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

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]($M(\rho )<1$)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.

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

References in corpus (2)

• Perfect Teleportation and Superdense Coding With W-States
• Quantum Cloning, Bell's Inequality and Teleportation

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