Entanglement of Two Impurities through Electron Scattering

Abstract

We study how two magnetic impurities embedded in a solid can be entangled by an injected electron scattering between them and by subsequent measurement of the electron's state. We start by investigating an ideal case where only the electronic spin interacts successively through the same unitary operation with the spins of the two impurities. In this case, high (but not maximal) entanglement can be generated with a significant success probability. We then consider a more realistic description which includes both the forward and back scattering amplitudes. In this scenario, we obtain the entanglement between the impurities as a function of the interaction strength of the electron-impurity coupling. We find that our scheme allows us to entangle the impurities maximally with a significant probability.

References in corpus (28)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum Computation with Quantum Dots
• Coupled quantum dots as quantum gates
• Electron Spin Resonance Transistors for Quantum Computing in Silicon-Germanium Heterostructures
• Kondo physics in carbon nanotubes
• Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
• Kondo effect in an integer-spin quantum dot
• Electronic Entanglement in the Vicinity of a Superconductor
• Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
• Probing Entanglement and Non-locality of Electrons in a Double-Dot via Transport and Noise
• Noise of Entangled Electrons: Bunching and Antibunching
• Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
• Quantum computation using electrons trapped by surface acoustic waves
• Production and detection of entangled electron-hole pairs in a degenerate electron gas
• Spin-entangled currents created by a triple quantum dot
• Hydrogenic Spin Quantum Computing in Silicon: A Digital Approach
• Quantum entanglement in carbon nanotubes
• Electron Entanglement via a Quantum Dot
• Indirect Interaction of Solid-State Qubits via Two-Dimensional Electron Gas
• Generic entanglement generation, quantum statistics and complementarity
• Test of Bell's Inequality using the Spin Filter Effect in Ferromagnetic Semiconductor Micro-structures
• Interplay between Zeeman Coupling and Swap Action in Spin-based Quantum Computer Models: Error Correction in Inhomogeneous Magnetic Fields
• Impurity Scattering Induced Entanglement of Ballistic Electrons
• Robust generation of entanglement between two cavities mediated by short interactions with an atom
• Testing Bell's Inequality with Ballistic Electrons in Semiconductors
• Clauser-Horne inequality for electron counting statistics in multiterminal mesoscopic conductors
• Entanglement in Mesoscopic Structures: Role of Projection
• Coulomb scattering cross-section in a 2D electron gas and production of entangled electrons

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• Transmission properties of the one-dimensional array of delta potentials
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• Extraction of an Entanglement by Repetition of the Resonant Transmission of an Ancilla Qubit
• Generation of EPR pairs and interconversion of static and flying electron spin qubits
• State Tomography of a Qubit through Scattering of a Probe Qubit
• Dynamic generation of entangling wave packets in XY spin system with decaying long range couplings
• Impurity entanglement through electron scattering in a magnetic field
• Efficient electronic entanglement concentration assisted with single mobile electron
• Electronic control and switching of entangled spin state using anisotropy and exchange in the three-particle paradigm
• Large Spin Entangled Current from a Passive Device
• Transmission based tomography for spin qubits
• Recurrence in resonant transmission of one-dimensional array of delta potentials
• Two-spin entanglement induced by scattering of backscattering-free chiral electrons in a chern insulator
• Scattering solution of interacting Hamiltonian for electronic control of molecular spin qubits
• Entanglement-assisted tomography of a quantum target
• Entanglement Generation by a Three-Dimensional Qubit Scattering: Concurrence vs. Path (In)Distinguishability
• Entanglement of magnetic impurities through electron scattering in an electric field
• Topological Tenfold Classification and the Entanglement of Two Qubits
• Interaction between hopping and static spins in a discrete network
• Using near-flat-band electrons for read-out of molecular spin qubit entangled states