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arXiv · 1710.02267

How entangled can a multi-party system possibly be?

Liqun Qi·Guofeng Zhang·Guyan Ni
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Abstract

The geometric measure of entanglement of a pure quantum state is defined to be its distance to the space of product (seperable) states. Given an $n$-partite system composed of subsystems of dimensions $d_1,\ldots, d_n$, an upper bound for maximally allowable entanglement is derived in terms of geometric measure of entanglement. This upper bound is characterized exclusively by the dimensions $d_1,\ldots, d_n$ of composite subsystems. Numerous examples demonstrate that the upper bound appears to be reasonably tight.

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Liqun Qi, Guofeng Zhang, Guyan Ni. 2017-10-06. How entangled can a multi-party system possibly be?. https://doi.org/10.1016/j.physleta.2018.04.007

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