Abstract
We analyze the entangling capabilities of unitary transformations U acting on a bipartite -dimensional quantum system. To this aim we introduce an entangling power measure given by the mean linear entropy produced acting with U on a given distribution of pure product states. This measure admits a natural interpretation in terms of quantum operations. For a uniform distribution explicit analytical results are obtained using group-theoretic arguments. The behavior of the features of as the subsystem dimensions and are varied is studied both analytically and numerically. The two-qubit case is argued to be peculiar.
- Received 8 May 2000
DOI:https://doi.org/10.1103/PhysRevA.62.030301
©2000 American Physical Society