Controlled Quantum Teleportation in Asymmetric Noisy Ambience

Ideal Controlled quantum teleportation, discovered theoretically by Karlsson and Bourennane, is a weird paradigm of nonlocal transplantation of probability-amplitudes of an arbitrary unknown generic information-qubit possessed by a sender (Alice) on a qubit preserved by a distantly located receiver (Bob) under control or cooperation by a third party (Charlie) via maximally entangled Greenberger-Horne-Zeilinger (GHZ) state employed as the quantum channel with local operation and classical communication. The GHZ state is a fragile quantum resource and extremely sensitive to inevitable noisy environment causing decoherence. It fuels, therefore, an imperatively pressing demand to strategize a scheme for noise-resistant control quantum teleportation. We revisit the ideal control quantum teleportation but with a noisy Greenberger-Horne-Zeilinger State in which each intertwining qubit suffers with differing noises and inequivalent levels, namely, bit-flip, amplitude-flip and phase-flip, i.e., asymmetric noise ambience. The controlling power, introduced by Li and Ghose, is invoked to assess the performance of the afore-described noisy strategy. It is seen that differing levels of noises breaks the classical bound of controlling power and, thereby, demonstrating the loosening authority of controller. Our findings suggest that to which extent of asymmetric noise ambience noisy control quantum teleportation is noise-tolerant.