Heisenberg Scaling in Many-Body Kinetic Uncertainty Relation via Quantum Feedback
- Published
- Source
- arXiv
- Paper number
- 622
- Field
- Research
- arXiv ID
- 2607.12264
Key points
- It analyzes the counting precision of a superradiant spin ensemble using a many-body kinetic uncertainty relation and mean-field equations incorporating feedback.
- Feedback after quantum jumps sustains transient superradiant activity, maintaining collective effects that depend on the particle number N.
- Both analytical results and numerical simulations showed Heisenberg-like scaling, with the variance of the counting observable decreasing as 1/N².
- It proposes a design principle for turning collective dissipation from noise into a resource for precision in quantum clocks and counting devices.
- The results are based on theory and numerical simulations of a specific superradiant spin model, and no experimental validation on actual devices was presented.
Paper links
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