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Bosonic encoding is an approach for quantum information processing, promisinglower hardware overhead by encoding in the many levels of a harmonic oscillatormode. Scaling to multiple modes requires weak interaction for independentcontrol, yet strong interaction for fast control. Applying fast and efficientuniversal control on multiple modes remains an open problem. We show thatuniversal control of multiple modes can be obtained with displacements of thedifferent modes conditioned only on a single qubit ancilla. We develop theconditional not displacement control method which enables fast generation andcontrol of bosonic states in multi-mode systems weakly coupled to a singleancilla qubit. Our method is fast despite the weak ancilla coupling. The weakcoupling in turn allows for excellent separability and thus independentcontrol. We demonstrate our control on a superconducting transmon qubit weaklycoupled to a multi-mode superconducting cavity. We create both entangled andseparable cat-states in different modes of the multi-mode cavity, showingentangling operations while control of each mode is independent of the state ofthe other mode. We show that the operation time is not limited by the inverseof the coupling rate, which is the typical timescale, and we exceed it byalmost 2 orders of magnitude. Our scheme allows for fast and efficientmulti-mode bosonic encoding and measurement.

Conditional not displacement: fast multi-oscillator control with a single qubit