Optimal dynamical control of many-body entanglement

TL;DR

This paper introduces an algebraic method to derive optimal control Hamiltonians that efficiently generate highly entangled many-body quantum states resilient to decoherence, addressing a key challenge in quantum science.

Contribution

It presents a novel algebraic approach for designing optimal control Hamiltonians to rapidly produce robust entangled states in many-body quantum systems.

Findings

Derivation of control Hamiltonians for entanglement generation

Efficient entanglement creation under realistic interactions

Enhanced robustness of entangled states against decoherence

Abstract

The preparation of highly entangled many-body systems is one of the central challenges of both basic and applied science. The complexity of interparticle interaction and environment coupling increases rapidly with the number of to-be-entangled subsystems, rendering the requirements on the control of many-body quantum systems ever more restrictive. We propose an approach that allows to derive optimal control Hamiltonians in a purely algebraic fashion. These drive a composite quantum system rapidly into that highly entangled state which can be created most efficiently for a given interaction mechanism, and which bears entanglement that is robust against decoherence.