Zobrazeno 1 - 10
of 525
pro vyhledávání: '"81R05"'
The Weyl-Heisenberg symmetries originate from translation invariances of various manifolds viewed as phase spaces, e.g. Euclidean plane, semi-discrete cylinder, torus, in the two-dimensional case, and higher-dimensional generalisations. In this revie
Externí odkaz:
http://arxiv.org/abs/2412.14227
Autor:
Kim, Hyunmoon
We develop a correspondence between the orbits of the group of linear symplectomorphisms of a real finite dimensional symplectic vector space in the complex Lagrangian Grassmannian and the Grassmannians of linear subspaces of the real symplectic vect
Externí odkaz:
http://arxiv.org/abs/2410.16869
Quantum trajectories are Markov processes describing the evolution of a quantum system subject to indirect measurements. They can be viewed as place dependent iterated function systems or the result of products of dependent and non identically distri
Externí odkaz:
http://arxiv.org/abs/2409.18655
Autor:
Herrera, David
Resolving a conjecture of von Neumann, Ogata's theorem in arXiv:1111.5933 showed the highly nontrivial result that arbitrarily many matrices corresponding to macroscopic observables with $N$ sites and a fixed site dimension $d$ are asymptotically nea
Externí odkaz:
http://arxiv.org/abs/2409.14636
Autor:
Kopp, Gene S., Lagarias, Jeffrey C.
We consider the problem of counting and classifying symmetric informationally complete positive operator-valued measures (SICs or SIC-POVMs), that is, sets of $d^2$ equiangular lines in $\mathbb{C}^d$. For $4 \leq d \leq 90$, we show the number of kn
Externí odkaz:
http://arxiv.org/abs/2407.08048
Autor:
Bos, Len, Waldron, Shayne
We give a holomorphic quartic polynomial in the overlap variables whose zeros on the torus are precisely the Weyl-Heisenberg SICs (symmetric informationally complete positive operator valued measures). By way of comparison, all the other known system
Externí odkaz:
http://arxiv.org/abs/2405.14123
Autor:
Fritz, Tobias
It is an important feature of our existing physical theories that observables generate one-parameter groups of transformations. In classical Hamiltonian mechanics and quantum mechanics, this is due to the fact that the observables form a Lie algebra,
Externí odkaz:
http://arxiv.org/abs/2403.14458
Revisiting the results by Winternitz [Symmetry in physics, CRM Proc. Lecture Notes 34, American Mathematical Society, Providence, RI, 2004, pp. 215-227], we thoroughly refine his classification of Lie subalgebras of the real order-three special linea
Externí odkaz:
http://arxiv.org/abs/2403.02554
This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups $G$ acting on a non-compactly causal symmetric space $M = G/H$, every irreducible unitary representation of $G$ can be realized by boundary
Externí odkaz:
http://arxiv.org/abs/2401.17140
Autor:
Borner, Harald, Lorenz, Falko
We realize the Pauli group $P$ as Galois group of polynomials over the rational numbers. It is shown by construction that each pure polynomial in the infinite family of the form $X^8+k^2$ for $k\neq \lambda^2, 2\lambda^2; k,\lambda \in \mathbb{Q}^*$
Externí odkaz:
http://arxiv.org/abs/2401.07338