Entanglement of formation for qubit-qudit system using partition of qudit sytem into a set of qubit system

TL;DR

This paper introduces a novel method to analyze entanglement in qubit-qudit systems by partitioning the qudit into multiple qubit-qubit pairs, enabling the use of existing qubit-qubit entanglement techniques.

Contribution

It proposes a new scheme to decompose qubit-qudit systems into multiple qubit-qubit subsystems for easier entanglement analysis, extending previous bounds.

Findings

The method successfully applies to systems with d=3 and d=5.

It allows the use of well-known qubit-qubit entanglement measures.

Demonstrates the practicality of the partitioning approach.

Abstract

Gerjuoy [Phys. Rev. A 67, 052308 (2003)] has derived a closed- form lower bound for the entanglement of formation of a mixed qubit-qudit system (qudit system has d levels with d>=3. In this paper, inspired by Gerjuoy's method, we propose a scheme that partitions a qubit-qudit system into d(d-1)/2 qubit-qubit systems, which can be treated by all known methods pertinent to qubit-qubit system. The method is demonstrated by a qubit-qudit system (The levels of qudit are d=3 and d=5, respectively)