Entanglement Percolation in Quantum Networks
arXiv:quant-ph/0612167 · doi:10.1038/nphys549
Abstract
Quantum networks are composed of nodes which can send and receive quantum states by exchanging photons. Their goal is to facilitate quantum communication between any nodes, something which can be used to send secret messages in a secure way, and to communicate more efficiently than in classical networks. These goals can be achieved, for instance, via teleportation. Here we show that the design of efficient quantum communication protocols in quantum networks involves intriguing quantum phenomena, depending both on the way the nodes are displayed, and the entanglement between them. These phenomena can be employed to design protocols which overcome the exponential decrease of signals with the number of nodes. We relate the problem of establishing maximally entangled states between nodes to classical percolation in statistical mechanics, and demonstrate that quantum phase transitions can be used to optimize the operation of quantum networks.
Accepted for publication in Nature Physics. This is the original submitted version
References in corpus (5)
Cited by in corpus (157)
- The Quantum Internet
- Cavity-based quantum networks with single atoms and optical photons
- An Elementary Quantum Network of Single Atoms in Optical Cavities
- Control Principles of Complex Networks
- Towards real-world quantum networks: a review
- Multi-partite entanglement speeds up quantum key distribution in networks
- Spectral entropies as information-theoretic tools for complex network comparison
- Information-Theoretic Implications of Quantum Causal Structures
- Entanglement of spin waves among four quantum memories
- Any Quantum Network is Structurally Controllable by a Single Driving Signal
- A quantum network stack and protocols for reliable entanglement-based networks
- Polynomial Bell inequalities
- Quantum complex networks
- Prior entanglement between senders enables perfect quantum network coding with modification
- Complex Networks from Classical to Quantum
- Power law violation of the area law in quantum spin chains
- Google in a Quantum Network
- Quantum Navigation and Ranking in Complex Networks
- A Quantum Network Node with Crossed Optical Fibre Cavities
- Quantum network routing and local complementation
- Entanglement Distribution in Pure-State Quantum Networks
- Limitations of quantum computing with Gaussian cluster states
- Quantum Google in a Complex Network
- Computationally Efficient Nonlinear Bell Inequalities for General Quantum Networks
- Quantum Experiments and Graphs: Multiparty States as coherent superpositions of Perfect Matchings
- Entanglement percolation in quantum complex networks
- Distributing Graph States Over Arbitrary Quantum Networks
- Enhancing the W State Quantum Network Fusion Process with A Single Fredkin Gate
- Fusing multiple W states simultaneously with a Fredkin gate
- Distribution of entanglement in large-scale quantum networks
- Robust quantum network architectures and topologies for entanglement distribution
- Experimental non-locality in a quantum network
- Quantum Fisher Information of W States in Decoherence Channels
- Optimal quantum networks and one-shot entropies
- Quantum Transport Enhancement by Time-Reversal Symmetry Breaking
- Reconfigurable optical implementation of quantum complex networks
- Quantum entanglement in the triangle network
- Entanglement generation in a quantum network at distance-independent rate
- Nonmaximally entangled states can be better for multiple linear optical teleportation
- Bell-type Inequalities for Arbitrary Non-Cyclic Networks
- Large-scale quantum networks based on graphs
- Fully-connected network of superconducting qubits in a cavity
- Probing quantum correlations in many-body systems: a review of scalable methods
- Experimental Quantum Network Coding
- Phase transition of computational power in the resource states for one-way quantum computation
- Complex Quantum Networks: a Topical Review
- Multipartite entanglement percolation
- Quantum Correlations in Connected Multipartite Bell Experiments
- Concurrence Percolation in Quantum Networks
- Multi-User Entanglement Distribution in Quantum Networks Using Multipath Routing
- Increasing singlet fraction with entanglement swapping
- Quantum internet using code division multiple access
- One-shot entanglement generation over long distances in noisy quantum networks
- Limited path entanglement percolation in quantum complex networks
- Quantum simulators based on the global collective light-matter interaction
- Fidelity threshold for long-range entanglement in quantum networks
- Growth of graph states in quantum networks
- Persistency of entanglement and nonlocality in multipartite quantum systems
- Entanglement Percolation with Bipartite Mixed States
- Enhancement of Entanglement Percolation in Quantum Networks via Lattice Transformations
- Quantum communication capacity transition of complex quantum networks
- Asynchronous Entanglement Routing for the Quantum Internet
- Relations between entanglement and purity in non-Markovian dynamics
- Entanglement in highly symmetric multipartite quantum states
- Long-distance quantum communication over noisy networks without long-time quantum memory
- Entanglement formation in continuous-variable random quantum networks
- Quantum Communication using Code Division Multiple Access Network
- Bond Order via Light-Induced Synthetic Many-body Interactions of Ultracold Atoms in Optical Lattices
- Performance metrics for the continuous distribution of entanglement in multi-user quantum networks
- Teleportation-Induced Correlated Quantum Channels
- Singlet Generation in Mixed State Quantum Networks
- Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
- Information sharing in Quantum Complex Networks
