Breaking Gaussian incompatibility on continuous variable quantum systems
arXiv:1505.00833 · doi:10.1063/1.4928044
Abstract
We characterise Gaussian quantum channels that are Gaussian incompatibility breaking, that is, transform every set of Gaussian measurements into a set obtainable from a joint Gaussian observable via Gaussian postprocessing. Such channels represent local noise which renders measurements useless for Gaussian EPR-steering, providing the appropriate generalisation of entanglement breaking channels for this scenario. Understanding the structure of Gaussian incompatibility breaking channels contributes to the resource theory of noisy continuous variable quantum information protocols.
minor corrections in v2
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Cited by in corpus (13)
- An Invitation to Quantum Incompatibility
- Incompatibility breaking quantum channels
- Continuous variable steering and incompatibility via state-channel duality
- Compatibility of covariant quantum channels with emphasis on Weyl symmetry
- Measurement uncertainty relations for position and momentum: Relative entropy formulation
- Verification of Continuous-Variable Quantum Memories
- Geometry on the manifold of Gaussian quantum channels
- Einstein-Podolsky-Rosen uncertainty limits for bipartite multimode states
- Verification of joint measurability using phase-space quasiprobability distributions
- Quantum illumination with noisy probes: Conditional advantages of non-Gaussianity
- Quantum incompatibility from the viewpoint of entanglement theory
- Ancillary Gaussian modes activate the potential to witness non-Markovianity
- Optimal secure quantum teleportation of coherent states of light