Sector operator inequalities involving positive linear maps
In this note, we prove the pth power ( p ≥ 2 $p\geq 2$ ) of two new sector operator inequalities for positive linear maps which are due to Bedrani et al. (Positivity 25:1601-1629, 2021) and Nasiri (Filomat 38:3429-3438, 2024), respectively.
Jiqin Chen +3 more
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Quadratic optimization of fixed points for a family of nonexpansive mappings in Hilbert space
Given a finite family of nonexpansive self-mappings of a Hilbert space, a particular quadratic functional, and a strongly positive selfadjoint bounded linear operator, Yamada et al.
B. E. Rhoades
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Hyper-parameter Tuning for Quantum Support Vector Machine
In recent years, the positive effect of quantum techniques on machine learning methods have been studied. Especially in training big data, quantum computing is beneficial in terms of speed.
DEMIRTAS, F., TANYILDIZI, E.
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Entanglement Witnesses Arising from Exposed Positive Linear Maps [PDF]
We consider entanglement witnesses arising from positive linear maps which generate exposed extremal rays. We show that every entangled state can be detected by one of these witnesses, and this witness detects a unique set of entangled states among those. Therefore, they provide a minimal set of witnesses to detect any kind of entanglement in a sense.
Ha, Kil-Chan, Kye, Seung-Hyeok
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Maps preserving matrices of extremal scrambling index
In this paper we characterize surjective linear maps on matrices over antinegative semirings that preserve the set of matrices with maximal or minimal positive values of the scrambling index.
Guterman A.E., Maksaev A.M.
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Exploring the relationships of between land surface temperature, ground coverage ratio and building volume density in an urbanized environment [PDF]
The objective of this study is to explore and compare the relationships between urban land surface temperature (LST), ground coverage ratio (GCR) and building volume density (BVD). Landsat ETM+ data of August 2011 and August 2013 are used to estimate the
Q. Zhan, F. Meng, Y. Xiao
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Some inequalities for positive linear maps
Let \(M_{n}( \mathbb{C} )\) be the algebra of all \(n\times n\) complex matrices and let \(\phi :M_{n}( \mathbb{C} )\rightarrow M_{n}( \mathbb{C} )\) be a positive unital map. The authors prove that if \(A\in M_{n}( \mathbb{C} )\), then \[ \phi (A^{\ast }A)-\phi (A)^{\ast }\phi (A)\leq \inf_{z\in \mathbb{C} }\left\| A-z\right\|.
Bhatia, Rajendra, Sharma, Rajesh
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Characterization of the order relation on the set of completely n-positive linear maps between C*-algebras [PDF]
In this paper we characterize the order relation on the set of all nondegenerate completely n-positive linear maps between C*-algebras in terms of a self-dual Hilbert module induced by each completely n-positive linear map.
Maria Joita +2 more
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Extremal problems for completely positive maps
In this note, we study the faces of some convex subsets of CPc(A,B(ℋ))(the continuous completely positive linear maps from pro-C*-algebra A to B(ℋ)).
Mingze Yang
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Crossed Product of a C*-Algebra by a Semigroup of Interactions
The paper presents a construction of the crossed product of a C*-algebra by a commutative semigroup of bounded positive linear maps generated by partial isometries.
Kwaśniewski B. K.
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