Optimality and Noise-Resilience of Critical Quantum Sensing
arXiv:2402.15559 · doi:10.1103/PhysRevLett.133.040801
Abstract
We compare critical quantum sensing to passive quantum strategies to perform frequency estimation, in the case of single-mode quadratic Hamiltonians. We show that, while in the unitary case both strategies achieve precision scaling quadratic with the number of photons, in the presence of dissipation this is true only for critical strategies. We also establish that working at the exceptional point or beyond threshold provides sub-optimal performance. This critical enhancement is due to the emergence of a transient regime in the open critical dynamics, and is invariant to temperature changes. When considering both time and system size as resources, for both strategies the precision scales linearly with the product of the total time and the number of photons, in accordance with fundamental bounds. However, we show that critical protocols outperform optimal passive strategies if preparation and measurement times are not negligible. Our results are applicable to a broad variety of critical sensors whose phenomenology can be reduced to that of a single-mode quadratic Hamiltonian, including systems described by finite-component and fully-connected models.
7+12 pages, 7 figures. Main text and SM updated
References in corpus (58)
- Quantum sensing
- Advances in Quantum Metrology
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Entanglement and the Phase Transition in Single Mode Superradiance
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Using entanglement against noise in quantum metrology
- Quantum criticality as a resource for quantum estimation
- Critical Quantum metrology with a finite-component quantum phase transition
- The Thermodynamical Limit of the Lipkin-Meshkov-Glick Model
- Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
- Dynamic framework for criticality-enhanced quantum sensing
- Superradiance transition in a system with a single qubit and a single oscillator
- Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
- Enhanced metrology at the critical point of a many-body Rydberg atomic system
- Optimal quantum estimation in spin systems at criticality
- Criticality-Enhanced Quantum Sensing via Continuous Measurement
- Quantum critical metrology
- Adaptive quantum metrology under general Markovian noise
- Squeezing with a flux-driven Josephson parametric amplifier
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
- Low-noise kinetic inductance traveling-wave amplifier using three-wave mixing
- Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
- Critical parametric quantum sensing
- Dynamical phase transitions as a resource for quantum enhanced metrology
- Quantum sensing close to a dissipative phase transition: symmetry breaking and criticality as metrological resources
- A quantum transducer using a parametric driven-dissipative phase transition
- Global sensing and its impact for quantum many-body probes with criticality
- Dicke coupling by feasible local measurements at the superradiant quantum phase transition
- Universal spectral features of ultrastrongly coupled systems
- Asymptotic theory of quantum channel estimation
- Continuous sensing and parameter estimation with the boundary time-crystal
- Many-body nonlocality as a resource for quantum-enhanced metrology
- Combining critical and quantum metrology
- Quantum transition-edge detectors
- Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
- Unified Superradiant phase transitions
- Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
- Using adaptiveness and causal superpositions against noise in quantum metrology
- Finite-system Multicriticality at the Superradiant Quantum Phase Transition
- Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
- Efficient Information Retrieval for Sensing via Continuous Measurement
- Critical quantum metrology assisted by real-time feedback control
- Adiabatic quantum metrology with strongly correlated quantum optical systems
- Quantum behavior of a superconducting Duffing oscillator at the dissipative phase transition
- Microwave photon detection at parametric criticality
- Spectroscopy and critical quantum thermometry in the ultrastrong coupling regime
- Squeezing by Critical Speeding-up: Applications in Quantum Metrology
- Supersensitive quantum sensor based on criticality in an antiferromagnetic spinor condensate
- Exponential precision by reaching a quantum critical point
- Dissipative phase transitions in -photon driven quantum nonlinear resonators
- Mass sensing by quantum criticality
- Criticality-enhanced Electric Field Gradient Sensor with Single Trapped Ions
- Critical quantum sensing based on the Jaynes-Cummings model with a squeezing drive
- Enhanced Two-Parameter Phase-Space-Displacement Estimation Close to Dissipative Phase Transition
- Enhancement of Quantum Sensing in a Cavity Optomechanical System around Quantum Critical Point
- New bounds on adaptive quantum metrology under Markovian noise
- Non-Gaussian superradiant transition via three-body ultrastrong coupling
- Quantum Thermometry with a Dissipative Quantum Rabi System
Cited by in corpus (21)
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Multiparameter critical quantum metrology with impurity probes
- Criticality-Enhanced Quantum Sensing with a Parametric Superconducting Resonator
- Collective quantum enhancement in critical quantum sensing
- Uncertain Quantum Critical Metrology: From Single to Multi Parameter Sensing
- Interplay between time and energy in bosonic noisy quantum metrology
- Critical quantum metrology in a stabilized two-photon Rabi model
- Quantum Metrology with Higher-order Exceptional Points in Atom-cavity Magnonics
- Metrological symmetries in singular quantum multi-parameter estimation
- Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
- From dynamical to steady-state many-body metrology: Precision limits and their attainability with two-body interactions
- Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
- Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
- Numerical simulation methods for quantum sensing at parametric criticality
- Investigating Lipkin-Meshkov-Glick Model and Criticality-Enhanced Metrology in a Coherent Ising Machine
- Squeezing enhanced sensing at an exceptional point
- Time correlations from steady-state expectation values
- Enhancement of quantum sensing in a dissipatively coupled two-mode system
- Phonon-induced two-axis spin squeezing with decoherence reduction in hybrid spin-optomechanical system
- Graphene Josephson Junctions for Engineering Motional Quanta
- Enhanced quantum metrology by criticality-assisted noncommutative preparation