scholarly journals Maximum violation of Wigner inequality for two-spin entangled states with parallel and antiparallel polarizations

2018 ◽  
Vol 16 (05) ◽  
pp. 1850041 ◽  
Author(s):  
Yan Gu ◽  
Haifeng Zhang ◽  
Zhigang Song ◽  
J.-Q. Liang ◽  
L.-F. Wei

The experimental test of Bell’s inequality is mainly focused on Clauser–Horne–Shimony–Holt (CHSH) form, which provides a quantitative bound, while little attention has been paid to the violation of Wigner inequality (WI). Based on the spin coherent state quantum probability statistics, we in the present paper extend the WI and its violation to arbitrary two-spin entangled states with antiparallel and parallel spin-polarizations. The local part of density operator gives rise to the WI while the violation is a direct result of nonlocal interference between two components of the entangled states. The Wigner measuring outcome correlation denoted by [Formula: see text] is always less than or at most equal to zero for the local realist model ([Formula: see text]) regardless of the specific initial state. On the other hand, the violation of WI is characterized by any positive value of [Formula: see text], which possesses a maximum violation bound [Formula: see text] [Formula: see text]. We conclude that the WI is equally convenient for the experimental test of violation by the quantum entanglement.

2008 ◽  
Vol 06 (01) ◽  
pp. 187-200 ◽  
Author(s):  
NASSER METWALLY

In this article, we investigate the purity dynamics of entangled 2 two-level atoms interacting with a single quantized electromagnetic field. We show that the purity of the qubit pairs depends on the initial state of the atomic system. It is found that the superposition case is the best choice to generate entangled states with high purity and hence high entanglement. It is clear that the purity of one qubit can be purified at the expense of the other pair through the phenomena of purity swapping. The mean photon number plays an important role in increasing the purity. The robustness of the quantum channel is investigated in the presence of individual attacks, where we study the separability of these channels and evaluate its fidelity. Finally, we use the partial entangled states as quantum channels to perform the original coding protocol. We find that Bob can obtain the coded information with reasonable percentage. The inequality of security is tested, where we determine the interval of times in which Alice and Bob can communicate securely. These intervals depend on the type of error and the structure of the initial atomic system.


Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1134
Author(s):  
Kenta Higuchi ◽  
Takashi Komatsu ◽  
Norio Konno ◽  
Hisashi Morioka ◽  
Etsuo Segawa

We consider the discrete-time quantum walk whose local dynamics is denoted by a common unitary matrix C at the perturbed region {0,1,⋯,M−1} and free at the other positions. We obtain the stationary state with a bounded initial state. The initial state is set so that the perturbed region receives the inflow ωn at time n(|ω|=1). From this expression, we compute the scattering on the surface of −1 and M and also compute the quantity how quantum walker accumulates in the perturbed region; namely, the energy of the quantum walk, in the long time limit. The frequency of the initial state of the influence to the energy is symmetric on the unit circle in the complex plain. We find a discontinuity of the energy with respect to the frequency of the inflow.


1985 ◽  
Vol 71 (3) ◽  
pp. 171-175
Author(s):  
C. D. T. Low

SummaryThis study was conducted to determine the extent to which elderly patients constitute a special problem in plastic surgery. In 1983 patients aged 60 years and over accounted for 3 7% of all admissions to the plastic surgery ward at the Dundee Royal Infirmary and 52% of all patient-days there; they tended to stay longer than other patients and cost the Health Service more than £130000. About one-third of admissions were as a direct result of accidents; of the other two-thirds, the majority was for the treatment of malignancies. In the study, special consideration was given to delayed healing after surgery and other problems arising while these patients were in hospital, and the reasons for prolonged stays. The study confirms that there is a problem which is stretching available resources.


2019 ◽  
Vol 34 (23) ◽  
pp. 1950185 ◽  
Author(s):  
Massimo Giovannini

The degree of second-order coherence of the relic gravitons produced from the vacuum is super-Poissonian and larger than in the case of a chaotic source characterized by a Bose–Einstein distribution. If the initial state does not minimize the tensor Hamiltonian and has a dispersion smaller than its averaged multiplicity, the overall statistics is by definition sub-Poissonian. Depending on the nature of the sub-Poissonian initial state, the final degree of second-order coherence of the quanta produced by stimulated emission may diminish (possibly even below the characteristic value of a chaotic source) but it always remains larger than one (i.e. super-Poissonian). When the initial statistics is Poissonian (like in the case of a coherent state or for a mixed state weighted by a Poisson distribution) the degree of second-order coherence of the produced gravitons is still super-Poissonian. Even though the quantum origin of the relic gravitons inside the Hubble radius can be effectively disambiguated by looking at the corresponding Hanbury Brown–Twiss correlations, the final distributions caused by different initial states maintain their super-Poissonian character which cannot be altered.


