Statistical mechanics of multipartite entanglement in hypergraph states

arXiv:2609.24508 · quant-ph · Submitted 2026-09-21 · Read on arXiv

quant-ph

Submitted: 2026-09-21

Updated: 2026-09-29

Comments: 14 pages, 6 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 90× in this paper · explained in 3 episodes
• Hypergraph — 64× in this paper · explained in 2 episodes
• Multipartite Entanglement — 41× in this paper · explained in 2 episodes
• Frustration — 11× in this paper · explained in 2 episodes
• Parallel Tempering — 8× in this paper
• Accuracy — 3× in this paper · explained in 1 episode
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Effective Hamiltonian — 2× in this paper · explained in 2 episodes
• Stabilizer States — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Hamming Distance — 1× in this paper · explained in 2 episodes
• Metastability — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Picturing Qubits in Phase Space
• Relative entropy in quantum information theory
• Local Hamiltonians for Maximally Multipartite Entangled States
• Multipartite maximally entangled states in symmetric scenarios
• The maximally entangled set of multipartite quantum states
• Stochastic Local Operations with Classical Communication of Absolutely Maximally Entangled States
• Multiparticle singlet states cannot be maximally entangled for the bipartitions
• Quantum Hypergraph States: A Review
• Multipartite entanglement of random states of qubits
• Simulated Tempering: A New Monte Carlo Scheme
• The Quantum Transition of the Two-Dimensional Ising Spin Glass: A Tale of Two Gaps

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