Entanglement Generation by Qubit Scattering in Three Dimensions
arXiv:0904.4762 · doi:10.1103/PhysRevA.80.012310
Abstract
A qubit (a spin-1/2 particle) prepared in the up state is scattered by local spin-flipping potentials produced by the two target qubits (two fixed spins), both prepared in the down state, to generate an entangled state in the latter when the former is found in the down state after scattering. The scattering process is analyzed in three dimensions, both to lowest order and in full order in perturbation, with an appropriate renormalization for the latter. The entanglement is evaluated in terms of the concurrence as a function of the incident and scattering angles, the size of the incident wave packet, and the detector resolution, to clarify the key elements for obtaining an entanglement with high quality. The characteristics of the results are also discussed in the context of (in)distinguishability of alternative paths for a quantum particle.
21 pages, 19 figures, the final version
References in corpus (15)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantum Computation with Quantum Dots
- Storage and retrieval of single photons transmitted between remote quantum memories
- Information and Computation: Classical and Quantum Aspects
- Entanglement of remote atomic qubits
- Entanglement of Two Impurities through Electron Scattering
- Robust generation of entanglement between two cavities mediated by short interactions with an atom
- Entanglement Controlled Single-Electron Transmittivity
- Resonant Scattering Can Enhance the Degree of Entanglement
- Electron Fabry-Perot interferometer with two entangled magnetic impurities
- Extraction of Singlet States from Noninteracting High-Dimensional Spins
- Distillation of Entanglement between Distant Systems by Repeated Measurements on Entanglement Mediator
- On the generation of multipartite entangled states in Josephson architectures
- Effect of Static Disorder in an Electron Fabry-Perot Interferometer with Two Quantum Scattering Centers
- A Simple Scheme to Entangle Distant Qubits from a Mixed State via an Entanglement Mediator
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- State Tomography of a Qubit through Scattering of a Probe Qubit
- Entanglement Generation by a Three-Dimensional Qubit Scattering: Concurrence vs. Path (In)Distinguishability
- Entanglement of magnetic impurities through electron scattering in an electric field
- Interaction between hopping and static spins in a discrete network