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7 papers · 2 filters
Hopf Algebra Structure of a Model Quantum Field Theory
A. I. Solomon, G. E. H. Duchamp, P. Blasiak +2
Recent elegant work on the structure of Perturbative Quantum Field Theory (PQFT) has revealed an astonishing interplay between analysis(Riemann Zeta functions), topology (Knot theo…
Evaluable multipartite entanglement measures: are multipartite concurrences entanglement monotones?
Rafal Demkowicz-Dobrzanski, Andreas Buchleitner, Marek Kus +1
We discuss the monotonicity under local operations and classical communication (LOCC) of systematically constructed quantities aiming at quantification of entanglement properties o…
Formulation of the uncertainty relations in terms of the Renyi entropies
Iwo Bialynicki-Birula
Quantum mechanical uncertainty relations for position and momentum are expressed in the form of inequalities involving the Renyi entropies. The proof of these inequalities requires…
How to hide a secret direction
E. Bagan, J. Calsamiglia, R. Demkowicz-Dobrzanski +1
We present a procedure to share a secret spatial direction in the absence of a common reference frame using a multipartite quantum state. The procedure guarantees that the parties…
Distribution of G-concurrence of random pure states
Valerio Cappellini, Hans-Juergen Sommers, Karol Zyczkowski
Average entanglement of random pure states of an N x N composite system is analyzed. We compute the average value of the determinant D of the reduced state, which forms an entangle…
Analytical solutions for the dynamics of two trapped interacting ultracold atoms
Zbigniew Idziaszek, Tommaso Calarco
We discuss exact solutions of the Schroedinger equation for the system of two ultracold atoms confined in an axially symmetric harmonic potential. We investigate different geometri…