Hypothesis testing for a maximally entangled state

Yoshiyuki Tsuda, Keiji Matsumoto, Masahito Hayashi · arXiv (Cornell University) · 2005

It is important to assess the performance of devices which produce entangled quantum states. We consider a problem to optimize the assessment scheme under the framework of hypothesis testing, a classical problem in quantum information. The optimal testing schemes are derived under some kinds of locality conditions and invariance conditions. In this problem, there is a mathematical difficulties caused by the intractability of LOCC measurement. In order to avoid the difficulty, we consider additional conditions such as invariance associated with the entangled state. Moreover, the measurement is discretized for the sake of convenience in experimental realization. 1

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