Zobrazeno 1 - 10
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pro vyhledávání: '"attainability"'
Autor:
Puig, Ricard, Sekatski, Pavel, Erdman, Paolo Andrea, Abiuso, Paolo, Calsamiglia, John, Perarnau-Llobet, Martí
We consider the estimation of an unknown parameter $\theta$ via a many-body probe. The probe is initially prepared in a product state and many-body interactions enhance its $\theta$-sensitivity during the dynamics and/or in the steady state. We prese
Externí odkaz:
http://arxiv.org/abs/2412.02754
Autor:
Sano, Megumi
We give a simple proof of the existence of a minimizer for the Sobolev inequality. Our proof is based on a representation formula via a cut-off fundamental solution.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2409.16567
Autor:
Conlon, Lorcan, Koh, Jin Ming, Shajilal, Biveen, Sidhu, Jasminder, Lam, Ping Koy, Assad, Syed M.
One of the fundamental tenets of quantum mechanics is that non-orthogonal states cannot be distinguished perfectly. When distinguishing multiple copies of a mixed quantum state, a collective measurement, which generates entanglement between the diffe
Externí odkaz:
http://arxiv.org/abs/2408.06678
Autor:
Sun, Liming, Wang, Lei
We consider a type of Hardy-Sobolev inequality, whose weight function is singular on the whole domain boundary. We are concerned with the attainability of the best constant of such inequality. In dimension two, we link the inequality to a conformally
Externí odkaz:
http://arxiv.org/abs/2405.09795
In this paper we obtain optimal multipolar Rellich inequality for biharmonic Schrodinger operator with positive multi-singular potentials. Moreover, we prove the attainability of the best constant and the criticality of the biharmonic Schrodinger ope
Externí odkaz:
http://arxiv.org/abs/2406.17350
Akademický článek
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The symmetric logarithmic derivative Cram\'er-Rao bound (SLDCRB) provides a fundamental limit to the minimum variance with which a set of unknown parameters can be estimated in an unbiased manner. It is known that the SLDCRB can be saturated provided
Externí odkaz:
http://arxiv.org/abs/2404.01520
Akademický článek
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