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Abstract: We review the generation of random pure states using a protocol of repeatedtwo qubit gates. We study the dependence of the convergence to states with Haarmultipartite entanglement distribution. We investigate the optimal generationof such states in terms of the physical real time needed to apply theprotocol, instead of the gate complexity point of view used in other works.This physical time can be obtained, for a given Hamiltonian, within thetheoretical framework offered by the quantum brachistochrone formalism. Usingan anisotropic Heisenberg Hamiltonian as an example, we find that differentoptimal quantum gates arise according to the optimality point of view used ineach case. We also study how the convergence to random entangled states dependson different entanglement measures.



Author: A. Borras, A. Majtey, M. Casas

Source: https://arxiv.org/







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