0000000000550160

AUTHOR

H. Mäkelä

showing 3 related works from this author

N-qubit states as points on the Bloch sphere

2009

We show how the Majorana representation can be used to express the pure states of an N-qubit system as points on the Bloch sphere. We compare this geometrical representation of N-qubit states with an alternative one, proposed recently by the present authors.

PhysicsQuantum PhysicsBloch sphereentanglement density matrixRepresentation (systemics)FOS: Physical sciencesQuantum PhysicsCondensed Matter PhysicsAtomic and Molecular Physics and OpticsTheoretical physicsMAJORANAComputer Science::Emerging TechnologiesQubitQuantum Physics (quant-ph)Mathematical Physics
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Polynomial method to study the entanglement of pure N-qubit states

2009

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.

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
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Parametrizations of density matrices

2011

This article gives a brief overview of some recent progress in the characterization and parametrization of density matrices of finite dimensional systems. We discuss in some detail the Bloch-vector and Jarlskog parametrizations and mention briefly the coset parametrization. As applications of the Bloch parametrization we discuss the trace invariants for the case of time dependent Hamiltonians and in some detail the dynamics of three-level systems. Furthermore, the Bloch vector of two-qubit systems as well as the use of the polarization operator basis is indicated. As the main application of the Jarlskog parametrization we construct density matrices for composite systems. In addition, some r…

Theoretical physicsQuantum PhysicsCosetFOS: Physical sciencesQuantum Physics (quant-ph)Atomic and Molecular Physics and Opticsdensity matrixMathematics
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