Certification of non-Gaussian Einstein-Podolsky-Rosen Steering
arXiv:2308.13867 · doi:10.1088/2058-9565/ad124b
Abstract
Non-Gaussian quantum states are a known necessary resource for reaching a quantum advantage and for violating Bell inequalities in continuous variable systems. As one kind of manifestation of quantum correlations, Einstein-Podolsky-Rosen (EPR) steering enables verification of shared entanglement even when one of the subsystems is not characterized. However, how to detect and classify such an effect for non-Gaussian states is far from being well understood. Here, we present an efficient non-Gaussian steering criterion based on the high-order observables and conduct a systematic investigation into the hierarchy of non-Gaussian steering criteria. Moreover, we apply our criterion to three experimentally-relevant non-Gaussian states under realistic conditions and, in particular, propose a feasible scheme to create multi-component cat states with tunable size by performing a suitable high-order quadrature measurement on the steering party. Our work reveals the fundamental characteristics of non-Gaussianity and quantum correlations, and offers new insights to explore their applications in quantum information processing.
References in corpus (68)
- Bell nonlocality
- Peres-Horodecki separability criterion for continuous variable systems
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Secure Quantum Key Distribution
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- On the impossibility of distilling Gaussian states with Gaussian operations
- Quantum Steering
- Quantum metrology with entangled coherent states
- Detecting genuine multipartite continuous-variable entanglement
- Non-classical correlations between single photons and phonons from a mechanical oscillator
- Bound entangled Gaussian states
- Quantum steering: a review with focus on semidefinite programming
- Positive Wigner functions render classical simulation of quantum computation efficient
- Hybrid quantum information processing
- Fisher Information and entanglement of non-Gaussian spin states
- Gaussian transformations and distillation of entangled Gaussian states
- Entanglement conditions for two-mode states
- Encoding a qubit in a trapped-ion mechanical oscillator
- Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
- Increasing entanglement between Gaussian states by coherent photon subtraction
- Quantum Nonlocality in Phase Space
- A Schrodinger Cat Living in Two Boxes
- Non-Gaussian entanglement distillation for continuous variables
- Implementation of Continuous-Variable Quantum Key Distribution with Composable and One-Sided-Device-Independent Security Against Coherent Attacks
- Non-Gaussian Quantum States and Where to Find Them
- Genuine multipartite Einstein-Podolsky-Rosen steering
- Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
- Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution
- Bosonic quantum error correction codes in superconducting quantum circuits
- Unconditional security of entanglement-based continuous-variable quantum secret sharing
- Entangled Mechanical Oscillators
- Remote generation of magnon Schrödinger cat state via magnon-photon entanglement
- Non-Gaussian quantum states of a multimode light field
- Observation of Three-Photon Spontaneous Parametric Downconversion in a Superconducting Parametric Cavity
- Unified criteria for multipartite quantum nonlocality
- Optimal randomness certification in the quantum steering and prepare-and-measure scenarios
- Contradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements
- Maximal randomness expansion from steering inequality violations using qudits
- Cat codes with optimal decoherence suppression for a lossy bosonic channel
- Observation of micro-macro entanglement of light
- Criteria for genuine N-partite continuous variable entanglement and Einstein-Podolsky_Rosen steering
- Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox
- Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states
- Steady-state one-way Einstein-Podolsky-Rosen steering in optomechanical interfaces
- A flying Schrödinger cat in multipartite entangled states
- Resources for bosonic quantum computational advantage
- Experimental Measurement-Device-Independent Quantum Steering and Randomness Generation Beyond Qubits
- Decoherence of Einstein-Podolsky-Rosen steering
- Experimental demonstration of remotely creating Wigner negativity via quantum steering
- Tripartite Genuine Non-Gaussian Entanglement in Three-Mode Spontaneous Parametric Downconversion
- Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling
- Split spin-squeezed Bose-Einstein Condensates
- Criteria for generalized macroscopic and mesoscopic quantum coherence
- Remote preparation of optical cat states based on Gaussian entanglement
- Quantum steering of Gaussian states via non-Gaussian measurements
- Steering Criteria via Covariance Matrices of Local Observables in Arbitrary Dimensional Quantum Systems
- Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
- Characterizing Multipartite Non-Gaussian Entanglement for Three-Mode Spontaneous Parametric Down-Conversion Process
- Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables
- Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities
- Generating optical cat states via quantum interference of multi-path free-electron-photons interactions
- Detecting Einstein-Podolsky-Rosen steering in non-Gaussian spin states from conditional spin-squeezing parameters
- Homodyne detection of non-Gaussian quantum steering
- Non-Gaussian state generation certified using the EPR-steering inequality
- Inseparability Criterion Using Higher-Order Schrödinger-Robertson Uncertainty Relation
- Invariant theoretic approach to uncertainty relations for quantum systems