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Extremal spacings between unimodular eigenvalues of random unitary matrices of size N pertaining to circular ensembles are investigated. Probability distributions for the minimal spacing for various e...
Abstract: We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanics rests on...
Abstract: We investigate the properties of the inverse limit of the algebras of local unitary invariant polynomials of quantum systems containing various types of fermionic and/or bosonic particles as...
Abstract: We show that any symmetric norm on $\bR^n$ induces a metric on U(n), the group of all $n\times n$ unitary matrices. Using the same technique, we prove an inequality concerning the eigenvalue...
Abstract: We prove that the categories of smooth and analytic unitary representations of Banach--Lie supergroups are well-behaved under restriction functors, in the sense that the restriction of a rep...
Abstract: We develop an approach to study the entanglement in two coupled harmonic oscillators. We start by introducing an unitary transformation to end up with the solutions of the energy spectrum. T...
Abstract: In this paper we present the generating function method for the derivation of bosons polynomials of Gel'fand basis and Wigner coefficients for the canonical basis of SU(n). We find a new ana...
We construct all the bulk and boundary unitary cubic curvature parity invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For bulk unitarity, our construction is based on the p...
Aureliano de Mira Fernandes, born in 1884 in Portugal, was professor of Differential and Integral Calculus and Rational Mechanics, at Instituto Superior T´ecnico,from its foundation in 1911, onw...
A novel lattice approach is presented for studying systems comprising a large number of interacting nonrelativistic fermions.
We compare three different characterizations of the globalness of bipartite unitary operations based on different tasks, namely, delocalization power, entanglement cost for LOCC implementation, and e...
Entanglement in multipartite quantum systems, due to its importance in quantum information theory, became a topic of numerous investigations (see [1] for a recent comprehensive review of various aspe...
The large N limit of mean spectral density for the ensemble of NxN sub-unitary matrices derived by Wei and Fyodorov (J. Phys. A: Math. Theor. 41 (2008) 50201) is calculated by a modification of the sa...
We give a new quantum circuit approximation of quantum multiplexors based on the idea of complexity theory oracles. As an added bonus, our multiplexor approximation immediately gives a quantum circuit...

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