Fidelity threshold for long-range entanglement in quantum networks

Abstract

We present a strategy to generate long-range entanglement in noisy quantum networks. We consider a cubic lattice whose bonds are partially entangled mixed states of two qubits, and where quantum operations can be applied perfectly at the nodes. In contrast to protocols designed for one- or two-dimensional regular lattices, we find that entanglement can be created between arbitrarily distant qubits if the fidelity of the bonds is higher than a critical value, independent of the system size. Therefore, we show that a constant overhead of local resources, together with connections of finite fidelity, is sufficient to achieve long-distance quantum communication in noisy networks.

published version

References in corpus (6)

• The Quantum Internet
• Fault-tolerant quantum computation with high threshold in two dimensions
• Valence Bond Solids for Quantum Computation
• On the role of memory errors in quantum repeaters
• One-shot entanglement generation over long distances in noisy quantum networks
• Entanglement Percolation with Bipartite Mixed States

Cited by in corpus (23)

• Control Principles of Complex Networks
• From quantum fusiliers to high-performance networks
• Surface code quantum communication
• A magic state's fidelity can be superior to the operations that created it
• Distribution of entanglement in large-scale quantum networks
• Delocalized information in quantum networks
• Limited path entanglement percolation in quantum complex networks
• Growth of graph states in quantum networks
• Entanglement Percolation with Bipartite Mixed States
• Simple scheme for encoding and decoding a qubit in unknown state for various topological codes
• Thermodynamic formalism for dissipative quantum walks
• Communication via entangled coherent quantum network
• Long range failure-tolerant entanglement distribution
• Hybrid-system approach to fault-tolerant quantum communication
• Long-distance quantum communication over noisy networks without long-time quantum memory
• 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
• Percolation thresholds and connectivity in quantum networks
• Percolation of secret correlations in a network
• Directed percolation effects emerging from superadditivity of quantum networks
• Boosting end-to-end entanglement fidelity in quantum repeater networks via hybridized strategies
• Maximally entangled real states and SLOCC invariants: the 3-qutrit case