Born’s Rule from Contextual Relative-Entropy Minimization [PDF]
We give a variational characterization of the Born rule. For each measurement context, we project a quantum state ρ onto the corresponding abelian algebra by minimizing Umegaki relative entropy; Petz’s Pythagorean identity makes the dephased state the ...
Arash Zaghi
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Complexity of equational theory of relational algebras with standard projection elements [PDF]
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Szabolcs Mikulás +2 more
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Extreme learning with projection relational algebraic secured data transmission for big cloud data [PDF]
SummaryCloud Computing (CC) and big data are growing technology in the business. Big data is demonstrated in terms of volume, variety, and velocity. CC is employed for storing, processing, and accessing data. Many cryptographic techniques have been developed to enhance big data security in cloud computing.
G. Sakthivel, P. Madhubala
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Zelevinski algebras related to projective representations [PDF]
We define L L - PSH \operatorname {PSH} -algebras, and prove a classification theorem for such objects. The letters refer respectively to a ground ring L L and to the positivity, selfadjointness and Hopf structures on an algebra, the basic example of which occurred in the study of projective ...
Bean, M., Hoffman, P.
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Truth Space Method for Caching Database Queries
We propose a new method of client-side data caching for relational databases with a central server and distant clients. Data are loaded into the client cache based on queries executed on the server. Every query has the corresponding DB table – the result
S. V. Mosin, S. V. Zykin
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Partial group algebra with projections and relations [PDF]
We introduce the notion of the partial group algebra with projections and relations and show that this C*-algebra is a partial crossed product. Examples of partial group algebras with projections and relations are the Cuntz-Krieger algebras and the unitization of C*-algebras of directed graphs.
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Projective resolutions over Artin algebras with zero relations
One proves that gl.dim \(A\leq n+1\) for finite dimensional algebras over a field K whose ordinary quiver is a tree and a minimal set of relations has cardinality n. Using covering techniques one shows also that, for a finite dimensional zero relations K-algebra B with m minimal relations, \(gl.\dim B=\infty\) or \(gl.\dim B\leq m^ 2+2.\)
Green, E. L., Happel, D., Zacharia, D.
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Relations and trails in lattices of projections in W*-algebras [PDF]
AbstractThis paper concernsHH-relations in the latticesP(M) of all projections of W*-algebrasM. IfMis a finite algebra, all these relations are generated by trails inP(M). IfMis an infinite countably decomposable factor, they are either generated by trails or associated with them.
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A non-integrated hypersurface defect relation for meromorphic maps over complete Kähler manifolds into projective algebraic varieties [PDF]
In this paper, a non-integrated defect relation for meromorphic maps from complete K hler manifolds $M$ into smooth projective algebraic varieties $V$ intersecting hypersurfaces located in $k$-subgeneral position is proved. The novelty of this result lies in that both the upper bound and the truncation level of our defect relation depend only on $k$, $
Chen, Wei, Han, Qi
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Deformation of the Okubic Albert algebra and its relation to the Okubic affine and projective planes
We present a deformation of the Okubic Albert algebra introduced by Elduque whose rank-1 idempotent elements are in biunivocal correspondence with points of the Okubic projective plane, thus extending to Okubic algebras the correspondence found by Jordan, Von Neumann, Wigner between the octonionic projective plane and the rank-3 Exceptional Jordan ...
Corradetti, Daniele +2 more
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