1 citations · 3 across the 7 of their papers we have counts for
7 papers
Iterative construction of group-adapted irreducible matrix units for the walled Brauer algebra
Michał Horodecki, Michał Studziński, 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…
Simple harmonic oscillators from non-semisimple walled Brauer algebras
Sanjaye Ramgoolam, Michał Studziński
Walled Brauer algebras illuminate the combinatorics of mixed tensor representations of , with copies of the fundamental and copies of the anti-fundam…
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…
Group-Adapted Irreducible Matrix Units for the Walled Brauer Algebra
Michał Studziński, Tomasz Młynik, Marek Mozrzymas +2
This paper investigates the representation theory of the algebra of partially transposed permutation operators, , which provides a matrix representation for th…
Multicopy quantum state teleportation with application to storage and retrieval of quantum programs
Frédéric Grosshans, Michał Horodecki, Mio Murao +4
This work considers a teleportation task for Alice and Bob in a scenario where Bob cannot perform corrections. In particular, we analyse the task of \textit{multicopy state telepor…
One-to-One Correspondence between Deterministic Port-Based Teleportation and Unitary Estimation
Satoshi Yoshida, Yuki Koizumi, Michał Studziński +2
Port-based teleportation is a variant of quantum teleportation, where the receiver can choose one of the ports in his part of the entangled state shared with the sender, but cannot…
From port-based teleportation to Frobenius reciprocity theorem: partially reduced irreducible representations and their applications
Marek Mozrzymas, Michał Horodecki, Michał Studziński
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…