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Quantum Foundations

Teleportation via a mixture of a two qubit subsystem of a N-qubit W and GHZ state

arXiv

Authors: Indranil Chakrabarty

Year

2009

Paper ID

9129

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

In this work we study a state which is a random mixture of a two qubit subsystem of a N-qubit W state and GHZ state. We analyze several possibilities like separability criterion (Peres-Horodecki criterion [14,15]), non violation of Bell's inequality [6](M(ρ)<1)and teleportation fidelity [1,2,3,4] $(F_max>{2/3}) for this state. We also obtain a relationship betweenN(number of qubits) andp(the classical probability of random mixture) for each of these possibilities. Finally we present a detailed analysis of all these possibilities forN=3,4,5qubit systems. We also report that for N=3 andp\in(.75,1]$, this entangled state can be used as a teleportation channel without violating Bell's inequality.

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In this work we study a state which is a random mixture of a two qubit subsystem of a N-qubit W state and GHZ state.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0901.4473 [2] arXiv https://arxiv.org/abs/0901.4473 [3] Publisher https://arxiv.org/abs/0901.4473

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