Zobrazeno 1 - 10
of 540
pro vyhledávání: '"P Oeding"'
Autor:
Oeding, Luke, Tan, Ian
Verstraete, Dehaene, and De Moor (2003) showed that SLOCC invariants provide entanglement monotones. We observe that many highly entangled or useful four-qubit states that appear in prior literature are stationary points of such entanglement measures
Externí odkaz:
http://arxiv.org/abs/2410.08317
Autor:
Oeding, Luke, Tan, Ian
We introduce a broad lemma, one consequence of which is the higher order singular value decomposition (HOSVD) of tensors defined by DeLathauwer, DeMoor and Vandewalle (2000). By an analogous application of the lemma, we find a complex orthogonal vers
Externí odkaz:
http://arxiv.org/abs/2402.12542
Autor:
Oeding, Luke
We explain a Macaulay2 implementation of a construction, which appeared in [Holweck-Oeding arXiv:2206.13662], of a graded algebra structure on the direct sum of a Lie algebra $\mathfrak{g}$ (typically $\mathfrak{sl}_n$) and a $\mathfrak{g}$-module (t
Externí odkaz:
http://arxiv.org/abs/2312.11368
The absolute values of polynomial SLOCC invariants (which always vanish on separable states) can be seen as measures of entanglement. We study the case of real 3-qutrit systems and discover a new set of maximally entangled states (from the point of v
Externí odkaz:
http://arxiv.org/abs/2307.00970
Autor:
Kinjal D. Vasavada, Dhruv S. Shankar, Amanda Avila, Edward S. Mojica, Eoghan T. Hurley, Kevin Lehane, Scott D. Buzin, Jacob F. Oeding, Spencer M. Stein, Guillem Gonzalez-Lomas, Michael J. Alaia, Eric J. Strauss, Laith M. Jazrawi, Kirk A. Campbell
Publikováno v:
Surgeries, Vol 5, Iss 3, Pp 627-639 (2024)
Background: The use of telerehabilitation after sports medicine procedures such as an arthroscopic rotator cuff repair (ARCR) and anterior cruciate ligament reconstruction (ACLR) has rapidly increased in recent years; however, the functional outcomes
Externí odkaz:
https://doaj.org/article/fc2128e8d7a64d2daf555d32b434ab27
Autor:
Holweck, Frédéric, Oeding, Luke
Twenty years ago Cayley's hyperdeterminant, the degree four invariant of the polynomial ring $\mathbb{C}[\mathbb{C}^2\otimes\mathbb{C}^2\otimes \mathbb{C}^2]^{{\text{SL}_2(\mathbb{C})}^{\times 3}}$, was popularized in modern physics as separates genu
Externí odkaz:
http://arxiv.org/abs/2301.10660
Autor:
Bidleman, Dalton, Oeding, Luke
Publikováno v:
Collectanea Mathematica (2023): 1-21
Restricted secant varieties of Grassmannians are constructed from sums of points corresponding to $k$-planes with the restriction that their intersection has a prescribed dimension. We study dimensions of restricted secant of Grassmannians and relate
Externí odkaz:
http://arxiv.org/abs/2211.01469
Autor:
Holweck, Frederic, Oeding, Luke
We expand on an idea of Vinberg to take a tensor space and the natural Lie algebra that acts on it and embed their direct sum into an auxiliary algebra. Viewed as endomorphisms of this algebra, we associate adjoint operators to tensors. We show that
Externí odkaz:
http://arxiv.org/abs/2206.13662
Autor:
Oeding, Luke
Publikováno v:
Tr. Mosk. Mat. Obs., 83, no. 2, MCCME, M., 2022, 269-296
We give a translation of the article by L. V. Antonyan, "Classification of four-vectors of an eight-dimensional space," Trudy Sem. Vektor. Tenzor. Anal. 20 (1981), 144-161. MR622013. We include an appendix providing normal forms for each nilpotent or
Externí odkaz:
http://arxiv.org/abs/2205.09741
Autor:
Felix C. Oettl, Ayoosh Pareek, Philipp W. Winkler, Bálint Zsidai, James A. Pruneski, Eric Hamrin Senorski, Sebastian Kopf, Christophe Ley, Elmar Herbst, Jacob F. Oeding, Alberto Grassi, Michael T. Hirschmann, Volker Musahl, Kristian Samuelsson, Thomas Tischer, Robert Feldt, ESSKA Artificial Intelligence Working Group
Publikováno v:
Journal of Experimental Orthopaedics, Vol 11, Iss 3, Pp n/a-n/a (2024)
Abstract Artificial intelligence's (AI) accelerating progress demands rigorous evaluation standards to ensure safe, effective integration into healthcare's high‐stakes decisions. As AI increasingly enables prediction, analysis and judgement capabil
Externí odkaz:
https://doaj.org/article/1af373a9ad784a31a99c0d570ab45c80