论文标题
量子通道的随机性：催化和量子优势的通用性
Randomness for quantum channels:Genericity of catalysis and quantum advantage of uniformness
论文作者
论文摘要
随机性可以帮助一个人实现无法以确定性方式实现的量子图。最近，发现将随机性源视为量子系统可以将效率作为某些任务的催化剂增加一倍。在这项工作中，我们首先证明可以使用随机性来源实现的每个量子通道，而不会泄漏信息，必须是催化。为此，我们证明了一种新的无关定理，它概括了无隐藏定理，即无秘密定理，该定理说明无量子信息可以与其他系统共享为秘密而不会泄漏某些信息。其次，我们表明，当不允许额外的尺寸时，应在经典地使用非分类催化剂，这导致了这样一个事实，即催化过程的量子优势严格来自随机源的均匀性。最后，我们讨论了一种绕过先前结果的方法，该结果通过使用额外的工作空间而用非脱位催化剂均匀地实现量子优势。
Randomness can help one to implement quantum maps that cannot be realized in a deterministic fashion. Recently, it was discovered that explicitly treating a randomness source as a quantum system could double the efficiency as a catalyst for some tasks. In this work, we first show that every quantum channel that can be implemented with a randomness source without leaking information to it must be a catalysis. For that purpose, we prove a new no-go theorem that generalizes the no-hiding theorem, the no-secret theorem that states no quantum information can be shared with other system as a secret without leaking some information. Second, we show that non-degenerate catalysts should be used classically when no extra dimension is allowed, which leads to the fact that the quantum advantage of a catalytic process strictly comes from the uniformness of the randomness source. Finally, we discuss a method to circumvent the previous result that achieves quantum advantage with non-degenerate catalyst uniformized by employing extra work space.
