100 citations · 232 across the 12 of their papers we have counts for
12 papers
Block circulant matrices with circulant blocks, weil sums and mutually unbiased bases, II. The prime power case
M. Combescure
In our previous paper \cite{co1} we have shown that the theory of circulant matrices allows to recover the result that there exists Mutually Unbiased Bases in dimension ,…
Circulant matrices, gauss sums and mutually unbiased I. The prime number case
M. Combescure
In this paper, we consider the problem of Mutually Unbiased Bases in prime dimension . It is known to provide exactly mutually unbiased bases. We revisit this problem usin…
Level rearrangement in exotic atoms and quantum dots
Monique Combescure, Avinash Khare, Ashok Raina +2
A presentation and a generalisation are given of the phenomenon of level rearrangement, which occurs when an attractive long-range potential is supplemented by a short-range attrac…
The Mutually Unbiased Bases Revisited
M. Combescure
The study of Mutually Unbiased Bases continues to be developed vigorously, and presents several challenges in the Quantum Information Theory. Two orthonormal bases in $\mathbb C^d,…
Quantum and Classical Fidelity for Singular Perturbations of the Inverted and Harmonic Oscillator
M. Combescure, A. Combescure
Let us consider the quantum/versus classical dynamics for Hamiltonians of the form \beq \label{0.1} H\_{g}^ε := \frac{P^2}{2}+ ε\frac{Q^2}{2}+ \frac{g^2}{Q^2} \edq where …
A phase-space study of the quantum Loschmidt Echo in the semiclassical limit
M. Combescure, D. Robert
The notion of Loschmidt echo (also called "quantum fidelity") has been introduced in order to study the (in)-stability of the quantum dynamics under perturbations of the Hamiltonia…