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of 5 169
pro vyhledávání: '"P Ende"'
We investigate the tomography of unknown unitary quantum processes within the framework of a finite-dimensional Wigner-type representation. This representation provides a rich visualization of quantum operators by depicting them as shapes assembled a
Externí odkaz:
http://arxiv.org/abs/2411.05404
Autor:
Ende, Frederik vom
We present a simple, dimension-independent criterion which guarantees that some quantum channel $\Phi$ is divisible, i.e. that there exists a non-trivial factorization $\Phi=\Phi_1\Phi_2$. The idea is to first define an "elementary" channel $\Phi_2$
Externí odkaz:
http://arxiv.org/abs/2407.17103
Autor:
Ende, Frederik vom
Publikováno v:
Open Syst. Inf. Dyn., 31:3 (2024), 2450012
We prove the statement "The collection of all elements of $\mathcal S$ which have only simple eigenvalues is dense in $\mathcal S$" for different sets $\mathcal S$, including: all quantum channels, the unital channels, the positive trace-preserving m
Externí odkaz:
http://arxiv.org/abs/2403.19643
In this paper, we establish some expressions of Mneimneh-type binomial sums involving multiple harmonic-type sums in terms of finite sums of Stirling numbers, Bell numbers and some related variables. In particular, we present some new formulas of Mne
Externí odkaz:
http://arxiv.org/abs/2403.17952
Recently, Mneimneh proved the remarkable identity \begin{align*} \sum_{k=0}^n H_k\binom{n}{k} p^k(1-p)^{n-k}=\sum_{i=1}^n \frac{1-(1-p)^i}{i}\quad (p\in [0,1]) \end{align*} as the main result of a 2023 \emph{Discrete Mathematics} paper, where $H_k:=\
Externí odkaz:
http://arxiv.org/abs/2403.04107
Autor:
Ende, Frederik vom
Publikováno v:
Infin. Dimens. Anal. Quantum Probab. Relat. Top., xx:x (2024), xxxxxxxx
Given any separable complex Hilbert space, any trace-class operator $B$ which does not have purely imaginary trace, and any generator $L$ of a norm-continuous one-parameter semigroup of completely positive maps we prove that there exists a unique bou
Externí odkaz:
http://arxiv.org/abs/2401.14344
Autor:
Ende, Frederik vom
Publikováno v:
Open Syst. Inf. Dyn., 31:2 (2024), 2450007
We generalize the result of Gorini, Kossakowski, and Sudarshan [J. Math. Phys. 17:821, 1976] that every generator of a quantum-dynamical semigroup decomposes uniquely into a closed and a dissipative part, assuming the trace of both vanishes. More pre
Externí odkaz:
http://arxiv.org/abs/2310.04037
Autor:
Md. Shariful Alam, Dadong Wang, Yulia Arzhaeva, Jesse Alexander Ende, Joanna Kao, Liz Silverstone, Deborah Yates, Olivier Salvado, Arcot Sowmya
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract Lung disease analysis in chest X-rays (CXR) using deep learning presents significant challenges due to the wide variation in lung appearance caused by disease progression and differing X-ray settings. While deep learning models have shown re
Externí odkaz:
https://doaj.org/article/35d2b4d8068744e7b639bbf5d220194f
Autor:
Thomas W. Ward, Mikki Schantell, Sarah M. Dietz, Grace C. Ende, Danielle L. Rice, Anna T. Coutant, Yasra Arif, Yu-Ping Wang, Vince D. Calhoun, Julia M. Stephen, Elizabeth Heinrichs-Graham, Brittany K. Taylor, Tony W. Wilson
Publikováno v:
Communications Biology, Vol 7, Iss 1, Pp 1-12 (2024)
Abstract Pediatric obesity rates have quadrupled in the United States, and deficits in higher-order cognition have been linked to obesity, though it remains poorly understood how deviations from normal body mass are related to the neural dynamics ser
Externí odkaz:
https://doaj.org/article/173541f6c68a4bf5afe3658aeaf89c9f
Autor:
Ende, Frederik vom
Publikováno v:
Quantum Inf. Comput., 23:15&16 (2023), 1319-1330
Given any pair of quantum channels $\Phi_1,\Phi_2$ such that at least one of them has Kraus rank one, as well as any respective Stinespring isometries $V_1,V_2$, we prove that there exists a unitary $U$ on the environment such that $\|V_1-({\bf1}\oti
Externí odkaz:
http://arxiv.org/abs/2308.15389