Enhancing precision thermometry with nonlinear qubits
arXiv:2408.16664 · doi:10.1088/2058-9565/adac05
Abstract
Quantum thermometry refers to the study of measuring ultra-low temperatures in quantum systems. The precision of such a quantum thermometer is limited by the degree to which temperature can be estimated by quantum measurements. More precisely, the maximal precision is given by the inverse of the quantum Fisher information. In the present analysis, we show that quantum thermometers that are described by nonlinear Schrödinger equations allow for a significantly enhanced precision, that means larger quantum Fisher information. This is demonstrated for a variety of pedagogical scenarios consisting of single and two-qubits systems. The enhancement in precision is indicated by non-vanishing quantum speed limits, which originate in the fact that the thermal, Gibbs state is typically not invariant under the nonlinear equations of motion.
arXiv comment9 pages, 4 figures
References in corpus (56)
- Advances in Quantum Metrology
- The maximum speed of dynamical evolution
- Quantum Fisher information matrix and multiparameter estimation
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Quantum speed limit for non-Markovian dynamics
- Generalized Limits for Single-Parameter Quantum Estimation
- Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
- The fundamental limit on the rate of quantum dynamics: the unified bound is tight
- Generalized Geometric Quantum Speed Limits
- Thermometry in the quantum regime: Recent theoretical progress
- Exponentially Enhanced Quantum Metrology
- Analytically solvable driven time-dependent two-level quantum systems
- Environment assisted speed-up of the field evolution in cavity QED
- In situ thermometry of a cold Fermi gas via dephasing impurities
- Qubit thermometry for micromechanical resonators
- Nonlinear quantum metrology of many-body open systems
- Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
- Precision thermometry and the quantum speed limit
- Qubit-assisted thermometry of a quantum harmonic oscillator
- Quantum thermometry by single-qubit dephasing
- Geometric quantum speed limits: a case for Wigner phase space
- Fundamental limits on low-temperature quantum thermometry with finite resolution
- Exactly solvable two-level quantum systems and Landau-Zener interferometry
- Quantum speed limits and the maximal rate of information production
- Quantum Speed Limit and optimal evolution time in a two-level system
- Action quantum speed limits
- Macroscopic quantum information processing using spin coherent states
- Bridging thermodynamics and metrology in non-equilibrium Quantum Thermometry
- Enhanced precision bound of low-temperature quantum thermometry via dynamical control
- Probing Quantum Speed Limits with Ultracold Gases
- Optimal Probes for Global Quantum Thermometry
- Optimal Quantum Thermometry with Coarse-grained Measurements
- Global and local thermometry schemes in coupled quantum systems
- From quantum speed limits to energy-efficient quantum gates
- Thermometry of Strongly Correlated Fermionic Quantum Systems using Impurity Probes
- A dynamical approach to ancilla assisted quantum thermometry
- Spectroscopy and critical quantum thermometry in the ultrastrong coupling regime
- Low-temperature quantum thermometry boosted by coherence generation
- Geometric quantum speed limits and short-time accessibility to unitary operations
- Multiparameter critical quantum metrology with impurity probes
- Optimal state discrimination and unstructured search in nonlinear quantum mechanics
- Mechanical oscillator thermometry in the nonlinear optomechanical regime
- Super-Heisenberg scaling in Hamiltonian parameter estimation in the long-range Kitaev chain
- Speed of qubit states during thermalisation
- Multi-spin probes for thermometry in the strong-coupling regime
- Optimal nonequilibrium thermometry in Markovian environments
- Quantum Search with General Nonlinearities
- Diverging quantum speed limits: a herald of classicality
- Non-equilibrium readiness and accuracy of Gaussian Quantum Thermometers
- Trade-off between information and disturbance in qubit thermometry
- Non-Orthogonal Bases for Quantum Metrology
- Why Mercury is a superconductor
- Stochastic collisional quantum thermometry
- Invasiveness of non-equilibrium quantum thermometry
- Role of topology in determining the precision of a finite thermometer
- Conditional quantum thermometry -- enhancing precision by measuring less
Cited by in corpus (5)
- Metrological symmetries in singular quantum multi-parameter estimation
- Quantum thermodynamics of Gross-Pitaevskii qubits
- Suppressing excitations in the nonlinear Landau-Zener model
- Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach
- Quantum speed limit for observables from quantum asymmetry