Quantification of Wigner Negativity Remotely Generated via Einstein-Podolsky-Rosen Steering
arXiv:2104.00451 · doi:10.1038/s41534-022-00533-3
Abstract
Wigner negativity, as a well-known indicator of nonclassicality, plays an essential role in quantum computing and simulation using continuous-variable systems. Recently, it has been proven that Einstein-Podolsky-Rosen steering is a prerequisite to generate Wigner negativity between two remote modes. Motivated by the demand of real-world quantum network, here we investigate the shareability of generated Wigner negativity in the multipartite scenario from a quantitative perspective. By establishing a monogamy relation akin to the generalized Coffman-Kundu-Wootters inequality, we show that the amount of Wigner negativity cannot be freely distributed among different modes. Moreover, for photon subtraction -- one of the main experimentally realized non-Gaussian operations -- we provide a general method to quantify the remotely generated Wigner negativity. With this method, we find that there is no direct quantitative relation between the Gaussian steerability and the amount of generated Wigner negativity. Our results pave the way for exploiting Wigner negativity as a valuable resource for numerous quantum information protocols based on non-Gaussian scenario.
References in corpus (49)
- Quantum information with continuous variables
- Inseparability criterion for continuous variable systems
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Continuous variable quantum cryptography using coherent states
- Universal Quantum Computation with Continuous-Variable Cluster States
- Negativity of the Wigner function as an indicator of nonclassicality
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Quantum Illumination with Gaussian States
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- On the impossibility of distilling Gaussian states with Gaussian operations
- Quantum Steering
- Quantum steering: a review with focus on semidefinite programming
- Positive Wigner functions render classical simulation of quantum computation efficient
- Hybrid quantum information processing
- Quantification of Gaussian quantum steering
- Observation of one-way Einstein-Podolsky-Rosen steering
- Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
- A No-Go Theorem for Gaussian Quantum Error Correction
- Non-Gaussian entanglement distillation for continuous variables
- Non-Gaussian Quantum States and Where to Find Them
- Genuine multipartite Einstein-Podolsky-Rosen steering
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Spatially distributed multipartite entanglement enables Einstein-Podolsky-Rosen steering of atomic clouds
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- Optimum mixed-state discrimination for noisy entanglement-enhanced sensing
- Maximal Violation of Bell's Inequalities for Continuous Variable Systems
- Convex resource theory of non-Gaussianity
- Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
- Non-Gaussian quantum states of a multimode light field
- Genuine High-Order Einstein-Podolsky-Rosen Steering
- Observation of Three-Photon Spontaneous Parametric Downconversion in a Superconducting Parametric Cavity
- Demonstration of monogamy relations for Einstein-Podolsky-Rosen steering in Gaussian cluster states
- Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
- Monogamy inequalities for the EPR paradox and quantum steering
- Classifying directional Gaussian quantum entanglement, EPR steering and discord
- Schur complement inequalities for covariance matrices and monogamy of quantum correlations
- Deterministic distribution of multipartite entanglement and steering in a quantum network by separable states
- Experimental validation of quantum steering ellipsoids and tests of volume monogamy relations
- Volume monogamy of quantum steering ellipsoids for multi-qubit systems
- Nonlinear Interferometry via Fock State Projection
- Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
- Remote generation of Wigner-negativity through Einstein-Podolsky-Rosen steering
- Versatile Multipartite Einstein-Podolsky-Rosen Steering via a Quantum Frequency Comb
- Conditional non-Gaussian quantum state preparation
- Quantum non-Gaussianity and secure quantum communication
- Strong subadditivity for log-determinant of covariance matrices and its applications
- Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
- Counting Classical Nodes in Quantum Networks
- Mode-Dependent Loss Model for Multimode Photon-Subtracted States
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- Engineering Bosonic Codes with Quantum Lattice Gates
- Coupled three-mode squeezed vacuum: Gaussian steering and remote generation of Wigner negativity
- Sufficient Wigner Negativity Implies Genuine Multipartite Entanglement
- Quantum signatures and semiclassical limitations in the transmission of Fock states