Heisenberg Scaling in Many-Body Kinetic Uncertainty Relation via Quantum Feedback

• URL: http://arxiv.org/abs/2607.12264v1
• Date: Tue, 14 Jul 2026 02:07:52 GMT
• Title: Heisenberg Scaling in Many-Body Kinetic Uncertainty Relation via Quantum Feedback
• Abstract summary: Heisenberg scaling refers to the suppression of estimation variance as $1/N2$ with the particle number $N$.<n>We establish a protocol that achieves this scaling by applying quantum feedback to a superradiant spin ensemble.<n>Our results demonstrate that feedback can turn collective dissipation into a resource for Heisenberg scaling of counting precision.
• Score: 0.3867363075280543
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Precision is a central figure of merit for quantum devices, including quantum clocks whose performance is determined by the stability of counting events. Kinetic uncertainty relations set fundamental limits on the precision of such counting observables, showing that their fluctuations cannot be suppressed without increasing the activity of the system. While many-body effects offer a natural route to enhanced performance, it remains unclear how far they can enhance counting precision. In quantum metrology, Heisenberg scaling refers to the suppression of estimation variance as $1/N^2$ with the particle number $N$. This raises the question of whether the fluctuation of counting observables can exhibit an analogous Heisenberg-like $1/N^2$ scaling, but no protocol for achieving it has been established. We establish a protocol that achieves this scaling by applying quantum feedback to a superradiant spin ensemble. Because the superradiant enhancement of activity is transient, the scaling of counting precision becomes achievable only when it is controlled by feedback. We establish this result analytically through a many-body kinetic uncertainty relation and feedback-modified mean-field equations, and show it by numerical simulations. Our results demonstrate that feedback can turn collective dissipation into a resource for Heisenberg scaling of counting precision.

Related papers

• Identifying quantum coherence in quantum annealers [37.067444579637076]
  We use many-body coherent oscillations (MBCO) as a diagnostic for the identification of system-wide coherence in analog quantum simulators.<n>This work gives a general roadmap for the search for quantum coherence in noisy, large-scale quantum platforms.
  arXiv  Detail & Related papers  (2026-02-24T20:39:41Z)
• Nonlinear Heisenberg Limit via Uncertainty Principle in Quantum Metrology [10.101754802692438]
  We revisit the Heisenberg scaling by leveraging the position-momentum uncertainty relation in parameter space.<n>We experimentally demonstrate in quantum optical systems that this nonlinear-scaling enhancement can be achieved with a fixed probe energy.
  arXiv  Detail & Related papers  (2025-10-10T09:49:24Z)
• Heisenberg Scaling in a Continuous-Wave Interferometer [0.0]
  Continuous-wave (CW) interferometry has stood at the frontier of precision measurement science since its inception.<n>We demonstrate the first CW interferometer exhibiting resource efficiency approaching Heisenberg scaling.
  arXiv  Detail & Related papers  (2025-09-29T18:34:57Z)
• Surpassing the Global Heisenberg Limit Using a High-effciency Quantum Switch [3.5882185275249583]
  Indefinite causal orders have been shown to enable a precision of inverse square N in quantum parameter estimation.<n>This surpasses the widely accepted ultimate quantum precision of the Heisenberg limit, 1/N.<n>We present an ultrahigh-effciency quantum switch to estimate the geometric phase associated with a pair of conjugate position and momentum displacements embedded in a superposition of causal orders.
  arXiv  Detail & Related papers  (2025-05-06T08:16:39Z)
• Super-Heisenberg scaling of the quantum Fisher information using spin-motion states [0.0]
  We propose a spin-motion state for high-precision quantum metrology using a trapped ion system. We show that the adiabatic evolution creates a spin-squeezed state, which reduces the quantum projective noise to a sub-shot noise limit.
  arXiv  Detail & Related papers  (2024-11-15T11:33:03Z)
• Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays [45.19832622389592]
  Storing quantum information requires battling quantum decoherence, which results in a loss of information over time. To achieve error-resistant quantum memory, one would like to store the information in a quantum superposition of degenerate states engineered in such a way that local sources of noise cannot change one state into another. We show that this platform also allows to detect and correct certain types of errors en route to the goal of true error-resistant quantum memory.
  arXiv  Detail & Related papers  (2024-07-08T12:46:08Z)
• Scalable Spin Squeezing from Finite Temperature Easy-plane Magnetism [26.584014467399378]
  We conjecture that any Hamiltonian exhibiting finite temperature, easy-plane ferromagnetism can be used to generate scalable spin squeezing. Our results provide insights into the landscape of Hamiltonians that can be used to generate metrologically useful quantum states.
  arXiv  Detail & Related papers  (2023-01-23T18:59:59Z)
• Squeezing and overcoming the Heisenberg scaling with spin-orbit coupled quantum gases [0.0]
  We show that quadratic scaling with the number of atoms can be facilitated via squeezed center-of-mass excitations of the atomic motion. We identify corresponding optimal measurements and argue that even finite temperature as a source of decoherence is, in principle, rather favorable for the obtainable precision scaling.
  arXiv  Detail & Related papers  (2022-11-18T18:58:06Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• Global Heisenberg scaling in noisy and practical phase estimation [52.70356457590653]
  Heisenberg scaling characterizes the ultimate precision of parameter estimation enabled by quantum mechanics. We study the attainability of strong, global notions of Heisenberg scaling in the fundamental problem of phase estimation.
  arXiv  Detail & Related papers  (2021-10-05T06:57:55Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Quantum Zeno effect appears in stages [64.41511459132334]
  In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
  arXiv  Detail & Related papers  (2020-03-23T18:17:36Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.