Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States
نویسندگان
چکیده
Kippenhahn's Theorem asserts that the numerical range of a matrix is convex hull certain algebraic curve. Here, we show joint finitely many Hermitian matrices similarly semi-algebraic set. We discuss an analogous statement regarding dual cone to hyperbolicity and prove class bases these cones closed under linear operations. The result offers new geometric method analyze quantum states.
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Algebra and Geometry
سال: 2021
ISSN: ['2470-6566']
DOI: https://doi.org/10.1137/19m1286578