Efficient Error Corrected Quantum Teleportation

In near term quantum computers, each qubit will be a very valuable resource. We study different noise sources, such as dephasing, phase flips, and bit flips in the quantum teleportation algorithm. We provide a taxonomy of the effects of the different noise sources on each qubit individually and together. To simulate the noise, we use the Lindblad master equation to allow for continuous error sources. We test both discrete and continuous error correction. This knowledge is used to develop more efficient error correction for the quantum teleportation algorithm; rather than correct every error on every qubit, we use limited resources to only correct the worst errors on the most sensitive qubits.