Polynomial method to study the entanglement of pure N -qubit states

Polynomial method to study the entanglement of pure N -qubit states

We present a mapping which associates pure N-qubit states with a polynomial. The roots of the polynomial characterize the state completely. Using the properties of the polynomial we construct a way to determine the separability and the number of unentangled qubits of pure N-qubit states.

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Veröffentlicht in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2010-01, Vol.81 (1), Article 012326
Hauptverfasser: Mäkelä, H., Messina, A.
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
FUNCTIONS
INFORMATION
MECHANICS
POLYNOMIALS
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM MECHANICS
QUBITS
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Beschreibung
Zusammenfassung:We present a mapping which associates pure N-qubit states with a polynomial. The roots of the polynomial characterize the state completely. Using the properties of the polynomial we construct a way to determine the separability and the number of unentangled qubits of pure N-qubit states.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.81.012326