this 2nd quantized form of QCA calculation, we use Time Evolving Block Decimation (TEBD) algorithm. We present this demonstration to emphasize that the TEBD is most natu-rally regarded as an approximation method to the 2nd quantized form of QCA.","PeriodicalId":58996,"journal":{"name":"量子信息科学期刊(英文)","volume":"07 1","pages":"6-34"},"PeriodicalIF":0.0,"publicationDate":"2017-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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