Delocalized information in quantum networks

Abstract

We consider entanglement-based quantum networks where information is stored in a delocalized way within regions or the whole network. This offers a natural protection against failure of network nodes, loss and decoherence, and has built-in security features. Quantum information is transmitted within the network by performing local measurements on individual nodes only. Information can be localized within regions or at a specific node by collaborative actions using only entanglement within a region, or sometimes even without entanglement. We discuss several examples based on error correction stabilizer codes, Dicke states and correlation space encodings. We show how to design fully functional networks using encoded states or correlation space resources.

18 pages, 18 figures

References in corpus (13)

• The Quantum Internet
• Quantum cryptography: Public key distribution and coin tossing
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Novel schemes for measurement-based quantum computation
• Measurement-based quantum computation beyond the one-way model
• Experimental demonstration of graph-state quantum secret sharing
• Stable macroscopic quantum superpositions
• A necessary and sufficient condition to play games in quantum mechanical settings
• Quantum computation in correlation space and extremal entanglement
• One-shot entanglement generation over long distances in noisy quantum networks
• Growth of graph states in quantum networks
• Nonlocality of $W$ and Dicke states subject to losses

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