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27 papers · 2 filters
Analytic structure and power-series expansion of the Jost function for the two-dimensional problem
S. A. Rakityansky, N. Elander
For a two-dimensional quantum mechanical problem, we obtain a generalized power-series expansion of the S-matrix that can be done near an arbitrary point on the Riemann surface of…
Combinatorial structure of a holonomic controlled phase gate
Hoshang Heydari
We investigate the combinatorial structures of a holonomic controlled quantum gate based on toric varieties. In particular, we in detail discuss the combinatorial structures of a t…
Geometrical structures of multipartite quantum systems
Hoshang Heydari
In this paper I will investigate geometrical structures of multipartite quantum systems based on complex projective varieties. These varieties are important in characterization of…
Geometry of the set of mixed quantum states: An apophatic approach
Ingemar Bengtsson, Stephan Weis, Karol Życzkowski
The set of quantum states consists of density matrices of order , which are hermitian, positive and normalized by the trace condition. We analyze the structure of this set in th…
Bell inequalities from variable elimination methods
Costantino Budroni, Adan Cabello
Tight Bell inequalities are facets of Pitowsky's correlation polytope and are usually obtained from its extreme points by solving the hull problem. Here we present an alternative m…
State-independent quantum contextuality and maximum nonlocality
Adan Cabello
Recently, Yu and Oh [Phys. Rev. Lett. 108, 030402 (2012)] have conjectured that the simplest set of vectors needed to prove state-independent contextuality on a qutrit requires 13…