4 papers
Error exponents for tripartite-to-bipartite entanglement transformations
Péter Vrana
We consider distillation of ebits between a specified pair of subsystems from pure tripartite states by local operations and classical communication. It is known that, allowing an…
Error bounds for composite quantum hypothesis testing and a new characterization of the weighted Kubo-Ando geometric means
Péter E. Frenkel, Milán Mosonyi, Péter Vrana +1
The optimal error exponents of binary composite i.i.d.~state discrimination are trivially bounded by the worst-case pairwise exponents of discriminating individual elements of the…
Error exponents for entanglement transformations from degenerations
Dávid Bugár, Péter Vrana
This paper explores the trade-off relation between the rate and the strong converse exponent for asymptotic LOCC transformations between pure multipartite states. Any single-copy p…
Partial and weighted matrix multiplication
Péter Vrana
In a paper published in 1981, Schönhage showed that large total matrix multiplications can be reduced to powers of partial matrix multiplication tensors, which correspond to the bi…