Steady-state entanglement of interacting masses in free space through optimal feedback control

Klemens Winkler; Anton V. Zasedatelev; Benjamin A. Stickler; Uroš Delić; Andreas Deutschmann-Olek; Markus Aspelmeyer

doi:10.48550/arXiv.2408.07492

Steady-state entanglement of interacting masses in free space through optimal feedback control

Klemens Winkler
, Anton V. Zasedatelev
, Benjamin A. Stickler
, Uroš Delić
, Andreas Deutschmann-Olek
, Markus Aspelmeyer

Quantum Science

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We develop a feedback strategy based on optimal quantum feedback control for Gaussian systems to maximize the likelihood of steady-state entanglement detection between two directly interacting masses. We employ linear quadratic Gaussian control to engineer the phase-space dynamics of the two masses and propose Einstein-Podolsky-Rosen-type variance minimization constraints for the feedback to facilitate unconditional entanglement generation. This scheme allows for stationary entanglement in parameter regimes where strategies based on total energy minimization (cooling) would fail.

Original language	English
Article number	043298
Number of pages	10
Journal	Physical Review Research
Volume	7
Issue number	4
DOIs	https://doi.org/10.48550/arXiv.2408.07492 https://doi.org/10.1103/hxc8-fxcb
Publication status	Published - Dec 2025

Funding

K.W. and M.A. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 951234), and from the Research Network Quantum Aspects of Spacetime (TURIS). K.W. acknowledges the support by the Vienna Doctoral School in Physics (VDSP). B.A.S. acknowledges funding by the DFG–510794108 as well as by the Carl-Zeiss-Foundation through the project QPhoton. U.D. acknowledges funding from the Austrian Science Fund (FWF, Project DOI 10.55776/I5111). A.D. acknowledges partial support by the Austrian Science Fund (FWF) [10.55776/COE1, 10.55776/PAT9140723] and the European Union NextGenerationEU. A.V.Z. acknowledges support from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant LOREN (Grant Agreement ID: 101030987).

Funders	Funder number
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)	10.55776/I5111, 10.55776/COE1, PAT9140723
European Commission	951234, 101030987

Austrian Fields of Science 2012

103025 Quantum mechanics
103026 Quantum optics

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10.48550/arXiv.2408.07492Licence: CC BY 4.0
10.1103/hxc8-fxcbLicence: CC BY 4.0

Cite this

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abstract = "We develop a feedback strategy based on optimal quantum feedback control for Gaussian systems to maximize the likelihood of steady-state entanglement detection between two directly interacting masses. We employ linear quadratic Gaussian control to engineer the phase-space dynamics of the two masses and propose Einstein-Podolsky-Rosen-type variance minimization constraints for the feedback to facilitate unconditional entanglement generation. This scheme allows for stationary entanglement in parameter regimes where strategies based on total energy minimization (cooling) would fail.",

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Steady-state entanglement of interacting masses in free space through optimal feedback control

Abstract

Funding

Austrian Fields of Science 2012

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quantA: Quantum Science Austria

Q-Xtreme: Macroscopic Quantum Superpositions

Regelung von Quantenzuständen: Control of motional quantum states for levitated particles

Cite this

Steady-state entanglement of interacting masses in free space through optimal feedback control

Abstract

Funding

Austrian Fields of Science 2012

Access to Document

Other files and links

Fingerprint

Projects

quantA: Quantum Science Austria

Q-Xtreme: Macroscopic Quantum Superpositions

Regelung von Quantenzuständen: Control of motional quantum states for levitated particles

Cite this