Steering criteria via covariance matrices of local observables in arbitrary-dimensional quantum systems
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2015 American Physical Society. We derive steerability criteria applicable for both finite- and infinite-dimensional quantum systems using covariance matrices of local observables. We show that these criteria are useful to detect a wide range of entangled states particularly in high-dimensional systems and that the steering criterion for general MN modes of continuous variables, known as Gaussian criterion but applicable also for non-Gaussian states, are obtained as a special case. Extending from the approach of entanglement detection via covariance matrices, our criteria are based on the local uncertainty principles incorporating the asymmetric nature of steering scenario. Specifically, we apply the formulation to the case of local orthogonal observables and obtain some useful criteria that can be readily computable, and testable in experiment, with no need for numerical optimization.
