Advanced-Retarded Differential Equations in Quantum Photonic Systems

TL;DR

This paper introduces a novel approach to quantum photonic systems using advanced-retarded differential equations, enabling quantum feedback and feedforward without measurements, and demonstrating potential for integrated quantum control.

Contribution

It presents a new photonic circuit design governed by advanced-retarded differential equations for quantum feedback without intermediate measurements.

Findings

Enables quantum feedback and feedforward without measurements

Demonstrates delay effects in quantum and classical regimes

Proposes a route for integrated quantum control systems

Abstract

We propose the realization of photonic circuits whose dynamics is governed by advanced-retarded differential equations. Beyond their mathematical interest, these photonic configurations enable the implementation of quantum feedback and feedforward without requiring any intermediate measurement. We show how this protocol can be applied to implement interesting delay effects in the quantum regime, as well as in the classical limit. Our results elucidate the potential of the protocol as a promising route towards integrated quantum control systems on a chip.