Entanglement Capacity of Nonlocal Hamiltonians : A Geometric Approach

TL;DR

This paper introduces a geometric method to quantify and optimize the entanglement-generating capacity of nonlocal Hamiltonians acting on two qubits, providing both theoretical insights and an experimental approach.

Contribution

It presents a novel geometric framework for measuring entanglement capacity of two-qubit interactions, aligning with previous results and enabling experimental monitoring.

Findings

Reproduces earlier entanglement capacity results

Provides an experimental method to monitor entanglement optimization

Offers a geometric perspective on entanglement generation

Abstract

We develop a geometric approach to quantify the capability of creating entanglement for a general physical interaction acting on two qubits. We use the entanglement measure proposed by us for $N$-qubit pure states (PRA \textbf{77}, 062334 (2008)). Our procedure reproduces the earlier results (PRL \textbf{87}, 137901 (2001)). The geometric method has the distinct advantage that it gives an experimental way to monitor the process of optimizing entanglement production.