Exponentially-enhanced quantum sensing with many-body phase transitions
arXiv:2410.11426 · doi:10.1038/s41467-025-60291-6
Abstract
Quantum sensors based on critical many-body systems are known to exhibit enhanced sensing capability. Such enhancements typically scale algebraically with the probe size. Going beyond algebraic advantage and reaching exponential scaling has remained elusive when all the resources, such as the preparation time, are taken into account. In this work, we show that many-body systems featuring first order quantum phase transitions can indeed achieve exponential scaling of sensitivity, thanks to their exponential energy gap closing. Remarkably, even after considering the preparation time using local adiabatic driving, the exponential scaling is sustained. Our results are demonstrated through comprehensive analysis of three paradigmatic models exhibiting first order phase transitions, namely Grover, -spin, and biclique models. We show that this scaling survives moderate decoherence during state preparation and also can be optimally measured in experimentally available basis. Our findings comply with the fundamental bounds and we show that one can harness the exponential advantage through an adaptive strategy even away from the phase transition point.
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References in corpus (51)
- Quantum sensing
- Quantum-enhanced measurements: beating the standard quantum limit
- Ground state overlap and quantum phase transitions
- Entanglement-free Heisenberg-limited phase estimation
- Quantum Search by Local Adiabatic Evolution
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Metrology with -symmetric cavities: Enhanced sensitivity near the -phase transition
- Non-Hermitian Topological Sensors
- Generalized Limits for Single-Parameter Quantum Estimation
- Modeling spontaneous breaking of time-translation symmetry
- Quantum criticality as a resource for quantum estimation
- Adaptive homodyne measurement of optical phase
- No exceptional precision of exceptional point sensors
- Tunable-range, photon-mediated atomic interactions in multimode cavity QED
- Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics
- Cavity Mediated Collective Spin Exchange Interactions in a Strontium Superradiant Laser
- Noisy metrology beyond the standard quantum limit
- Dynamic framework for criticality-enhanced quantum sensing
- The ultimate precision limits for noisy frequency estimation
- Optimized quantum sensing with a single electron spin using real-time adaptive measurements
- Exponentially Enhanced Quantum Metrology
- Photon-Mediated Spin-Exchange Dynamics of Spin-1 Atoms
- Quantum Adiabatic Brachistochrone
- Criticality-Enhanced Quantum Sensing via Continuous Measurement
- Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system
- Optimal non-linear passage through a quantum critical point
- Quantum annealing with antiferromagnetic fluctuations
- Energy gaps in quantum first-order mean-field-like transitions: The problems that quantum annealing cannot solve
- A quantum transducer using a parametric driven-dissipative phase transition
- Restoring Heisenberg scaling in noisy quantum metrology by monitoring the environment
- Global sensing and its impact for quantum many-body probes with criticality
- High-density quantum sensing with dissipative first order transitions
- Exponential Enhancement of the Efficiency of Quantum Annealing by Non-Stochastic Hamiltonians
- Experimental Demonstration of Adaptive Quantum State Estimation
- Noisy quantum metrology enhanced by continuous nondemolition measurement
- Fundamental Sensitivity Limits for non-Hermitian Quantum Sensors
- Quantum metrology with boundary time crystals
- Driving enhanced quantum sensing in partially accessible many-body systems
- Quantum phase transitions in fully connected spin models: an entanglement perspective
- Floquet time-crystals as sensors of AC fields
- Supersensitive quantum sensor based on criticality in an antiferromagnetic spinor condensate
- Optimal cold atom thermometry using adaptive Bayesian strategies
- Stark localization as a resource for weak-field sensing with super-Heisenberg precision
- Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
- In and out of equilibrium quantum metrology with mean-field quantum criticality
- Localization Driven Quantum Sensing
- Self-consistent many-body metrology
- Fundamental limits of metrology at thermal equilibrium
- Critical non-Hermitian topology induced quantum sensing
- Benchmarking Bayesian quantum estimation
- Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
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- Quantum sensing with discrete time crystals in the Lipkin-Meshkov-Glick Model