Study of Decoherence on the Teleportation Algorithm in a Chain of Three Nuclear Spins System

Abstract

<p align="justify"> <span style="font-family:Verdana;">We make a numerical study of decoherence on the teleportation algorithm implemented in a linear chain of three nuclear spins system. We study different types of environments, and we determine the associated decoherence time as a function of the dissipative parameter. We found that the dissipation parameter to get a well defined quantum gates (without significant decoherence) must be within the range o</span><span style="font-family:Verdana;">f </span><span style="font-family:Verdana;">γ</span><span style="font-family:Verdana;">≤</span><span style="font-family:Verdana;">4</span><span style="font-family:Verdana;">×</span><span><span style="font-family:Verdana;">10</span>^{<span style="font-family:Verdana;">-4</span>}</span><span style="font-family:Verdana;"> for not thermalized case, which was determined by using the purity parameter calculated at the end of the algorithm. For the thermalized case the decoherence is stablished for very small dissipation parameter, making almost not possible to implement this algorithm for not zero temperature.</span><span></span> </p

Emergence of stationary entanglement in a dissipative kicked linear chain of three qubits

“…Part of the purpose of this paper is to use these properties to qualify the thermodynamic behavior of the system when steady entanglement has emerged. In our setup of a three qubit linear chain, the emergence of entanglement could in principle be employed in the development of interesting quantum algorithms such as a teleportation algorithm, where a quantum register made of three qubits, and the preparation of entangled states among two qubits is needed [22].…”