scholarly journals A Class of Bistochastic Positive Optimal Maps in Md(ℂ)

2015 ◽  
Vol 22 (03) ◽  
pp. 1550016 ◽  
Author(s):  
Adam Rutkowski ◽  
Gniewomir Sarbicki ◽  
Dariusz Chruściński

We provide a straightforward generalization of a positive map in [Formula: see text] considered recently by Miller and Olkiewicz [5]. It is proved that these maps are optimal and indecomposable. As a byproduct we provide a class of PPT entangled states in [Formula: see text].

2004 ◽  
Vol 4 (5) ◽  
pp. 383-395
Author(s):  
H. Aschauer ◽  
J. Calsamiglia ◽  
M. Hein ◽  
H.J. Briegel

We present local invariants of multi-partite pure or mixed states, which can be easily calculated and have a straight-forward physical meaning. As an application, we derive a new entanglement criterion for arbitrary mixed states of $n$ parties. The new criterion is weaker than the partial transposition criterion but offers advantages for the study of multipartite systems. A straightforward generalization of these invariants allows for the construction of a complete set of observable polynomial invariants.


2015 ◽  
Vol 22 (02) ◽  
pp. 1550011 ◽  
Author(s):  
Marek Miller ◽  
Robert Olkiewicz

We study stable subspaces of positive extremal maps of finite dimensional matrix algebras that preserve trace and matrix identity (so-called bistochastic maps). We have established the existence of the isometric-sweeping decomposition for such maps. As the main result of the paper, we have shown that all extremal bistochastic maps acting on the algebra of matrices of size 3×3 fall into one of the three possible categories, depending on the form of the stable subspace of the isometric-sweeping decomposition. Our example of an extremal atomic positive map seems to be the first one that handles the case of that subspace being non-trivial. Lastly, we compute the entanglement witness associated with the extremal map and specify a large family of entangled states detected by it.


Author(s):  
Vladimir Gavrilov ◽  
Tatyana Antipova ◽  
Yan Vlasov ◽  
Sergey Ardatov ◽  
Anastasia Ardatova

In their previous works , leading their history since 1988, the authors of this article have repeatedly conceptually shown and experimentally verified the results of research on the teleportation of information between macro objects. Early author's works were performed during the existence of the Russian Federation – as a country called the Union of Soviet Socialist Republics (USSR). Some of which were marked "Top Secret" - links further down the text. Since they were performed under the supervision of the relevant special services and further "Department of external relations of the Russian Academy of Sciences". The authors used numerous examples to demonstrate the possibility of teleportation of information in macro-systems, including ecosystem, biogeocenotic levels, and then tissue and organism levels. Successful experimental verifications occurred only in cases when all the principles and rules laid down in the theory of quantum information, applied to biological objects, were correctly combined. Namely, the preparation of cascades of entangled States was performed both on the mental and somatic levels. In full accordance with the principle of complementarity and taking into account the fact that the observer and the observed are actively connected by the sum of similarities. In addition, the role of the classical communication channel in this process was performed by carrier electromagnetic fields modulated by a useful signal. This signal represented a cast of the simulated experimental process. An example of a real COVID-19 pandemic is the verification of author's works in nature on a biogeocenotic scale. And certainly with anthropogenic – so to speak-participation.


Author(s):  
Richard Healey

Quantum entanglement is popularly believed to give rise to spooky action at a distance of a kind that Einstein decisively rejected. Indeed, important recent experiments on systems assigned entangled states have been claimed to refute Einstein by exhibiting such spooky action. After reviewing two considerations in favor of this view I argue that quantum theory can be used to explain puzzling correlations correctly predicted by assignment of entangled quantum states with no such instantaneous action at a distance. We owe both considerations in favor of the view to arguments of John Bell. I present simplified forms of these arguments as well as a game that provides insight into the situation. The argument I give in response turns on a prescriptive view of quantum states that differs both from Dirac’s (as stated in Chapter 2) and Einstein’s.


2021 ◽  
Vol 126 (9) ◽  
Author(s):  
Ye-Chao Liu ◽  
Jiangwei Shang ◽  
Rui Han ◽  
Xiangdong Zhang

2021 ◽  
Vol 400 ◽  
pp. 127322
Author(s):  
S.M. Zangi ◽  
Cong-Feng Qiao
Keyword(s):  

2021 ◽  
Vol 118 (13) ◽  
pp. 134001
Author(s):  
Yajun Wang ◽  
Wenhui Zhang ◽  
Ruixin Li ◽  
Long Tian ◽  
Yaohui Zheng
Keyword(s):  

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