Results 11 to 20 of about 9,867 (115)

Complete controllability of quantum systems [PDF]

, 2001
Sufficient conditions for complete controllability of $N$-level quantum systems subject to a single control pulse that addresses multiple allowed transitions concurrently are established.
A. I. Solomon, H. Fu, H. Rabitz, J. F. Cornwell, M. D. Girardeau, M. Shaul, N. Jacobson, R. Gilmore, R. Hermann, S. Chelkowski, S. G. Schirmer, S. G. Schirmer, V. Jurdjevic, V. Ramakrishna, V. Ramakrishna, V. Ramakrishna, W. Zhu, Y. Ohtsuki   +17 more
core   +2 more sources

Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems

, 2020
When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue method, one should make sure that the computed spectrum satisfies the ...
Mehrmann, Volker, Van Dooren, Paul
core   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Quantum heat engines: limit cycles and exceptional points [PDF]

, 2018
We show that the inability of a quantum Otto cycle to reach a limit cycle is connected with the propagator of the cycle being non-compact. For a working fluid consisting of quantum harmonic oscillators, the transition point in parameter space where this ...
Andresen, Bjarne, Insinga, Andrea, Kosloff, Ronnie, Salamon, Peter   +3 more
core   +2 more sources

Noncommutative polygonal cluster algebras

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence

, 2017
Let $\mathbb F$ be a field of characteristic not $2$, and let $(A,B)$ be a pair of $n\times n$ matrices over $\mathbb F$, in which $A$ is symmetric and $B$ is skew-symmetric.
Bovdi, Victor A., Horn, Roger A., Salim, Mohamed A., Sergeichuk, Vladimir V.   +3 more
core   +1 more source

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

An Arbitrary Two-qubit Computation In 23 Elementary Gates [PDF]

, 2002
Quantum circuits currently constitute a dominant model for quantum computation. Our work addresses the problem of constructing quantum circuits to implement an arbitrary given quantum computation, in the special case of two qubits.
A. Barenco, A.Yu. Kitaev, C. Bennett, G. Cybenko, G. Song, Igor L. Markov, M. Lewenstein, M.J. Bremner, S. Hill, Stephen S. Bullock, V.V. Shende, É. Cartan   +11 more
core   +2 more sources

Unitarily invariant valuations on convex functions

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
wiley   +1 more source

The Critical Point of Unoriented Random Surfaces with a Non-Even Potential

, 1992
The discrete model of the real symmetric one-matrix ensemble is analyzed with a cubic interaction. The partition function is found to satisfy a recursion relation that solves the model.
Martín-Delgado, M. A.
core   +1 more source