Enhancement of Entanglement Percolation in Quantum Networks via Lattice Transformations

Abstract

We study strategies for establishing long-distance entanglement in quantum networks. Specifically, we consider networks consisting of regular lattices of nodes, in which the nearest neighbors share a pure, but non-maximally entangled pair of qubits. We look for strategies that use local operations and classical communication. We compare the classical entanglement percolation protocol, in which every network connection is converted with a certain probability to a singlet, with protocols in which classical entanglement percolation is preceded by measurements designed to transform the lattice structure in a way that enhances entanglement percolation. We analyze five examples of such comparisons between protocols and point out certain rules and regularities in their performance as a function of degree of entanglement and choice of operations.

12 pages, 17 figures, revtex4. changes from v3: minor stylistic changes for journal reviewer, minor changes to figures for journal editor

References in corpus (5)

• Reversible state transfer between light and a single trapped atom
• Entanglement Percolation in Quantum Networks
• Outline of the SECOQC Quantum-Key-Distribution Network in Vienna
• Entanglement Distribution in Pure-State Quantum Networks
• On the role of memory errors in quantum repeaters

Cited by in corpus (18)

• Control Principles of Complex Networks
• Entanglement percolation in quantum complex networks
• Distribution of entanglement in large-scale quantum networks
• Robust quantum network architectures and topologies for entanglement distribution
• Multipartite entanglement percolation
• Limited path entanglement percolation in quantum complex networks
• Entanglement Percolation with Bipartite Mixed States
• Thermodynamic formalism for dissipative quantum walks
• Singlet Generation in Mixed State Quantum Networks
• Long Distance Entanglement Generation in 2D Networks
• Long-distance entanglement generation with scalable and robust two-dimensional quantum network
• How efficient is transport of quantum cargo through multiple highways?
• Percolation of secret correlations in a network
• Quantum entanglement percolation under a realistic restriction
• Directed percolation effects emerging from superadditivity of quantum networks
• Entanglement percolation in random quantum networks
• The role of local and global geometry in quantum entanglement percolation
• Exclusive quantum channels in quantum networks