# Quantum-capacity bounds in spin-network communication channels

## TL;DR

This paper derives upper bounds on quantum capacities in spin-network communication channels using Lieb-Robinson bounds, without assuming specific encoding mechanisms, advancing understanding of quantum information transfer limits.

## Contribution

It introduces a method to bound quantum capacities in spin networks without assumptions on encoding, broadening previous theoretical results.

## Key findings

- Derived upper bounds on quantum capacities
- Applicable to arbitrary network topologies
- No assumptions on encoding mechanisms

## Abstract

Using the Lieb-Robinson inequality and the continuity property of the quantum capacities in terms of the diamond norm, we derive an upper bound on the values that these capacities can attain in spin-network communication i.i.d. models of arbitrary topology. Differently from previous results we make no assumptions on the encoding mechanisms that the sender of the messages adopts in loading information on the network.