Entanglement Generation by a Three-Dimensional Qubit Scattering: Concurrence vs. Path (In)Distinguishability

TL;DR

This paper presents a three-dimensional scattering scheme to generate entanglement between two spin-1/2 particles, analyzing how path distinguishability affects entanglement using concurrence at various perturbation orders.

Contribution

It introduces a novel three-dimensional scattering approach for entanglement generation and evaluates concurrence considering path (in)distinguishability effects with perturbation analysis.

Findings

Entanglement depends on path (in)distinguishability.

Concurrence is analyzed at lowest and full perturbation order.

Renormalization is used for accurate concurrence calculation.

Abstract

A scheme for generating an entangled state in a two spin-1/2 system by means of a spin-dependent potential scattering of another qubit is presented and analyzed in three dimensions. The entanglement is evaluated in terms of the concurrence both at the lowest and in full order in perturbation with an appropriate renormalization for the latter, and its characteristics are discussed in the context of (in)distinguishability of alternative paths for a quantum particle.