Results 81 to 90 of about 2,226,866 (302)
Advanced Science, EarlyView.An unambiguous quantum state discrimination for two nonorthogonal states is demonstrated using a single ion. By implementing a non‐Hermitian Hamiltonian with parity‐time‐reversal (PT) symmetry, two candidate states evolve with different speed and become orthogonal at specific time, hence can be discriminated unambiguously. Experiments are performed for
Chenhao Zhu +5 more
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Hessian equations of Krylov type on compact Hermitian manifolds
Open Mathematics, 2022 In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
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A new class of Matrix Models arising from the W-infinity Algebra
, 2002 We present a new class of hermitian one-matrix models originated in the W-infinity algebra: more precisely, the polynomials defining the W-infinity generators in their fermionic bilinear form are shown to expand the orthogonal basis of a class of random ...
't Hooft +24 more
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Hermitian Adjacency Matrix of Digraphs and Mixed Graphs [PDF]
Journal of Graph Theory, 2015 The article gives a thorough introduction to spectra of digraphs via its Hermitian adjacency matrix. This matrix is indexed by the vertices of the digraph, and the entry corresponding to an arc from x to y is equal to the complex unity i (and its ...
Krystal Guo, B. Mohar
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Advanced Intelligent Systems, EarlyView.The combination of a parity‐time symmetry wireless technology with a cholesterol sensor integrated into a smart contact lens enables high‐sensitivity cholesterol sensing at low concentration. Cholesterol plays a critical role in physiological functions, but elevated levels increase the risk of cardiovascular disease.
Yang Cui +4 more
wiley +1 more source
Journal of Inequalities and Applications, 2016 In this paper, we present a direct method to solve the least-squares Hermitian problem of the complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$ with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, F ...
Peng Wang, Shifang Yuan, Xiangyun Xie
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Spacing ratio statistics of multiplex directed networks
New Journal of Physics, 2023 Eigenvalues statistics of various many-body systems have been widely studied using the nearest neighbor spacing distribution under the random matrix theory framework.
Tanu Raghav, Sarika Jalan
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HS-integral and Eisenstein integral mixed circulant graphs
Theory and Applications of Graphs, 2023 A mixed graph is called \emph{second kind hermitian integral} (\emph{HS-integral}) if the eigenvalues of its Hermitian-adjacency matrix of the second kind are integers.
Monu Kadyan, Bikash Bhattacharjya
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Signatures of the Correlated‐Hopping Interaction in Non‐Linear Transport Through a Quantum Dot
Annalen der Physik, EarlyView.Non‐linear thermoelectric transport through a quantum dot is studied, in order to elucidate the signatures of so‐called correlated hopping. The line shapes of the differential conductance and the Seebeck coefficient as functions of gate voltage are clear indicators of this important interaction term.
Ulrich Eckern, Karol I. Wysokiński
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Scattering cross section resonance originating from a spectral singularity
, 2011 Using techniques of supersymmetric quantum mechanics, scattering properties of Hermitian Hamiltonians, which are related to non-Hermitian ones by similarity transformations, are studied.
Samsonov, Boris F.
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