# The emergence of typical entanglement in two-party random processes

@article{Dahlsten2007TheEO, title={The emergence of typical entanglement in two-party random processes}, author={Oscar C. O. Dahlsten and R. Oliveira and Martin Bodo Plenio}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2007}, volume={40}, pages={8081 - 8108} }

We investigate the entanglement within a system undergoing a random, local process. We find that there is initially a phase of very fast generation and spread of entanglement. At the end of this phase the entanglement is typically maximal. In Oliveira et al (2007 Phys. Rev. Lett. 98 130502) we proved that the maximal entanglement is reached to a fixed arbitrary accuracy within O(N3) steps, where N is the total number of qubits. Here we provide a detailed and more pedagogical proof. We…

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