- Scalable characterization of localizable entanglement in noisy topological quantum codes
- Progress towards a unified approach to entanglement distribution
- Deterministic Entanglement Distribution on Series-Parallel Quantum Networks
- Estimating localizable entanglement from witnesses
- Protection of quantum information and optimal singlet conversion through higher dimensional quantum systems and environment monitoring
- Unveiling the Importance of Nonshortest Paths in Quantum Networks
- Hierarchical certification of nonclassical network correlations
- Complex quantum network models from spin clusters
- An introduction to one-way quantum computing in distributed architectures
- Multiparty quantum protocols for assisted entanglement distillation
- Optimal ancilla-free phase-covariant telecloning of qudits via nonmaximally entangled states
- Unitary Entanglement Construction in Hierarchical Networks
- Area law for random graph states
- On the Bipartite Entanglement Capacity of Quantum Networks
- Continuous variables graph states shaped as complex networks: optimization and manipulation
- Entanglement distribution over quantum code-division-multiple-access networks
- High-Purity Entanglement of Hot Propagating Modes Using Nonreciprocity
- Spreading Nonlocality in Quantum Network
- Interacting quantum walk on a graph
- Exploring the "Middle Earth" of Network Spectra via a Gaussian Matrix Function
- Quantum Entanglement Percolation
- Emergent entanglement structures and self-similarity in quantum spin chains
- Circulating Genuine Multiparty Entanglement in Quantum Network
- Asymmetric quantum multicast network coding: asymmetric optimal cloning over quantum networks
- Overcoming the fundamental limit of quantum transduction via intraband entanglement
- Optimal quantum key distribution networks: capacitance versus security
- Long Distance Entanglement Generation in 2D Networks
- Long-distance entanglement generation with scalable and robust two-dimensional quantum network
- Resource engines
- Efficient percolation simulations for lossy photonic fusion networks
- Measurement-induced entanglement and complexity in random constant-depth 2D quantum circuits
- Classical simulability of constant-depth linear-optical circuits with noise
- Percolation thresholds and connectivity in quantum networks
- How efficient is transport of quantum cargo through multiple highways?
- Percolation in quantum computation and communication
- Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
- Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
- Recurrence network analysis in a model tripartite quantum system
- Repeater-Based Quantum Communication Protocol: Maximizing Teleportation Fidelity with Minimal Entanglement
- Gossip Algorithms in Quantum Networks
- Preparing matrix product states via fusion: constraints and extensions
- Response of quantum spin networks to attacks
- Fidelity-Aware Multipath Routing for Multipartite State Distribution in Quantum Networks
- Localizing genuine multiparty entanglement in noisy stabilizer states
- An Ideal Channel of Long Distance Entanglement in Spin Systems
- Detecting genuine multipartite entanglement using moments of positive maps
- Percolation of secret correlations in a network
- Transformations in quantum networks via local operations assisted by finitely many rounds of classical communication
- Non-Markovianity over ensemble averages in quantum complex networks
- Simple proof of confidentiality for private quantum channels in noisy environments
- Co-evolution of networks and quantum dynamics: a generalization of preferential attachment
- Percolation Transition Control in Quantum Networks
- Quantum entanglement percolation under a realistic restriction
- Quantum simulations of complex systems
- Directed percolation effects emerging from superadditivity of quantum networks
- General Concurrence Percolation on Quantum Networks
- Network mechanism for generating genuinely correlative Gaussian states
- Structure of multipartite entanglement in random cluster-like photonic systems
- Effective one-dimension reduction of multi-compartment complex systems dynamics
- Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
- Recovery of resources through sequential noisy measurements
- Entanglement percolation in random quantum networks
- Manipulation of tripartite-to-bipartite entanglement localization under quantum noises and its application to entanglement distribution
- Decoherence of a quantum memory coupled to a collective spin bath
- Dominant couplings in qubit networks with controlled interactions
- Renormalization and small-world model of fractal quantum repeater networks
- Exclusive quantum channels in quantum networks
- Spin polarized induction of quantum correlations-entanglement using a 2 MeV proton beam channeling
- The role of local and global geometry in quantum entanglement percolation
- Generation of topologically useful entangled states
- Reaching Agreement in Quantum Hybrid Networks
- Quantum Clique Gossiping
- Routing entanglement through quantum networks
- Exploring Bell nonlocality of quantum networks with stabilizing and logical operators
- Universality in random quantum networks
- Noncooperative Quantum Networks
- Entanglement concentration via measurement:- role of imaginarity
- Routing Entanglement in Complex Quantum Networks Using GHZ States
- Universal scaling hypothesis of quantum spatial search in complex networks
- Features of preparable entangled states in Gaussian quantum networks
- Entanglement distribution in quantum networks via swapping of partially entangled pure states
- Loss-robust crossband entanglement generation beyond the direct-transduction limit
- Hierarchies among genuine multipartite entangling capabilities of quantum gates
- Quantum Google Algorithm: Construction and Application to Complex Networks