Faces for two-qubit separable states and the convex hulls of trigonometric moment curves

• Autorzy: Kye S.-H.
• Języki publikacji: EN

Abstrakty

EN

We analyze the facial structures of the convex set consisting of all two-qubit separable states. One of the faces is a four-dimensional convex body generated by the trigonometric moment curve arising from polyhedral combinatorics. Another one is an eight-dimensional convex body, which is the convex hull of a homeomorphic image of the two-dimensional sphere. Extreme points consist of points on the surface, and any two of tchem determine an edge. We also reconstruct the trigonometric moment curve in any even-dimensional affine space using the qubit-qudit systems, and characterize the facial structures of the convex hull.

Słowa kluczowe

EN

separable state; entanglement; trigonometric moment curve; face; extreme point

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2013
• Tom: Vol. 33, Fasc. 2
• Strony: 385--400
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Kye S.-H.

• Department of Mathematics, and Institute of Mathematics, Seoul National University, Seoul 151-742, Korea

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).