Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities
arXiv:1605.00221 · doi:10.1103/PhysRevA.94.042119
Abstract
We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled superposition state described by , called the two-mode NOON state. The signatures are a violation of an EPR steering inequality based on an uncertainty relation. The violation confirms an EPR steering between the two modes and involves certification of an inter-mode correlation for number, as well as quadrature phase amplitude measurements. We also explain how the signatures certify an th order quantum coherence, so the system (for larger ) can be signified to be in a superposition of states distinct by a mesoscopic value of the two-mode quantum number difference. Finally, we examine the limitations imposed for lossy scenarios, discussing how experimental realisations may be possible for .
arXiv comment16 pages (9 pages text and 7 pages Appendix) with 2 Figures
References in corpus (58)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Significant-loophole-free test of Bell's theorem with entangled photons
- Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
- A strong loophole-free test of local realism
- Bell inequalities for arbitrarily high dimensional systems
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Super-resolving phase measurements with a multi-photon entangled state
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- Two-photon diffraction and quantum lithography
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- De Broglie Wavelength of a Nonlocal Four-Photon
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- A Quantum Rosetta Stone for Interferometry
- Quantum Superposition States of Bose-Einstein Condensates
- Bell's theorem for general N-qubit states
- Violation of local uncertainty relations as a signature of entanglement
- Observation of one-way Einstein-Podolsky-Rosen steering
- The creation of large photon-number path entanglement conditioned on photodetection
- Loophole-free Einstein-Podolsky-Rosen experiment via quantum steering
- Conclusive quantum steering with superconducting transition edge sensors
- Stimulated emission of polarization-entangled photons
- Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
- Four Photon Entanglement from Down Conversion
- Experimental observation of four-photon entanglement from down-conversion
- Signifying quantum benchmarks for qubit teleportation and secure communication using Einstein-Podolsky-Rosen steering inequalities
- Asymmetric Gaussian steering: when Alice and Bob disagree
- Conditional generation of N-photon entangled states of light
- Detecting large quantum Fisher information with finite measurement precision
- Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
- Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
- Homodyne tomography characterization and nonlocality of a dual-mode optical qubit
- Experimental Proof of Nonlocal Wavefunction Collapse for a Single Particle Using Homodyne Measurement
- A general framework for quantum macroscopicity in terms of coherence
- Nonlocality of a single particle
- Einstein-Podolsky-Rosen paradox and quantum steering in pulsed optomechanics
- Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states
- Experimental tomography of NOON states with large photon numbers
- Strong Violations of Bell-type Inequalities for Path-Entangled Number States
- Scalable quantum simulation of pulsed entanglement and Einstein-Podolsky-Rosen steering in optomechanics
- Decoherence of Einstein-Podolsky-Rosen steering
- Proposal for demonstrating the Hong-Ou-Mandel effect with matter waves
- Dynamical Realization of Macroscopic Superposition States of Cold Bosons in a Tilted Double Well
- Signatures for generalized macroscopic superpositions
- Nonlocality of a single photon: paths to an EPR-steering experiment
- Dual-path source engineering in integrated quantum optics
- Einstein-Podolsky-Rosen-steering using quantum correlations in non-Gaussian entangled states
- Violation of multi-particle Bell inequalities for low and high flux parametric amplification using both vacuum and entangled input states
- Criteria for generalized macroscopic and mesoscopic quantum coherence
- Stronger steerability criterion for more uncertain continuous variable systems
- Demonstrating mesoscopic superpositions in double-well Bose-Einstein condensates
- Macroscopic Local Realism Incompatible with Quantum Mechanics: Failure of Local Realism where Measurements give Macroscopic Uncertainties
- Bright continuous-variable entanglement from the quantum optical dimer
- Generation of modal and path-entangled photons using a domain-engineered integrated optical waveguide device
- NOON-state formation from Fock-state Bose-Einstein condensates
- Conditionally generating a mesoscopic superposition of N00N states
- Experimental Demonstration of Macroscopic Quantum Coherence in Gaussian States
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- Quantifying the mesoscopic quantum coherence of approximate NOON states and spin-squeezed two-mode Bose-Einstein condensates
- Full multipartite steering inseparability, genuine multipartite steering and monogamy for continuous variable systems
- NOON-state interference in the frequency domain
- Testing macroscopic local realism using cat-states and Bell inequalities in time
- Einstein-Podolsky-Rosen steering, depth of steering and planar spin squeezing in two-mode Bose-Einstein condensates
- Macroscopic delayed-choice and retrocausality: quantum eraser, Leggett-Garg and dimension witness tests with cat states
- Certification of non-Gaussian Einstein-Podolsky-Rosen Steering
- Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
- Generation of N00N-like interferences with two thermal light sources