Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied
arXiv:2103.12939 · doi:10.22331/q-2021-07-01-489
Abstract
We show that the quantum Fisher information attained in an adiabatic approach to critical quantum metrology cannot lead to the Heisenberg limit of precision and therefore regular quantum metrology under optimal settings is always superior. Furthermore, we argue that even though shortcuts to adiabaticity can arbitrarily decrease the time of preparing critical ground states, they cannot be used to achieve or overcome the Heisenberg limit for quantum parameter estimation in adiabatic critical quantum metrology. As case studies, we explore the application of counter-diabatic driving to the Landau-Zener model and the quantum Rabi model.
22 pages, 6 figures
References in corpus (17)
- Shortcut to adiabatic passage in two and three level atoms
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Quantum critical scaling of the geometric tensors
- Fisher Information and entanglement of non-Gaussian spin states
- Generalized Limits for Single-Parameter Quantum Estimation
- Quantum criticality as a resource for quantum estimation
- Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
- Fast atomic transport without vibrational heating
- Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled cat States via Parametric Amplification
- Dynamic framework for criticality-enhanced quantum sensing
- Optimal quantum estimation in spin systems at criticality
- Optimal phase measurements with pure Gaussian states
- Quantum metrology in Lipkin-Meshkov-Glick critical systems
- Direct observation of quantum criticality in Ising spin chains
- Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
- Ultrafast critical ground state preparation via bang-bang protocols
- Shortcut-to-adiabaticity-like techniques for parameter estimation in quantum metrology
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- Criticality-Enhanced Quantum Sensing via Continuous Measurement
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- Combining critical and quantum metrology
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- Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
- Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
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- Multiparameter critical quantum metrology with impurity probes
- Quantum metrology with critical driven-dissipative collective spin system
- Localization Driven Quantum Sensing
- Quantum metrology in the noisy intermediate-scale quantum era
- Squeezing and overcoming the Heisenberg scaling with spin-orbit coupled quantum gases
- Critical quantum thermometry and its feasibility in spin systems
- Unique Steady-State Squeezing in a Driven Quantum Rabi Model
- Criticality-Based Quantum Metrology in the Presence of Decoherence
- Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
- Non-Gaussian superradiant transition via three-body ultrastrong coupling
- Uncertain Quantum Critical Metrology: From Single to Multi Parameter Sensing
- Universal shot-noise limit for quantum metrology with local Hamiltonians
- Quantum metrology based on symmetry-protected adiabatic transformation: Imperfection, finite time duration, and dephasing
- Relations between quantum metrology and criticality in general su(1, 1) systems
- Multicritical quantum sensors driven by symmetry-breaking
- Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
- Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
- From dynamical to steady-state many-body metrology: Precision limits and their attainability with two-body interactions
- Quantum Metrology in the Ultrastrong Coupling Regime of Light-Matter Interactions: Leveraging Virtual Excitations without Extracting Them