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 (17)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Universal Quantum Computation with Continuous-Variable Cluster States
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Quantum Illumination with Gaussian States
- 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 Quantum States and Where to Find Them
- Optimum mixed-state discrimination for noisy entanglement-enhanced sensing
- Genuine High-Order Einstein-Podolsky-Rosen 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
- Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
- Quantum non-Gaussianity and secure quantum communication
- Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
Cited by in corpus (9)
- Experimental demonstration of remotely creating Wigner negativity via quantum steering
- Remote preparation of optical cat states based on Gaussian entanglement
- Homodyne detection of non-Gaussian quantum steering
- On Quantum Steering and Wigner Negativity
- Two-mode light states before and after delocalized single-photon addition
- 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