Quantum correlated percolation

Bikas K. Chakrabarti, Kimmo K. Kaski, János Kertész

Anthony Leverrier, Raúl García−Patrón

In this work, we explore the analogy between entanglement and secret classical correlations in the context of large networks---more precisely, the question of percolation of secret correlations in a network. It is known that entanglement percolation in quantum networks can display a highly nontrivial behavior depending on the topology of the network and on the presence of entanglement between the nodes. Here we show that this behavior, thought to be of a genuine quantum nature, also occurs in a classical context.

K. C. Chang

Lorenzo Cirigliano, Valentina Brosco, Claudio Castellano +3 more

The distribution of entanglement between the nodes of a quantum network plays a fundamental role in quantum information applications. In this work, we investigate the dynamics of a network of qubits where each edge corresponds to an independent two-qubit interaction. By applying tools from percolation theory, we study how entanglement dynamically spreads across the network. We show that the interplay between unitary evolution and spatially correlated disorder leads to a non-standard percolation phenomenology, significantly richer than uniform bond percolation and featuring hysteresis. A two-colour correlated bond percolation model, whose phase diagram is determined via numerical simulations and a mean-field theory, fully elucidates the physics behind this phenomenon.

Konrad Kieling, Jens Eisert

Antonio Acín, J. I. Cirac, Maciej Lewenstein