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This research proposes four novel applications of spin-dependent generalized squeezing within hybrid spin-oscillator quantum processors, advancing the control of discrete and continuous-variable information processing. By leveraging geometric phases induced by nonlinear interactions with oscillator Fock states, the study establishes a foundation for high-fidelity quantum computation and sensing protocols in this specific hardware architecture.
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Applications of Spin-Dependent Generalized Squeezing in Hybrid Spin-Oscillator Quantum Processors

arXiv2 min read

arXiv:2608.04197v1 Announce Type: new Abstract: Generalized squeezing interactions are foundational to quantum optics, and have recently come under experimental control in hybrid spin-oscillator quantum processors [O. B\u{a}z\u{a}van, et al., Nat. Phys. 22, 757 (2026); S. Saner, et al., Phys. Rev. X 16, 021049 (2026)]. These interactions open the door for new applications in the processing of discrete- and continuous-variable quantum information, four of which we propose and investigate in this work: geometric phase gates mediated by spin-dependent generalized squeezing acting on two spins and a common oscillator; genuine N-body spin interactions mediated by individually addressed spin-dependent generalized squeezing; oscillator thermometry via spin readout; and the preparation of high-fidelity quantum states of the oscillator via spin-dependent generalized squeezing and mid-circuit measurement. A unifying feature of these applications is the geometric phase induced by generalized squeezing interactions, which is nonlinear in the Fock occupation of the oscillator and the interaction order of the generalized squeezing. This work provides a foundation for fast, high-fidelity discrete- and continuous-variable quantum computation and sensing in the hybrid spin-oscillator platform via generalized squeezing.

Abstract:Generalized squeezing interactions are foundational to quantum optics, and have recently come under experimental control in hybrid spin-oscillator quantum processors [O. Băzăvan, et al., Nat. Phys. 22, 757 (2026); S. Saner, et al., Phys. Rev. X 16, 021049 (2026)]. These interactions open the door for new applications in the processing of discrete- and continuous-variable quantum information, four of which we propose and investigate in this work: geometric phase gates mediated by spin-dependent generalized squeezing acting on two spins and a common oscillator; genuine N-body spin interactions mediated by individually addressed spin-dependent generalized squeezing; oscillator thermometry via spin readout; and the preparation of high-fidelity quantum states of the oscillator via spin-dependent generalized squeezing and mid-circuit measurement. A unifying feature of these applications is the geometric phase induced by generalized squeezing interactions, which is nonlinear in the Fock occupation of the oscillator and the interaction order of the generalized squeezing. This work provides a foundation for fast, high-fidelity discrete- and continuous-variable quantum computation and sensing in the hybrid spin-oscillator platform via generalized squeezing.

Quantum Physics (quant-ph); Atomic Physics (physics.atom-ph)

arXiv:2608.04197 [quant-ph]

(or arXiv:2608.04197v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.04197 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 268 words

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