Zobrazeno 1 - 10
of 56 224
pro vyhledávání: '"Geometric interpretation"'
Fidelity is crucial for characterizing transformations of quantum states under various quantum channels, which can be served as a fundamental tool in resource theories. Firstly, we define an $\alpha$-$z$-fidelity as a significant quantity in quantum
Externí odkaz:
http://arxiv.org/abs/2412.03444
Analytic continuations of holographic entanglement entropy in which the boundary subregion extends along a timelike direction have brought a promise of a novel, time-centric probe of the emergence of spacetime. We propose that the bulk carriers of th
Externí odkaz:
http://arxiv.org/abs/2408.15752
Autor:
Costandin, Marius
For $S \in \mathbb{N}^n$ and $T \in \mathbb{N}$, the Subset Sum Problem (SSP) $\exists^? x \in \{0,1\}^n $ such that $S^T\cdot x = T$ can be interpreted as the problem of deciding whether the intersection of the positive unit hypercube $Q_n = [0,1]^n
Externí odkaz:
http://arxiv.org/abs/2410.19024
Autor:
Song, JuAe, Nakajima, Yasuhito
We investigate Krull dimensions of semirings and semifields dealt in tropical geometry. For a congruence $C$ on a tropical Laurent polynomial semiring $\boldsymbol{T}[X_1^{\pm}, \ldots, X_n^{\pm}]$, a finite subset $T$ of $C$ is called a finite congr
Externí odkaz:
http://arxiv.org/abs/2408.02366
Autor:
Rebucci, Annalaura, Zizza, Martina
In this paper, we prove that if $X,Y$ are continuous, Sobolev vector fields with bounded divergence on the real plane and $[X,Y]=0$, then their flows commute. In particular, we improve the previous result of Colombo-Tione (2021), where the authors re
Externí odkaz:
http://arxiv.org/abs/2406.02340
Autor:
Chodos, Alan, Cooper, Fred
Publikováno v:
Symmetry 2024, 16, 887
We recently introduced a particular nonlinear generalization of quantum mechanics which has the property that it is exactly solvable in terms of the eigenvalues and eigenfunctions of the Hamiltonian of the usual linear quantum mechanics problem. In t
Externí odkaz:
http://arxiv.org/abs/2405.07289
Autor:
Mandolesi, André L. G.
Complex determinants, Gramians and blades (simple or decomposable multivectors) are related to volumes, but not in the same way as real ones. We present their complete geometric interpretations, including complex orientations. We also link real and c
Externí odkaz:
http://arxiv.org/abs/2403.17022
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We consider a classial case of irrational integrals containing a square root of a quadratic polynomial. It is well known that they can be expressed in terms of elementary functions by one of three Euler's substitutions. It is less known that the Eule
Externí odkaz:
http://arxiv.org/abs/2310.12160