Detecting nonlocal Cooper pair entanglement by optical Bell inequality violation

Abstract

Based on the Bardeen Cooper Schrieffer (BCS) theory of superconductivity, the coherent splitting of Cooper pairs from a superconductor to two spatially separated quantum dots has been predicted to generate nonlocal pairs of entangled electrons. In order to test this hypothesis, we propose a scheme to transfer the spin state of a split Cooper pair onto the polarization state of a pair of optical photons. We show that the produced photon pairs can be used to violate a Bell inequality, unambiguously demonstrating the entanglement of the split Cooper pairs.

arXiv comment11 pages, 9 figures, v3 with added references

References in corpus (25)

• Experimental quantum teleportation
• A computable measure of entanglement
• Advances in Quantum Metrology
• Quantum Cryptography with Entangled Photons
• On the role of entanglement in quantum computational speed-up
• Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
• Prospects for Spin-Based Quantum Computing
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Electronic Entanglement in the Vicinity of a Superconductor
• Noise of Entangled Electrons: Bunching and Antibunching
• Bell inequalities and entanglement in solid state devices
• Spin-Dependent Josephson Current through Double Quantum Dots and Measurement of Entangled Electron States
• Vertical beaming of wavelength-scale photonic crystal resonators
• Test of Bell's Inequality using the Spin Filter Effect in Ferromagnetic Semiconductor Micro-structures
• Cavity-stimulated Raman emission from a single quantum dot spin
• Entanglement detection from conductance measurements in carbon nanotube Cooper pair splitters
• Subradiant split Cooper pairs
• Coupling an electron spin in a semiconductor quantum dot to an optical nano-cavity
• Entanglement transfer from electron spins to photons in spin light-emitting diodes containing quantum dots
• Entanglement of nanoelectromechanical oscillators by Cooper-pair tunneling
• Probing individual split Cooper-pairs using the spin qubit toolkit
• Confocal microphotoluminescence mapping of coupled and detuned states in photonic molecules
• Probing coherent Cooper pair splitting with cavity photons
• Entanglement transfer from electrons to photons in quantum dots: An open quantum system approach
• Quantum transport signatures of chiral edge states in Sr${}_2$RuO${}_4$

Cited by in corpus (19)

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• Transport signatures of an Andreev molecule in a quantum dot -- superconductor -- quantum dot setup
• Signatures of nonlocal Cooper-pair transport and of a singlet-triplet transition in the critical current of a double-quantum-dot Josephson junction
• Nonlocal quantum heat engines made of hybrid superconducting devices
• Spin correlation and entanglement detection in Cooper pair splitters by current measurements using magnetic detectors
• Double quantum dot Cooper-pair splitter at finite couplings
• From Cooper pair splitting to the non-local spectroscopy of a Shiba state
• Andreev-Coulomb Drag in Coupled Quantum Dots
• Josephson response of a conventional and a noncentrosymmetric superconductor coupled via a double quantum dot
• Detection of Nonlocal Spin Entanglement by Light Emission from a Superconducting p-n Junction
• Non local quantum state engineering with the Cooper pair splitter beyond the Coulomb blockade regime
• Luminescence and Squeezing of a Superconducting Light Emitting Diode
• Thermoelectric processes of quantum normal-superconductor interfaces
• Lasing in a coupled hybrid double quantum dot-resonator system
• Single-photon pump by Cooper-pair splitting
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Photonic cross-noise spectroscopy of Majorana bound states
• Entangled Photon-Pair Emission in Waveguide Circuit QED from a Cooper Pair Splitter
• Anisotropic Purity of Entangled Photons From Cooper Pairs in Heterostructures