Local cloning of genuinely entangled states of three qubits

Sujit K. Choudhary, Guruprasad Kar, Samir Kunkri, Ramij Rahaman, and Anirban Roy

Phys. Rev. A 76, 062312 – Published 19 December 2007

Abstract

We discuss the (im)possibility of the exact cloning of orthogonal but genuinely entangled three qubit states aided with entangled ancilla under local operation and classical communication. Whereas any two orthogonal Greenberger-Horne-Zeilinger (GHZ) states taken from the canonical GHZ basis can be cloned with the help of a known GHZ state, surprisingly we find that no two $W$ states can be cloned by using any known three qubit (possibly entangled) state as a blank copy.

Received 20 July 2007

DOI:https://doi.org/10.1103/PhysRevA.76.062312

Authors & Affiliations

Sujit K. Choudhary^1,*, Guruprasad Kar^1,†, Samir Kunkri^2,‡, Ramij Rahaman^1,§, and Anirban Roy^1,∥

¹Physics and Applied Mathematics Unit, Indian statistical Institute, 203, B. T. Road, Kolkata 700 108, India
²Mahadevananda Mahavidyalaya, Monirampore, Barrackpore, North 24 Parganas, 700120

^*sujiṯr@isical.ac.in
^†gkar@isical.ac.in
^‡skunkri̱r@isical.ac.in
^§ramij̱r@isical.ac.in
^∥anirb@qis.ucalgary.ca

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Vol. 76, Iss. 6 — December 2007

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