Entanglement of formation for a class of $(2\otimes d)$-dimensional systems

TL;DR

This paper derives an analytical formula for calculating the entanglement of formation in bipartite quantum systems with dimensions 2 by d, extending the known results beyond 2 by 2 systems.

Contribution

It provides the first analytical expression for entanglement of formation in (2×d) mixed states, surpassing previous bounds and approximations.

Findings

Analytical formula for (2×d) entanglement of formation derived

Enables exact quantification of entanglement in higher-dimensional bipartite states

Advances understanding of quantum entanglement measures

Abstract

Currently the entanglement of formation can be calculated analytically for mixed states in a $(2\otimes2)$-dimensional Hilbert space. For states in higher dimensional Hilbert space a closed formula for quantifying entanglement does not exist. In this regard only entanglement bounds has been found for estimating it. In this work, we find an analytical expression for evaluating the entanglement of formation for bipartite ($2\otimes d$)-dimensional mixed states.