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arXiv · 2503.15941

Multimode Qubit-Conditional Operations via Generalized Cross-Resonance

Mohammad Ayyash
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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.

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Mohammad Ayyash. 2025-03-20. Multimode Qubit-Conditional Operations via Generalized Cross-Resonance. https://arxiv.org/abs/2503.15941

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