Entanglement in Algebraic Quantum Mechanics: Majorana fermion systems

TL;DR

This paper explores the nature of many-body entanglement in Majorana fermion systems using an algebraic approach, providing a complete characterization of non-separable states and potential applications in quantum metrology.

Contribution

It introduces an algebraic framework for understanding entanglement in Majorana systems, moving beyond particle tensor products to characterize non-separable states.

Findings

Complete characterization of non-separable Majorana states

Entanglement properties derived from algebraic partitions

Potential for sub-shot noise quantum metrology

Abstract

Many-body entanglement is studied within the algebraic approach to quantum physics in systems made of Majorana fermions. In this framework, the notion of separability stems from partitions of the algebra of observables and properties of the associated correlation functions, rather than on particle tensor products. This allows obtaining a complete characterization of non-separable Majorana fermion states. These results may find direct applications in quantum metrology: using Majorana systems, sub-shot noise accuracy in parameter estimations can be achieved without preliminary, resource consuming, state entanglement operations.