Results 1 to 10 of about 458,761 (298)
On positive linear maps preserving invertibility
A positive linear map \(\Phi\) between two \(C^*\)-algebras is a Jordan homomorphism if \(\Phi\) preserves invertibility and the range of \(\Phi\) is a \(C^*\)-algebra. A counterexample is given for the case that the range of \(\Phi\) is not assumed to be a \(C^*\)-algebra; this answers a question raised by \textit{B. Russo} [Proc. Am. Math. Soc.
Choi, M-D. +4 more
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A note on inequalities for positive linear maps
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Sharma, Rajesh, Devi, P., Kumari, R.
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Schmidt states and positivity of linear maps
Using pure entangled Schmidt states, we show that m-positivity of a map is bounded by the ranks of its negative Kraus matrices. We also give an algebraic condition for a map to be m-positive. We interpret these results in the context of positive maps as entanglement witnesses, and find that only 1-positive maps are needed for testing entanglement.
Kuah, Aik-meng, Sudarshan, E. C. G.
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Gruess inequality for some types of positive linear maps
Assuming a unitarily invariant norm $|||\cdot|||$ is given on a two-sided ideal of bounded linear operators acting on a separable Hilbert space, it induces some unitarily invariant norms $|||\cdot|||$ on matrix algebras $\mathcal{M}_n$ for all finite values of $n$ via $|||A|||=|||A\oplus 0|||$. We show that if $\mathscr{A}$ is a $C^*$-algebra of finite
Matharu, Jagjit Singh +1 more
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Background independent tensor networks
Conventional holographic tensor networks can be described as toy holographic maps constructed from many small linear maps acting in a spatially local way, all connected together with "background entanglement", i.e.
Chris Akers, Annie Y. Wei
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Topographic variables such as slope and elevation partially explain spatial variations in aboveground biomass (AGB) within landscapes. Human activities that impact vegetation, such as cattle grazing and shifting cultivation, often follow topographic ...
Miguel A. Salinas‐Melgoza +2 more
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On the Grüss inequality for unital 2-positive linear maps [PDF]
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A new proof for monotonicity of sandwiched Renyi relative entropy
Itis well known that in quantum information quantum relative is monotonically decreasing under the completely positive and trace-preserving maps. For a new proposed sandwiched R\'enyi quantum relative, a map that is linear trace-preserving and whose ...
wang you le, Luo Maokang, DENG Ke
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Dimension of the set of positive solutions to nonlinear equations and applications
We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
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We present a measurement of the full shape of the power spectrum of the thermal Sunyaev–Zel’dovich (tSZ) effect down to arcminute scales using cosmic microwave background (CMB) data from the South Pole Telescope (SPT) over a roughly 100 deg ^2 field. The
S. Raghunathan +142 more
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