4 papers · 1 filter
Iterative construction of group-adapted irreducible matrix units for the walled Brauer algebra
MichaÅ Horodecki, MichaÅ StudziÅski, Marek Mozrzymas
In this work, we present an algorithmic treatment of the representation theory of the algebra of partially transposed permutation operators, denoted by , which…
Group-Adapted Irreducible Matrix Units for the Walled Brauer Algebra
MichaÅ StudziÅski, Tomasz MÅynik, Marek Mozrzymas +2
This paper investigates the representation theory of the algebra of partially transposed permutation operators, , which provides a matrix representation for th…
Entanglement recycling in two-step port-based teleportation
Piotr Kopszak, Dmitry Grinko, Adam Burchardt +3
A protocol involving the repetitive (twofold, to be precise) application of PBT protocol to the same resource is studied. The quantities characterizing the resulting protocol, so-c…
From port-based teleportation to Frobenius reciprocity theorem: partially reduced irreducible representations and their applications
Marek Mozrzymas, MichaÅ Horodecki, MichaÅ StudziÅski
In this paper, we present the connection of two concepts as induced representation and partially reduced irreducible representations (PRIR) appear in the context of port-based tele…