One of the biggest problems in the theory of quantum information is thequantification of amount of entanglement in an arbitrary multipartite mixedstate. Different axiomatic and operational measures were proposed so far. Inthis work we will establish a connection between geometric measure ofentanglement proposed in [Phys. Rev. A 68, 042307 (2003)] and measures based onfidelity. One result will be, that geometric and revised geometric measure ofentanglement proposed in [J. Phys. A: Math. Theor. 40, 3507 (2007)] are equal.Further a useful expression for fidelity is derived.
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机译：量子信息理论中最大的问题之一是对任意多部分混合态中纠缠量的量化。迄今为止，已提出了不同的公理措施和操作措施。在这项工作中，我们将建立[物理]中提出的纠缠的几何度量之间的联系。 Rev. A 68，042307（2003）]和基于保真度的度量。一个结果将是在[J.物理答：数学。理论。 40，3507（2007）]相等。进一步推导了保真度的有用表达。
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