Maximally multipartite entangled states
Paolo Facchi, Giuseppe Florio, Giorgio Parisi, Saverio Pascazio
TL;DR
This paper introduces maximally multipartite entangled states of n qubits, which maintain maximal bipartite entanglement across all bipartitions, generalizing bipartite entanglement concepts.
Contribution
It defines a new class of states with uniform maximal bipartite entanglement and explores their properties for small n through analytical and numerical methods.
Findings
Maximally multipartite entangled states have bipartite entanglement independent of bipartition.
Examples for small n are identified and analyzed.
These states solve a specific minimization problem.
Abstract
We introduce the notion of maximally multipartite entangled states of n qubits as a generalization of the bipartite case. These pure states have a bipartite entanglement that does not depend on the bipartition and is maximal for all possible bipartitions. They are solutions of a minimization problem. Examples for small n are investigated, both analytically and numerically.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum Mechanics and Applications