Restriction-Based Certificate of Bipartite Schmidt Rank in Hypergraph States

arXiv:2602.21016 · quant-ph · Submitted 2026-02-24 · Read on arXiv

quant-ph

Submitted: 2026-02-24

Updated: 2026-02-24

Comments: 10 pages

Journal ref: Phys. Rev. A 114, 022410 (2026)

DOI: 10.1103/mkv9-kjw3

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

Terminology

• Core — 63× in this paper · explained in 2 episodes
• Hypergraph — 44× in this paper · explained in 2 episodes
• Entanglement — 37× in this paper · explained in 3 episodes
• Verification — 10× in this paper · explained in 2 episodes
• Adjacency Matrix — 2× in this paper · explained in 1 episode
• Feature Extraction — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes

Sources

• Entanglement in Graph States and its Applications
• Classical simulation versus universality in measurement based quantum computation
• Encoding Hypergraphs into Quantum States
• Quantum Hypergraph States
• Entanglement and nonclassical properties of hypergraph states
• Hierarchy of universal entanglement in 2D measurement-based quantum computation
• Changing the circuit-depth complexity of measurement-based quantum computation with hypergraph states
• Quantum computational universality of hypergraph states with Pauli-X and Z basis measurements
• Efficient Verification of Hypergraph States
• Local unitary symmetries of hypergraph states
• Graphical description of unitary transformations on hypergraph states
• Multipartite entanglement detection for hypergraph states
• Entanglement Purification of Hypergraph States
• Entanglement of random hypergraph states
• Quantum hypergraph states: a review
• Qudit hypergraph states and their properties
• Finite-Function-Encoding Quantum States
• A Boolean Functions Theoretic Approach to Quantum Hypergraph States and Entanglement
• Locally inequivalent four qubit hypergraph states
• Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2

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