Purity distribution for bipartite random pure states

Purity distribution for bipartite random pure states

Random pure states: Quantifying bipartite entanglement beyond the linear statistics.

We analyze the properties of entangled random pure states of a quantum system partitioned into two smaller subsystems of dimensions N and M. Framing the problem in terms of random matrices with a fixed-trace constraint, we establish, for arbitrary N≤M, a general relation between the n-point densities and the cross moments of the eigenvalues of the reduced density matrix, i.e., the so-called Sch...

Measuring the entanglement of bipartite pure states

The problem of the experimental determination of the amount of entanglement of a bipartite pure state is addressed. We show that measuring a single observable does not suffice to determine the entanglement of a given unknown pure state of two particles. Possible minimal local measuring strategies are discussed and a comparison is made on the basis of their best achievable precision. PACS-number...

Entanglement splitting of pure bipartite quantum states

where % i is a density matrix for the nth subsystem, and the positive weights pi obey ∑ i pi = 1. Otherwise the system is called entangled – a property that exists only for quantum states. Several features of entanglement have been studied so far, e.g. how to concentrate entanglement of several pairs into more entangled fewer pairs (distillation or purification [1,2]) or how to transfer entangl...

General entanglement-assisted transformation for bipartite pure quantum states

Wei Song, Yan Huang, Nai-Le Liu, and Zeng-Bing Chen 3 Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China Department of Computer Science and Technology, University of Science and Technology of China, Hefei, Anhui 230026, China Physikalisches Institut, Universität Heidelberg, Phi...