6 papers
Simple harmonic oscillators from non-semisimple walled Brauer algebras
Sanjaye Ramgoolam, MichaÅ StudziÅski
Walled Brauer algebras illuminate the combinatorics of mixed tensor representations of , with copies of the fundamental and copies of the anti-fundam…
Multicopy quantum state teleportation with application to storage and retrieval of quantum programs
Frédéric Grosshans, MichaŠHorodecki, 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, MichaÅ StudziÅski +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…
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…