Exponential separation in sensing continuous signals via squeezing
quant-ph
Submitted: 2026-09-30
Updated: 2026-09-30
Comments: 124 pages, 12 figures
License: http://creativecommons.org/licenses/by/4.0/
The gist: Quantum sensing traditionally focuses on using quantum resources such as squeezing and entanglement to improve precision for sensing fixed signals.
Terminology
Abstract
Quantum sensing traditionally focuses on using quantum resources such as squeezing and entanglement to improve precision for sensing fixed signals. However, in many applications such as gravitational-wave detection and electromagnetic-field sensing, the signal evolves continuously and varies through time. Additionally, the learner is free to prepare, control, and measure the sensor at arbitrary times, possibly chosen adaptively. In this work, we establish exponential separation in sensing time for continuously evolving signals due to the available squeezing. The signals we study are characterized by a pattern size T, and we find that a sensor with squeezing at least ω(sqrt T) offers a poly(T) sensing time, whereas those with squeezing at most o(sqrt T) must use an exponential sensing time in T.
Sources
- Quantum algorithms: A survey of applications and end-to-end complexities
- Exponential quantum advantage in processing massive classical data
- A Hierarchy for Replica Quantum Advantage
- Exponential advantage in continuous-variable quantum state learning
- Exponential quantum advantage for learning signals with a single qubit
- Adaptivity can help exponentially for shadow tomography
- Quantum memory advantage for quantum process tomography
- Quantum Computing Enhanced Sensing
- Principles of Quantum Communication Theory: A Modern Approach
Related papers
- Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
- Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
- Polynomial-time classical and quantum simulation of quantum impurity models
- Incoherent Imaging with Spatially Structured Quantum Probes
- A quasiparticle-protected superconducting qubit
- Theory of quantum-enhanced interferometry with general Markovian light sources