Quantum Router with Network Coding

Abstract

Many protocols of quantum information processing, like quantum key distribution or measurement-based quantum computation, "consume" entangled quantum states during their execution. When participants are located at distant sites, these resource states need to be distributed. Due to transmission losses quantum repeater become necessary for large distances (e.g. $\gtrsim$ 300 km). Here we generalize the concept of the graph state repeater to $D$-dimensional graph states and to repeaters that can perform basic measurement-based quantum computations, which we call quantum routers. This processing of data at intermediate network nodes is called quantum network coding. We describe how a scheme to distribute general two-colorable graph states via quantum routers with network coding can be constructed from classical linear network codes. The robustness of the distribution of graph states against outages of network nodes is analysed by establishing a link to stabilizer error correction codes. Furthermore we show, that for any stabilizer error correction code there exists a corresponding quantum network code with similar error correcting capabilities.

13 pages, 12 figures

References in corpus (7)

• The Quantum Internet
• Multi-party entanglement in graph states
• Experimental demonstration of a BDCZ quantum repeater node
• A photon-photon quantum gate based on a single atom in an optical resonator
• Quantum Error Correction
• Quantum secret sharing with qudit graph states
• Prior entanglement between senders enables perfect quantum network coding with modification

Cited by in corpus (24)

• Advances in Quantum Cryptography
• Quantum Conference Key Agreement: A Review
• Modular architectures for quantum networks
• Quantum network routing and local complementation
• Experimental quantum conference key agreement
• Robust quantum network architectures and topologies for entanglement distribution
• Tools for quantum network design
• Designing Quantum Router in IBM Quantum Computer
• Experimental Quantum Network Coding
• Fundamental limitation on quantum broadcast networks
• Delocalized information in quantum networks
• Analysis of Measurement-based Quantum Network Coding over Repeater Networks under Noisy Conditions
• Optimized Quantum Networks
• Linear programs for entanglement and key distribution in the quantum internet
• Influence of noise in entanglement-based quantum networks
• Entropy bounds for multiparty device-independent cryptography
• Propagation of generalized Pauli errors in qudit Clifford circuits
• Asymmetric quantum multicast network coding: asymmetric optimal cloning over quantum networks
• Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters
• Space-time Peer-to-Peer Distribution of Multi-party Entanglement for Any Quantum Network
• Structure of multipartite entanglement in random cluster-like photonic systems
• Sharing classical secrets with continuous-variable entanglement: Composable security and network coding advantage
• Spanning-tree-packing protocol for conference key propagation in quantum networks
• Multicast quantum network coding as optimal symmetric universal cloning over a quantum network