Embedding Quantum Simulators for Quantum Computation of Entanglement

TL;DR

This paper proposes embedding quantum simulators that efficiently compute entanglement measures by encoding quantum dynamics in an enlarged space, reducing experimental complexity and enabling applications to pure and mixed states.

Contribution

It introduces a novel embedding framework for quantum simulators that simplifies entanglement measurement and broadens the scope of quantum simulation capabilities.

Findings

Efficient computation of entanglement monotones without full tomography

Applicable to both pure and mixed quantum states

Reduces experimental requirements significantly

Abstract

We introduce the concept of embedding quantum simulators, a paradigm allowing the efficient quantum computation of a class of bipartite and multipartite entanglement monotones. It consists in the suitable encoding of a simulated quantum dynamics in the enlarged Hilbert space of an embedding quantum simulator. In this manner, entanglement monotones are conveniently mapped onto physical observables, overcoming the necessity of full tomography and reducing drastically the experimental requirements. Furthermore, this method is directly applicable to pure states and, assisted by classical algorithms, to the mixed-state case. Finally, we expect that the proposed embedding framework paves the way for a general theory of enhanced one-to-one quantum simulators.