Transitions in quantum networks

Abstract

We consider transitions in quantum networks analogous to those in the two-dimensional Ising model. We show that for a network of active components the transition is between the quantum and the classical behaviour of the network, and the critical amplification coincides with the fundamental quantum cloning limit.

Revised version: Eq.(7) of the previous version changed, references added; 4 pages, 1 figure

References in corpus (3)

• Measurement of conditional phase shifts for quantum logic
• Conditional Quantum Dynamics and Logic Gates
• Quantum mechanics of lattice gas automata. I. One particle plane waves and potentials

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• Observation of dressed states of distant atoms with delocalized photons in coupled-cavities quantum electrodynamics
• Cavity dark mode of distant coupled atom-cavity systems
• Explicit effective Hamiltonians for general linear quantum-optical networks
• Localization and diffusion in Ising-type quantum networks
• Detecting quantum steering in networks
• Surface Entanglement in Quantum Spin Networks
• Unraveling the physics of topological phases with random walks of light