Quantum simulation of Rindler transformations

TL;DR

This paper demonstrates how to implement Rindler transformations, which relate inertial and non-inertial frames, within an embedded quantum simulator by mapping the transformation to a quantum gate on an enlarged system.

Contribution

It introduces a method to realize non-inertial reference frame changes, specifically Rindler transformations, in quantum simulators through a novel mapping and quantum gate implementation.

Findings

Successfully maps Rindler transformations to quantum gates

Extends quantum simulation capabilities to non-inertial frames

Enhances versatility of embedded quantum simulators

Abstract

We show how to implement a Rindler transformation of coordinates with an embedded quantum simulator. A suitable mapping allows to realise the unphysical operation in the simulated dynamics by implementing a quantum gate on an enlarged quantum system. This enhances the versatility of embedded quantum simulators by extending the possible in-situ changes of reference frames to the non-inertial realm.