Statistical mechanics of multipartite entanglement

Abstract

We characterize the multipartite entanglement of a system of n qubits in terms of the distribution function of the bipartite purity over all balanced bipartitions. We search for those (maximally multipartite entangled) states whose purity is minimum for all bipartitions and recast this optimization problem into a problem of statistical mechanics.

final version

References in corpus (11)

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Cited by in corpus (20)

• Random pure states: quantifying bipartite entanglement beyond the linear statistics
• Phase transitions and metastability in the distribution of the bipartite entanglement of a large quantum system
• Genuinely entangled subspace with all-encompassing distillable entanglement across every bipartition
• Random graph states, maximal flow and Fuss-Catalan distributions
• A Brief Overview of Bipartite and Multipartite Entanglement Measures
• Entanglement Typicality
• Multipartite Entanglement and Frustration
• Classical Statistical Mechanics Approach to Multipartite Entanglement
• Tripartite thermal correlations in an inhomogeneous spin-star system
• Genuine Tripartite Entanglement in a Spin-Star Network at Thermal Equilibrium
• A genuine maximally seven-qubit entangled state
• Bell's experiment with intra- and inter-pair entanglement: Single-particle mode entanglement as a case study
• Gaussian maximally multipartite entangled states
• Berry phase in superconducting charge qubits interacting with a cavity field
• State complexity and quantum computation
• Typical Entanglement
• A large-N approximated field theory for multipartite entanglement
• Entanglement frustration in multimode Gaussian states
• Feynman graphs and the large dimensional limit of multipartite entanglement
• Quantum Circuits for High-Dimensional Absolutely Maximally Entangled States