Construction of bilinear control Hamiltonians using the series product and quantum feedback

TL;DR

This paper presents a method to construct bilinear control Hamiltonians for quantum systems by using quantum feedback and the series product, enabling precise control based on arbitrary input signals.

Contribution

It introduces a novel feedback-based approach to engineer bilinear Hamiltonians in quantum systems through the series product framework.

Findings

Demonstrates construction of bilinear Hamiltonians with arbitrary input signals

Uses quantum feedback to cancel stochastic effects in system dynamics

Assumes zero time delay for connections and operations

Abstract

We show that it is possible to construct closed quantum systems governed by a bilinear Hamiltonian depending on an arbitrary input signal. This is achieved by coupling the system to a quantum input field and performing a feedback of the output field back into the system to cancel out the stochastic effects, with the signal being added to the field between these events and later subtracted. Here we assume the zero time delay limit between the various connections and operations.