Heisenberg scaling with classical long-range correlations

2017/08/31 by Samuel Fernández-Lorenzo, Jacob Dunningham, Jacob A. Dunningham +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Amplitude #Ferromagnetism #Heisenberg model #Lattice (music) #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Quantum optics and atomic interactions #Qubit #Range (aeronautics) #Scaling #Spectroscopy and Quantum Chemical Studies #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.97.023843

published as Phys. Rev. A 97, 023843 (2018) · 11 pages, 2 figures. Comments are welcome

openalex created_date 2017/09/15 · arxiv created 2017/12/20 · openalex publication_date 2018/02/27 · arxiv updated 2018/03/07 · openalex updated_date 2026/08/05

Abstract

The Heisenberg scaling is typically associated with nonclassicality and entanglement. In this work, however, we discuss how classical long-range correlations between lattice sites in many-body systems may lead to a 1/N scaling in precision with the number of probes in the context of quantum optical dissipative systems. In particular, we show that networks of coupled single qubit lasers can be mapped onto a classical XY model, and a Heisenberg scaling with the number of sites appears when estimating the amplitude and phase of a weak periodic driving field.

Citations

• There are no Goldstone bosons in two dimensions
• Quantum-enhanced measurements: beating the standard quantum limit
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
• Ordering, metastability and phase transitions in two-dimensional systems
• Synchronization Reveals Topological Scales in Complex Networks
• Simulating the classical XY model with a laser network
• Boltzmann sampling for an XY model using a non-degenerate optical parametric oscillator network

Cited by

• Enhanced two-parameter phase-space-displacement estimation close to a dissipative phase transition