Clauser-Horne inequality and decoherence in mesoscopic conductors
arXiv:cond-mat/0505579 · doi:10.1103/PhysRevB.72.125333
Abstract
We analyze the effect of decoherence on the violation of the Clauser-Horne (CH) inequality for the full electron counting statistics in a mesoscopic multiterminal conductor. Our setup consists of an entangler that emits a flux of entangled electrons into two conductors characterized by a scattering matrix and subject to decoherence. Loss of phase memory is modeled phenomenologically by introducing fictitious extra leads. The outgoing electrons are detected using spin-sensitive electron counters. Given a certain average number of incoming entangled electrons, the CH inequality is evaluated as a function of the numbers of detected particles and on the various quantities characterizing the scattering matrix. When decoherence is turned on, we show that the amount of violation of the CH inequality is effectively reduced. Interestingly we find that, by adjusting the parameters of the system, there exists a protected region of values for which violation holds for arbitrary strong decoherence.
arXiv comment14 pages, 10 figures. Published version
References in corpus (38)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantum Computation with Quantum Dots
- Shot Noise in Mesoscopic Conductors
- Quantum state engineering with Josephson-junction devices
- Electron Counting Statistics and Coherent States of Electric Current
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- Electronic Entanglement in the Vicinity of a Superconductor
- Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
- Noise of Entangled Electrons: Bunching and Antibunching
- Spin-transport in multi-terminal normal metal - ferromagnet systems with non-collinear magnetizations
- Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
- Bell inequalities and entanglement in solid state devices
- Current measurement by real-time counting of single electrons
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Spin-entangled currents created by a triple quantum dot
- Quantum entanglement in carbon nanotubes
- Superconductor coupled to two Luttinger liquids as an entangler for electron spins
- Electron Entanglement via a Quantum Dot
- Charge fluctuation induced dephasing in a gated mesoscopic interferometer
- Test of Bell's Inequality using the Spin Filter Effect in Ferromagnetic Semiconductor Micro-structures
- Josephson junctions as threshold detectors for full counting statistics
- Spin current shot noise as a probe of interactions in mesoscopic systems
- Single Carbon Nanotube--Superconductor Entangler: noise correlations and EPR states
- A Josephson junction as a detector of Poissonian charge injection
- Dynamical Coulomb blockade and spin-entangled electrons
- Impurity Scattering Induced Entanglement of Ballistic Electrons
- Entangled electron current through finite size normal-superconductor tunneling structures
- Quantum master equations for the superconductor--dot entangler
- Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer
- Electrical current noise of a beam splitter as a test of spin-entanglement
- Quantum teleportation by particle-hole annihilation in the Fermi sea
- Lower bound for electron spin entanglement from beamsplitter current correlations
- Counting statistics for entangled electrons
- Clauser-Horne inequality for electron counting statistics in multiterminal mesoscopic conductors
- Statistical model of dephasing in mesoscopic devices introduced in the scattering matrix formalism
- Effect of dephasing on the current statistics of mesoscopic devices
- Coulomb scattering cross-section in a 2D electron gas and production of entangled electrons
- Production and detection of three-qubit entanglement in the Fermi sea
Cited by in corpus (7)
- Voltage and dephasing probes: a full counting statistics discussion
- Full counting statistics for voltage and dephasing probes
- Entanglement detection for electrons via witness operators
- Effect of inelastic scattering on spin entanglement detection through current noise
- Voltage probe model of spin decay in a chaotic quantum dot, with applications to spin-flip noise and entanglement production
- Divergent beams of nonlocally entangled electrons emitted from hybrid normal-superconducting structures
- Two electron entanglement enhancement by an inelastic scattering process