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Chinese Physics B

Detection of the ideal resource for multiqubit teleportation

Ming‐Jing Zhao, Bin Chen, Shao-Ming Fei

Published Jun 25, 2015• 3 citations
Publisher

Abstract

We give a sufficient condition for detecting the entanglement resource for perfect multiqubit teleportation. The criterion involves only local measurements on some complementary observables and can be experimentally implemented. It is also a necessary condition for full separability of multiqubit states. Moreover, by proving the optimality of teleportation witnesses, we solve the open problem in Phys. Rev. A 86 , 032315 (2012).

DOI
10.1088/1674-1056/24/7/070302

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We give a sufficient condition for detecting the entanglement resource for perfect multiqubit teleportation. The criterion involves only local measurements on some complementary observables and can be experimentally implemented. It is also a necessary condition for full separability of multiqubit states. Moreover, by proving the optimality of teleportation witnesses, we solve the open problem in Phys. Rev. A 86 , 032315 (2012).
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Recently, Paolo Facchi et al. [Phys. Rev. A. 77, 060304 (R) (2008)] introduced the notion of maximally multipartite entangled states of n qubits. Here, we give a criterion for faithful controlled teleportation of an arbitrary two-qubit state via a five-qubit entangled state and obtain the general relation between the genuine five-qubit entangled state and controlled teleportation. This criterion can be extended to teleportation of an arbitrary N-qubit state using 2N+1-qubit entangled state. Furthermore, we study the optimal match of measuring basis and quantum channel.