Karol Życzkowski : Finite dimensional Hilbert space

Описание: Abstract: Among the set of all pure states living in a finite dimensional Hilbert space H_None distinguishes subsets of states satisfying some natural condition. One basis independent choice, consist in selecting the spin coherent states, corresponding to the SU(2) group, or generalized, SU(K) coherent states. Another often studied example is basis dependent, as states coherent with respect to a given basis are distinguished by the fact that the moduli of their off-diagonal elements (called 'coherences') are as large as possible. It is natural to define 'anti-coherent' states, which are maximally distant to the set of coherent states and to quantify the degree of coherence of a given state can by its distance to the set of anti-coherent states. For instance, the separable states of a system composed of two subsystems with N levels are coherent with respect to the composite group SU(N)×SU(N), while in this setup, the anti-coherent states are maximally entangled.

Recording during the thematic meeting : "Coherent States and their Applications: A Contemporary Panorama" the November 17, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France)

Filmmaker: Guillaume Hennenfent

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