Quantum accelerators: a new trajectory of quantum computers

Joanna Wiśniewska, Marek Sawerwain

Mario Coccia, Saeed Roshani

I-Chin Wang

We investigate the interaction between a moving detector and a quantum field, especially about how the trajectory of the detector would affect the vacuum fluctuations when the detector moves in a quantum field (the Unruh effect). We focus on two moving detectors system for future application in quantum teleportation. We find that the trajectory of a uniformly accelerated detector in Rindler space cannot be extended to a trajectory in which a detector moves at constant velocity. Based on our previous work, we redo the calculations and find that a term is missing from past calculations, and we also find that there are some restrictions on the values for the parameters in the solutions. In addition, without inclusion of the missing term, the variance from the quantum field for the inertial detector will be zero and is unlikely in such a system. When all these points are combined, there is a difference in the two-point correlation function between the inertial detector and the accelerated detector in the early-time region. The influence of proper acceleration can be seen in the two-point correlation functions. This might play a role in the quantum teleportation process and be worth studying thoroughly.

Eugene Simon Polzik, Klemens Hammerer

Common knowledge suggests that trajectories of particles in quantum mechanics always have quantum uncertainties. These quantum uncertainties set by the Heisenberg uncertainty principle limit precision of measurements of fields and forces, and ultimately give rise to the standard quantum limit in metrology. With the rapid developments of sensitivity of measurements these limits have been approached in various types of measurements including measurements of fields and acceleration. Here it is shown that a quantum trajectory of one system measured relatively to another “reference system” with an effective negative mass can be quantum uncertainty–free. The method crucially relies on the generation of an Einstein‐Podolsky‐Rosen entangled state of two objects, one of which has an effective negative mass. Such state has been created experimentally and thus, from a practical perspective, these ideas open the way towards force and acceleration measurements at new levels of sensitivity far below the standard quantum limit.

Anders Søndberg Sørensen