Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Multi-port-based Teleportation Schemes   In this paper, we introduce optimal versions of a multi-port based
teleportation scheme allowing to send a large amount of quantum information. We
fully characterise probabilistic and deterministic case by presenting
expressions for the average probability of success and entanglement fidelity.
In the probabilistic case, the final expression depends only on global
parameters describing the problem, such as the number of ports $N$, the number
of teleported systems $k$, and local dimension $d$. It allows us to show square
improvement in the number of ports with respect to the non-optimal case. We
also show that the number of teleported systems can grow when the number $N$ of
ports increases as $o(N)$ still giving high efficiency. In the deterministic
case, we connect entanglement fidelity with the maximal eigenvalue of a
generalised teleportation matrix. In both cases the optimal set of measurements
and the optimal state shared between sender and receiver is presented. All the
results are obtained by formulating and solving primal and dual SDP problems,
which due to existing symmetries can be solved analytically. We use extensively
tools from representation theory and formulate new results that could be of the
separate interest for the potential readers.

2
The categories of this paper are: math
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