Multimode Qubit-Conditional Operations via Generalized Cross-Resonance
Abstract
We present a general framework for generating single- and multimode qubit-conditional operations by extending cross-resonant driving to a generalized multimode scheme. This includes single-mode conditional displacements and squeezing induced by one- and two-photon cross-resonant drives in the presence of one- and two-photon qubit-oscillator interactions, respectively. In the multimode setting, we derive multimode qubit-conditional joint displacement, beamsplitter and two-mode squeezing operations. This framework enables the realization of arbitrary multimode qubit-conditional operations, which are of great importance to bosonic quantum error correction, phase estimation and quantum simulations.
Keywords
Cite
@article{arxiv.2503.15941,
title = {Multimode Qubit-Conditional Operations via Generalized Cross-Resonance},
author = {Mohammad Ayyash},
journal= {arXiv preprint arXiv:2503.15941},
year = {2025}
}
Comments
Substantially simplified framework with explicit definition of interaction resonance frequency and added new references. 6 pages, no figures