1991 ◽  
Vol 69 (7) ◽  
pp. 433-441 ◽  
Author(s):  
Jack Ferrier ◽  
Angela Kesthely ◽  
Eva Lagan ◽  
Conrad Richter

A model for cytosolic Ca2+ spikes is presented that incorporates continual influx of Ca2+, uptake into an intracellular compartment, and Ca2+-induced Ca2+ release from the compartment. Two versions are used. In one, release is controlled by explicit thresholds, while in the other, release is a continuous function of cytosolic and compartmental [Ca2+]. Some model predictions are as follows. Starting with low Ca2+ influx and no spikes: (1) induction of spiking when Ca2+ influx is increased. Starting with spikes: (2) increase in magnitude and decrease in frequency when influx is reduced; (3) inhibition of spiking if influx is greatly reduced; (4) decrease in the root-mean-square value when influx is increased; and (5) elimination of spiking if influx is greatly increased. Since there is good evidence that hyperpolarizing spikes reflect cytosolic Ca2+ spikes, we used electrophysiological measurements to test the model. Each model prediction was confirmed by experiments in which Ca2+ influx was manipulated. However, the original spike activity tended to return within 5–30 min, indicating a cellular resetting process.Key words: calcium, electrophysiology, mathematical modelling.


2021 ◽  
Author(s):  
Yuan Mai Elaine Cheong

This major research paper relates my experiences as a Chinese woman to those of other East Asian women while exploring why East Asian women continue to be sexualized and ethnicized. My paper is based on the feminist standpoint and anti-racist feminist theories, and feminist and post-modern methodologies. The focus is on the Chinese immigration experience to North America, and on Chinese women's lives, with some consideration of Korean and Japanese women because the latter two share similarities in experiences of homogenization of East Asian women. I argue that the experiences of every woman are unique because of their race, migration and settlement experiences. I borrow Ang's (2001) term "togetherness in differences" to describe our experiences. The stereotypes of East Asians and East Asian women are not created in a vacuum; rather they are the direct result of the dominant culture oppressing the "other" in the effort to subordinate them.


2013 ◽  
Vol 13 (5&6) ◽  
pp. 430-438
Author(s):  
Takuya Machida

Since a limit distribution of a discrete-time quantum walk on the line was derived in 2002, a lot of limit theorems for quantum walks with a localized initial state have been reported. On the other hand, in quantum probability theory, there are four notions of independence (free, monotone, commuting, and boolean independence) and quantum central limit theorems associated to each independence have been investigated. The relation between quantum walks and quantum probability theory is still unknown. As random walks are fundamental models in the Kolmogorov probability theory, can the quantum walks play an important role in quantum probability theory? To discuss this problem, we focus on a discrete-time 2-state quantum walk with a non-localized initial state and present a limit theorem. By using our limit theorem, we generate probability laws in the quantum central limit theorems from the quantum walk.


2019 ◽  
pp. 81-116
Author(s):  
Hamish van der Ven

This chapter tests the aiming big hypothesis by tracing the origin and evolution of four eco-labeling organizations in sustainable aquaculture: the Aquaculture Stewardship Council (ASC), Best Aquaculture Practices (BAP), Friend of the Sea (FOS), and Naturland. The chapter argues that stronger adherence to best practices in the ASC and BAP programs is a direct result of their decision to target large multinational retailers for certification. Conversely, the comparatively poor performance of the other two eco-labeling organizations can be traced to their decisions to target smaller firms in domestic markets. The chapter uses comparative case studies and within-case process tracing to reveal how decisions about who to target for certification impacted best practice adherence through the causal mechanisms outlined in chapter 3. The four cases analyzed in this chapter cast further doubt on alternate theories of credibility, such as the relevance of ownership or geographic location to credibility.


2019 ◽  
Vol 949 ◽  
pp. 40-47 ◽  
Author(s):  
Sergey Guk ◽  
Eva Augenstein ◽  
Maksim Zapara ◽  
Rudolf Kawalla ◽  
Ulrich Prahl

The present paper deals with the influence of the duration of isothermal spheroidization annealing on the evolution of pearlite bands in various initial states. In this study, two initial conditions of the steel 16MnCrS5 are considered: a) industrially hot-rolled pearlite structures in their ferritic matrix and b) a specifically adjusted microstructure in the lab condition. Based on the experimental investigations and quantitative microstructural analyses, an empirical model for the prediction of pearlite banding within a broad range of annealing durations could be derived. Both, experiment and model, agree that pronounced pearlite bands in the initial state almost disappear after 25 h of spheroidization annealing. On the other hand, a marginal degree of pearlite banding in the initial state increases slightly during annealing. This fact could be explained by inhomogeneous cementite formation inside and outside the primary segregation regions of manganese.


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