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RESEARCH PRODUCT

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

H. MäkeläAntonino Messina

subject

Discrete mathematicsPhysicsPolynomialQuantum PhysicsQuantum t-designSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciCluster stateFOS: Physical sciencesQuantum entanglementQuantum PhysicsPolinomiMeccanica quantisticaAtomic and Molecular Physics and OpticsSettore FIS/03 - Fisica Della MateriaEntanglementSeparable stateComputer Science::Emerging TechnologiesQubitQuantum mechanicsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONW stateHardware_ARITHMETICANDLOGICSTRUCTURESQuantum Physics (quant-ph)Quantum teleportation

description

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.

yearjournalcountryeditionlanguage
2009-08-12
10.1103/physreva.81.012326http://arxiv.org/abs/0908.1727