论文标题
熵非上下文不平等的一夫一妻制及其实现
Monogamy relations of entropic non-contextual inequalities and their experimental realization
论文作者
论文摘要
我们基于图理论方法开发了一个理论框架，以分析熵非上下文性（ENC）不等式的一夫一妻关系。尽管ENC不平等在量子信息理论中很重要，并且对其一夫一妻制的理论和实验证明仍然难以捉摸。我们为ENC不平等提供了一夫一妻制的关系，并为一般方案提供了相同的条件。我们表明，在三方场景上作用的两个熵版本的不平等现象表现出一夫一妻制的关系，为此我们提供了理论上的证明以及对NMR量子信息处理器的实验验证。我们评估熵的实验技术旨在仅通过测量观察值的期望值来获取有关熵的信息。
We develop a theoretical framework based on a graph theoretic approach to analyze monogamous relationships of entropic non-contextuality (ENC) inequalities. While ENC inequalities are important in quantum information theory and are well studied, theoretical as well as experimental demonstration of their monogamous nature is still elusive. We provide conditions for ENC inequalities to exhibit a monogamous relationship and derive the same for general scenarios. We show that two entropic versions of the Bell-CHSH inequality acting on a tripartite scenario exhibit a monogamous relationship, for which we provide a theoretical proof as well as an experimental validation on an NMR quantum information processor. Our experimental technique to evaluate entropies has been designed to obtain information about entropies via measurement of only the expectation values of observables.
