Quantum map approach to entanglement transfer and generation in spin chains

TL;DR

This paper introduces a quantum map formalism to analyze entanglement transfer and generation in spin chains, providing a unified framework for existing protocols and exploring new multi-qubit entanglement methods.

Contribution

It reformulates quantum communication protocols using quantum maps, enabling analysis of complex entanglement processes in spin networks.

Findings

Unified quantum map framework for spin chain protocols

Reformulation of state transfer and entanglement distribution

Exploration of multi-qubit entanglement generation

Abstract

Quantum information processing protocols are efficiently implemented on spin-$\frac{1}{2}$ networks. A quantum communication protocol generally involves a certain number of parties having local access to a subset of a larger system, whose intrinsic dynamics are exploited in order to perform a specific task. In this chapter, we address such a scenario with the quantum dynamical map formalism, where the dynamics of the larger system is expressed as a quantum map acting on the parties' access to their respective subsets of spins. We reformulate widely investigated protocols, such as one-qubit quantum state transfer and two-qubit entanglement distribution, with the quantum map formalism and demonstrate its usefulness in exploring less investigated protocols such as multi-qubit entanglement generation.