A large-N approximated field theory for multipartite entanglement

Abstract

We study the characterization of multipartite entanglement for the random states of an $n$-qbit system. Unable to solve the problem exactly we generalize it, changing complex numbers into real vectors with $N_c$ components (the original problem is recovered for $N_c=2$). Studying the leading diagrams in the large-$N_c$ approximation, we unearth the presence of a phase transition and, in an explicit example, show that the so-called entanglement frustration disappears in the large-$N_c$ limit.

12 pages, 15 figures

References in corpus (12)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• Maximally multipartite entangled states
• Multi-Qubit Systems: Highly Entangled States and Entanglement Distribution
• Genuinely multipartite entangled states and orthogonal arrays
• All Maximally Entangled Four Qubits States
• Strong monogamy conjecture for multiqubit entanglement: The four-qubit case
• Exploring pure quantum states with maximally mixed reductions
• Entanglement monotones and maximally entangled states in multipartite qubit systems
• Probability density function characterization of multipartite entanglement
• On maximal entanglement between two pairs in four-qubit pure states
• Some Entanglement Features of Highly Entangled Multiqubit States

Cited by in corpus (2)

• Entanglement and correlation functions of the quantum Motzkin spin-chain
• Feynman graphs and the large dimensional limit of multipartite entanglement