Quantum Teleportation in a Relativistic System
Shih-Yuin Lin1*
1Department of Physics, National Changhua University of Education, Changhua, Taiwan
* presenting author:Shih-Yuin Lin, email:sylin@cc.ncue.edu.tw
It is commonly believed that the fidelity of quantum teleportation using localized quantum objects with one party or both accelerated in vacuum would be degraded due to the heat up by the Unruh effect. We point out that the Unruh effect is not the whole story in accounting for all the relativistic effects in quantum teleportation. First, there could be degradation of fidelity by a common field environment even when both quantum objects are in inertial motion. Second, relativistic effects entering the description of the dynamics such as frame dependence, time dilation, and Doppler shift, already existent in inertial motion, can compete with or even overwhelm the effect due to uniform acceleration in a quantum field. We show that larger acceleration of an object would not necessarily lead to a faster degradation of fidelity. We find the quantum entanglement evaluated around the light cone, rather than the conventional ones evaluated on the Minkowski time slices, is the necessary condition for the averaged fidelity of quantum teleportation beating the classical one.

Keywords: relativistic quantum information, open quantum system, quantum field theory in curved space