Quantum controlled teleportation with OR-logic-gate-like controllers in noisy environment

Abstract

We evaluate a one-way, bidirectional, and cyclic quantum controlled teleportation with two controllers. We show that the controllers' agreement mimics the OR logic gate, i.e., the teleportation succeeds with only one of the controllers' cooperation, and it does not matter which one. This result is generalized to multi-ways quantum controlled teleportation with N controllers. The proposed protocols are evaluated by considering a noisy environment in the form of phase-damping noise and amplitude-damping noise and the dependence of fidelity only on the decoherence rate and the initial state’s amplitude parameter were established. It is interesting to note that for the phase-damping noise case, there are states with perfect fidelity (and the entropy equal to zero) even in a noisy environment. We discuss the novelty of the proposed protocols and highlight that they can be useful if the information to be teleported needs an OR-logic-gate-like controllers’ agreement combination, which cannot be done with other existing protocols.

Asymmetric bidirectional quantum controlled teleportation via a seven-qubit Werner-like mixed state

“…Lastly, in terms of channel preparation, we constructed the channel differently. A controller ability of the channel preparation in the common controlled protocols [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] is done by preparing a single qubit pure state and performing a combination of CNOT and Hadamard gates (sometimes with other additional gates). In our work, rather than preparing a pure state, we prepared a mixed state and perform CNOT gates (without any Hadamard gate, see section 2).…”

“…It was proposed by Sang et al [4] who used a seven-qubit entangled state as the quantum channel. Further studies on the protocol variation can be found in [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”