Abstract
We analyze the controlled teleportation protocol through three-qubit mixed states. In particular, we investigate the relation between the faithfulness of the controlled teleportation scheme and entanglement. While our knowledge concerning controlled teleportation and entanglement in pure states is well established, for mixed states it is considerably much harder task and very little has been done in this field. Here, we present counterintuitive results that provide a new light on controlled teleportation protocol. It is shown that even mixed biseparable states are useful for this protocol along with genuine entangled three-qubit states.
Highlights
Quantum entanglement is one of the striking features of quantum systems that makes them different from their classical counterparts[1,2]
Let us first consider a particular family of mixed states which have recently received a lot of attention, namely GHZ-symmetric states[35,36]
We have investigated the performance of the controlled quantum teleportation protocol via three-qubit mixed state channels
Summary
Quantum entanglement is one of the striking features of quantum systems that makes them different from their classical counterparts[1,2]. In a pure-state regime a direct relation between entanglement and the maximal fidelity of tripartite CQT is given by20 ≤ 2 what implies pro3tocol has been successfully investigated via several classes of partially tripartite entangled pure states[16,17,18], in particular the generalized GHZ states.
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