论文标题
高维纠缠认证：$ 2D+1 $实验友好型测量的纠缠相对熵
High-dimensional entanglement certification: bounding relative entropy of entanglement in $2d+1$ experiment-friendly measurements
论文作者
论文摘要
纠缠 - 联合量子系统中各方之间的连贯相关性 - 在二维的两派对案例中可以很好地理解和量化。较高（> 2） - 维系统有望扩大各种量子信息应用的功能。尽管有这种系统的实用性，但量化高维纠缠的方法仍更加有限且在实验上具有挑战性。我们审查纠缠认证方法以及应用它们所需的大量（通常很困难）。我们提出了一种新颖的认证方法，其测量要求与子系统维度（用系统维度的平方根缩放）线性缩放，并且仅需要一个复杂的测量。认证方法对任何最大相关状态的纠缠相对熵进行了较低的限制，从而证明了系统的纠缠。在存在噪声的情况下，还显示了任何最大相关状态的下限 - 预期的实验情况。我们讨论所有必需测量的实验实现。
Entanglement -- the coherent correlations between parties in a joint quantum system -- is well-understood and quantifiable in the two-dimensional, two-party case. Higher (>2)-dimensional entangled systems hold promise in extending the capabilities of various quantum information applications. Despite the utility of such systems, methods for quantifying high-dimensional entanglement are more limited and experimentally challenging. We review entanglement certification approaches and the large number of -- often difficult -- measurements required to apply them. We present a novel certification method whose measurement requirements scale linearly with subsystem dimension (scaling with the square-root of the system dimension) and which requires only a single complex measurement. The certification method places a lower-bound on the relative entropy of entanglement of any maximally correlated state thereby certifying system entanglement. A lower bound is also shown for any maximally correlated state in the presence of noise -- the expected experimental case. We discuss experimental realization of all required measurements.
