Zobrazeno 1 - 10
of 999
pro vyhledávání: '"A. CANDELORI"'
Autor:
Candelori, Luca, Abanov, Alexander G., Berger, Jeffrey, Hogan, Cameron J., Kirakosyan, Vahagn, Musaelian, Kharen, Samson, Ryan, Smith, James E. T., Villani, Dario, Wells, Martin T., Xu, Mengjia
We propose a new data representation method based on Quantum Cognition Machine Learning and apply it to manifold learning, specifically to the estimation of intrinsic dimension of data sets. The idea is to learn a representation of each data point as
Externí odkaz:
http://arxiv.org/abs/2409.12805
For an $n$-qubit system, a rational function on the space of mixed states which is invariant with respect to the action of the group of local symmetries may be viewed as a detailed measure of entanglement. We show that the field of all such invariant
Externí odkaz:
http://arxiv.org/abs/2403.06346
We introduce the notion of an X-state on $n$-qubits. After taking the Zariski closure of the set of X-states in the space of all mixed states, we obtain a complex algebraic variety $\scr X$ that is equipped with the action of the Lie group of local s
Externí odkaz:
http://arxiv.org/abs/2402.17181
We calculate the field of rational local unitary invariants for mixed states of two qubits, by employing methods from algebraic geometry. We prove that this field is rational (i.e. purely transcendental), and that it is generated by nine algebraicall
Externí odkaz:
http://arxiv.org/abs/2305.16178
We compute the field of rational local unitary invariants for locally maximally mixed states and symmetrically mixed states of two qubits. In both cases, we prove that the field of rational invariants is purely transcendental. We also construct expli
Externí odkaz:
http://arxiv.org/abs/2304.13555
Autor:
Candelori, Luca, Salch, Andrew
The nondegeneracy of the Petersson inner product on cusp forms, and the fact that Hecke operators are self-adjoint with respect to the Petersson product, together imply that the cusp forms have a basis consisting of Hecke eigenforms. In the literatur
Externí odkaz:
http://arxiv.org/abs/2202.13171
The use of advanced quantum neuron models for pattern recognition applications requires fault tolerance. Therefore, it is not yet possible to test such models on a large scale in currently available quantum processors. As an alternative, we propose a
Externí odkaz:
http://arxiv.org/abs/2202.08306
Autor:
Candelori, Luca, Salch, Andrew
We study the eigenforms of the action of A. Baker's Hecke operators on the holomorphic elliptic homology of various topological spaces. We prove a multiplicity one theorem (i.e., one-dimensionality of the space of these "topological Hecke eigenforms"
Externí odkaz:
http://arxiv.org/abs/2201.00899
Autor:
Candelori, Luca, Patel, Yatin
We prove a conjecture of Udo Riese about the minimal ring of definition for principal series Weil characters of $\text{SL}_2(\mathbb{F}_p)$, for $p$ an odd prime. More precisely, we show that the $(p+1)/2$-dimensional Weil characters can be realized
Externí odkaz:
http://arxiv.org/abs/2110.14556
Publikováno v:
In Advances in Applied Mathematics February 2024 153
