Results 81 to 90 of about 2,704,058 (212)

Countable Tensor Products of Hermite Spaces and Spaces of Gaussian Kernels [PDF]

arXiv, 2021
In recent years finite tensor products of reproducing kernel Hilbert spaces (RKHSs) of Gaussian kernels on the one hand and of Hermite spaces on the other hand have been considered in tractability analysis of multivariate problems. In the present paper we study countably infinite tensor products for both types of spaces.
arxiv  

Tensor Products of Hilbert Spaces

, 2023
Given a finite or countably infinite family of Hilbert spaces \((H_j)_{j\in N} \), we study the Hilbert space tensor product \(\bigotimes_{j\in N} H_j\). In the general case, these tensor products were introduced by John von Neumann. We are especially interested in the case where each Hilbert space \(H_j\) is given as a reproducing kernel Hilbert space,
openaire  

Nuclear Physics in the Era of Quantum Computing and Quantum Machine Learning

Advanced Quantum Technologies, EarlyView.
The use of QML in the realm of nuclear physics at low energy is almost nonexistent. Three examples of the use of quantum computing and quantum machine in nuclear physics are presented: the determination of the phase/shape in nuclear models, the calculation of the ground state energy, and the identification of particles in nuclear physics experiments ...
José‐Enrique García‐Ramos, Álvaro Sáiz, José M. Arias, Lucas Lamata, Pedro Pérez‐Fernández   +4 more
wiley   +1 more source

Jointly A-hyponormal m-tuple of commuting operators and related results

AIMS Mathematics
In this paper, we aim to investigate the class of jointly hyponormal operators related to a positive operator $ A $ on a complex Hilbert space $ \mathcal{X} $, which is called jointly $ A $-hyponormal. This notion was first introduced by Guesba et al. in
Salma Aljawi, Kais Feki, Hranislav Stanković   +2 more
doaj   +1 more source

Proof of the Impossibility of Non-Contextual Hidden Variables in All Hilbert Space Dimensions [PDF]

arXiv, 1994
It is shown that the algebraic structure of finite Heisenberg groups associated with the tensor product of two Hilbert spaces leads to a simple demonstration valid in all Hilbert space dimensions of the impossibility of non-contextual hidden variables.
arxiv  

Statistical Complexity of Quantum Learning

Advanced Quantum Technologies, EarlyView.
The statistical performance of quantum learning is investigated as a function of the number of training data N$N$, and of the number of copies available for each quantum state in the training and testing data sets, respectively S$S$ and V$V$. Indeed, the biggest difference in quantum learning comes from the destructive nature of quantum measurements ...
Leonardo Banchi, Jason Luke Pereira, Sharu Theresa Jose, Osvaldo Simeone   +3 more
wiley   +1 more source

Generalization of Gisin’s theorem to quantum fields

New Journal of Physics
We generalize Gisin’s theorem on the relation between the entanglement of pure states and Bell non-classicality to the case of mode entanglement of separated groups of modes of quantum fields extending the theorem to cover also states with undefined ...
Konrad Schlichtholz, Marcin Markiewicz
doaj   +1 more source

Qoolchain: A QUBO Preprocessing Toolchain for Enhancing Quantum Optimization

Advanced Quantum Technologies, EarlyView.
This study introduces Qoolchain, a QUBO preprocessing toolchain developed in Cython to reduce problem size and enhance optimization solvers' performance, particularly for Grover Adaptive Search (GAS). Qoolchain includes persistency identification, decomposition, and probing to estimate function bounds, all with polynomial complexity and applies Grover ...
Giacomo Orlandi, Deborah Volpe, Mariagrazia Graziano, Giovanna Turvani   +3 more
wiley   +1 more source

Joint Wire Cutting with Non‐Maximally Entangled States

Advanced Quantum Technologies, EarlyView.
Wire cutting decomposes large quantum circuits into smaller subcircuits by severing connecting wires, enabling execution on multiple distributed devices. This study employs non‐maximally entangled (NME) states in joint wire cuts to reduce their overhead.
Marvin Bechtold, Johanna Barzen, Frank Leymann, Alexander Mandl, Felix Truger   +4 more
wiley   +1 more source

Open and Closed Loop Approaches for Energy Efficient Quantum Optimal Control

Advanced Quantum Technologies, EarlyView.
Concepts from quantum thermodynamics and optimal control are blended to derive a theoretical framework to quantify and minimize the energetic cost of a pulse for unitary synthesis. Two complementary techniques (based on GRAPE and Reinforce‐DRL) are implemented as open‐source software that co‐optimizes the fidelity and energetic cost within quantum ...
Sebastiaan Fauquenot, Aritra Sarkar, Sebastian Feld   +2 more
wiley   +1 more source