A novel definition for data privacy in quantum computing based on quantum hypothesis testing is presented in this paper. The parameters in this privacy notion possess an operational interpretation based on the success/failure of an omnipotent adversary being able to distinguish the private categories to which the data belongs using arbitrary measurements on quantum states. Important properties of post processing and composition are then proved for the new notion of privacy. The relationship between privacy against hypothesis-testing adversaries, defined in this paper, and quantum differential privacy are then examined. It is shown that these definitions are intertwined in some parameter regimes. This enables us to provide an interpretation for the privacy budget in quantum differential privacy based on its relationship with privacy against hypothesis testing adversaries.

翻译：本文提出了一种基于量子假设检验的量子计算数据隐私新定义。该隐私概念中的参数具有操作性解释，基于全能攻击者能否通过任意量子态测量成功区分数据所属的私密类别。随后证明了该新隐私概念的重要后处理与组合性质。进一步研究了本文定义的抗假设检验攻击隐私与量子差分隐私之间的关系，结果表明在某些参数范围内这两种定义相互交织。这使我们能够基于其与抗假设检验攻击隐私的关系，为量子差分隐私中的隐私预算提供解释。