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Journal Article

Classifying, quantifying, and witnessing qudit-qumode hybrid entanglement


van Loock,  Peter
van Loock Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Kreis, K., & van Loock, P. (2012). Classifying, quantifying, and witnessing qudit-qumode hybrid entanglement. PHYSICAL REVIEW A, 85(3): 032307. doi:10.1103/PhysRevA.85.032307.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-68E3-5
Recently, several hybrid approaches to quantum information emerged which utilize both continuous-and discrete-variable methods and resources at the same time. In this work, we investigate the bipartite hybrid entanglement between a finite-dimensional, discrete-variable quantum system and an infinite-dimensional, continuous-variable quantum system. A classification scheme is presented leading to a distinction between pure hybrid entangled states, mixed hybrid entangled states (those effectively supported by an overall finite-dimensional Hilbert space), and so-called truly hybrid entangled states (those which cannot be described in an overall finite-dimensional Hilbert space). Examples for states of each regime are given and entanglement witnessing as well as quantification are discussed. In particular, using the channel map of a thermal photon noise channel, we find that true hybrid entanglement naturally occurs in physically important settings. Finally, extensions from bipartite to multipartite hybrid entanglement are considered.