Single Carbon Nanotube--Superconductor Entangler: noise correlations and EPR states
arXiv:cond-mat/0206005 · doi:10.1088/0957-4484/14/1/318
Abstract
We propose a device which implements a solid-state nanostructured electron entangler. It consists of a single-walled carbon nanotube connected at both end to normal state electrodes and coupled in its middle part to a superconducting nanowire. Such a device acts as an electronic beam splitter for correlated electrons originating from the superconductor. We first show that it can be used to detect positive (bosonic--like) noise correlations in an fermionic system. Furthermore, it provides a source for entangled electrons in the two arms of the splitter. For generating entangled electron states, we propose two kinds of setup based either on spin or energy filters. It respectively consists of ferromagnetic pads and of a system of electrostatic gates which define quantum dots. The fabrication of this device would require state-of-the-art nanofabrication techniques, carbon nanotube synthesis and integration, as well as atomic force microscopy imaging and manipulation.
arXiv comment10 pages, 7 figures, updated version
References in corpus (29)
- Quantum state engineering with Josephson-junction devices
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Violation of Bell's inequality under strict Einstein locality conditions
- Manipulating the Quantum State of an Electrical Circuit
- Luttinger Liquid Behavior in Carbon Nanotubes
- Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
- Scanned Probe Microscopy of Electronic Transport in Carbon Nanotubes
- Landauer Conductance of Luttinger Liquids with Leads
- Transport in an inhomogeneous interacting one--dimensional system
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- Superconductivity in Ropes of Single-Walled Carbon Nanotubes
- Is there a renormalization of the 1D conductance in Luttinger Liquid model?
- Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
- Electronic Entanglement in the Vicinity of a Superconductor
- Bell inequalities and entanglement in solid state devices
- Correlated tunneling into a superconductor in a multiprobe hybrid structure
- Spin-Dependent Josephson Current through Double Quantum Dots and Measurement of Entangled Electron States
- Quantum entanglement in carbon nanotubes
- Long-Range Coherence in a Mesoscopic Metal near a Superconducting Interface
- Bolometric detection of mechanical bending waves in suspended carbon nanotubes
- Fractional excitations in the Luttinger liquid
- Doubled Shot Noise In Disordered Normal-Metal-Superconductor Junctions
- Finite-size effects in tunneling between parallel quantum wires
- Distribution functions and current-correlations in normal-metal--superconductor hetero-structures
- Paramagnetic reentrant effect in high purity mesoscopic AgNb proximity structures
- Effective charges and statistical signatures in the noise of normal metal--superconductor junctions at arbitrary bias
- Very low shot noise in carbon nanotubes
- Conductance of one-dimensional quantum wires
- Josephson Frequency Singularity in the Noise of Normal Metal-Superconductor Junctions
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- Carbon Nanotubes as Cooper Pair Beam Splitters
- Parity qubits and poor man's Majorana bound states in double quantum dots
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Recipes for spin-based quantum computing
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- Andreev scattering and cotunneling between two superconductor-normal metal interfaces : the dirty limit
- Quantum Dot coupled to a normal and a superconducting lead
- Quantum master equations for the superconductor--dot entangler
- Electron injection in a nanotube: noise correlations and entanglement
- Microscopic theory of Cooper pair beam splitters based on carbon nanotubes
- Shot noise and spin-orbit coherent control of entangled and spin polarized electrons
- Current correlations in the interacting Cooper-pair beam-splitter
- Electronic Hong-Ou-Mandel interferometer for multi-mode entanglement detection
- Shot-noise and conductance measurements of transparent superconductor / two-dimensional electron gas junctions
- Clauser-Horne inequality for electron counting statistics in multiterminal mesoscopic conductors
- A Ballistic Graphene Cooper Pair Splitter
- Full counting statistics of crossed Andreev reflection
- Dominant non-local superconducting proximity effect due to electron-electron interaction in a ballistic double nanowire
- Entanglement of electron spins in superconductors
- Positive current cross-correlations in a highly transparent normal-superconducting beam splitter due to synchronized Andreev and inverse Andreev reflections
- Quasiparticle entanglement: redefinition of the vacuum and reduced density matrix approach
- Electron spin teleportation current through a quantum dot array operating in the stationary regime
- Double quantum dot Cooper-pair splitter at finite couplings
- Entanglement transfer from electron spins to photons in spin light-emitting diodes containing quantum dots
- Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires
- Statistics of orbital entanglement production in quantum-chaotic dots
- Current and Shot Noise Measurements in a Carbon Nanotube-Based Spin Diode
- Charge transfer statistics and entanglement in normal-quantum dot-superconductor hybrid structures
- Fate of poor man's Majoranas in the long Kitaev chain limit
- Quartets and the Current-Phase Structure of a Double Quantum Dot Superconducting Bijunction at Equilibrium
- Entanglement detection for electrons via witness operators
- Theory of non-equilibrium noise in general multi-terminal superconducting hydrid devices: application to multiple Cooper pair resonances
- Entanglement production in non-ideal cavities and optimal opacity
- Entanglement production in chaotic quantum dots subject to spin-orbit coupling
- Cooper pair splitting in a nanoSQUID geometry at high transparency
- Clauser-Horne inequality and decoherence in mesoscopic conductors
- Divergent beams of nonlocally entangled electrons emitted from hybrid normal-superconducting structures
- Non local Andreev reflection in a carbon nanotube superconducting quantum interference device
- Current and shot noise in a normal metal-superconductor junction driven by spin-dependent periodic pulse sequence
- Maximal positive cross shot noise from Andreev reflection
- Quantum Coherence of Electrons Field-Emitted from a Superconductor: Correlations and Entanglement
- Entangled Photon-Pair Emission in Waveguide Circuit QED from a Cooper Pair Splitter
- Hanbury Brown and Twiss Correlations of Cooper Pairs in Helical Liquids
- Electron-electron interaction effects on transport through mesoscopic superconducting hybrid junctions
- Orbital entanglement and electron localization in quantum wires
- Generic model for Cooper pair splitting
- Currents and current correlations in a topological superconducting nanowire beam splitter
- Disordered Quantum Transport in Quantum Anomalous Hall Insulator-Superconductor Junctions
- Properties and prevalence of false poor man's Majoranas in two- and three-site artificial Kitaev chains