The Hilbert Series of Measures of Entanglement for 4 Qubits

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The Hilbert Series of Measures of Entanglement for 4 Qubits

We determine the Hilbert series of measures of entanglement for 4 qubits. Various techniques of constructive invariant theory are applied to prove the formula.

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15 صفحه اول

Entanglement measures and the Hilbert-Schmidt distance

As classical information arises from probability correlation between two random variables, quantum information arises from entanglement [1, 2]. Motivated by the finding of an entangled state which does not violate Bell’s inequality, the problem of quantifying entanglement has received an increasing interest recently. Vedral et. al. [3] proposed three necessary conditions that any measure of ent...

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ژورنال

عنوان ژورنال: Acta Applicandae Mathematicae

سال: 2005

ISSN: 0167-8019,1572-9036

DOI: 10.1007/s10440-005-0471-3