Vacuum-Induced Quantum Gate

TL;DR

This paper shows how the quantum vacuum perceived by an accelerating observer can be used to implement a quantum gate, transforming vacuum-induced radiation into a resource for relativistic quantum information processing.

Contribution

It introduces a method to perform a quantum Z-gate using vacuum-induced two-photon emission from an accelerating detector, revealing a new way to harness relativistic effects for quantum computation.

Findings

Demonstrates vacuum can implement a quantum Z-gate via acceleration.

Derives exact analytical form of the entangled detector-field state.

Shows entanglement harvesting from the Minkowski vacuum.

Abstract

We demonstrate that the quantum vacuum, as perceived by a uniformly accelerating observer, can be harnessed to perform a quantum Z-gate. A two-level Unruh-DeWitt detector, prepared in a superposition of its ground and excited states, undergoes a second-order interaction with the vacuum, resulting in a two-photon emission. We derive the exact analytical form of the final entangled detector-field state and show that this emission is conditional on a phase flip of the detector's initial state-the defining feature of the gate's operation. This process harvests entanglement from the Minkowski vacuum, producing photon pairs entangled across causally disconnected Rindler wedges. This work reframes acceleration-induced radiation not as thermal noise but as a coherent computational resource, offering new pathways for relativistic quantum information.