60 citations
5 papers
Asymptotic correctability of Bell-diagonal quantum states and maximum tolerable bit error rates
Kedar S. Ranade, Gernot Alber
The general conditions are discussed which quantum state purification protocols have to fulfill in order to be capable of purifying Bell-diagonal qubit-pair states, provided they c…
Models of Non-Well-Founded Sets via an Indexed Final Coalgebra Theorem
Benno van den Berg, Federico De Marchi
The paper uses the formalism of indexed categories to recover the proof of a standard final coalgebra theorem, thus showing existence of final coalgebras for a special class of fun…
Products of Foldable Triangulations
Michael Joswig, Nikolaus Witte
Regular triangulations of products of lattice polytopes are constructed with the additional property that the dual graphs of the triangulations are bipartite. The (weighted) size d…
Fluctuation pressure of a fluid membrane between walls through six loops
Boris Kastening
The fluctuation pressure that an infinitely extended fluid membrane exerts on two enclosing parallel hard walls is computed. Variational perturbation theory is used to extract the…
Security bound of two-bases quantum key-distribution protocols using qudits
Georgios M. Nikolopoulos, Gernot Alber
We investigate the security bounds of quantum cryptographic protocols using -level systems. In particular, we focus on schemes that use two mutually unbiased bases, thus extendi…