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

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

2009-01-28

arxiv.org/abs/0901.4473v2

Eur. Phys. J. D 57, 265-269 (2010)

Physics

Quantum Physics

10 pages, 1 table, Accepted in European Physical Journal D

Scientific paper

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]($M(\rho)<1$)and teleportation fidelity [1,2,3,4] ($(F_{max}>{2/3})$) for this state. We also obtain a relationship between $N$ (number of qubits) and $p$ (the classical probability of random mixture) for each of these possibilities. Finally we present a detailed analysis of all these possibilities for $N=3,4,5$ qubit systems. We also report that for N=3 and $p\in(.75,1]$, this entangled state can be used as a teleportation channel without violating Bell's inequality.

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