Adiabatic Quantum Estimation: A Numerical Study of the Heisenberg XX Model with Antisymmetric Exchange
arXiv:1910.13478 · doi:10.1142/S0219749920400018
Abstract
In this paper, we address the adiabatic technique for quantum estimation of the azimuthal orientation of a magnetic field. Exactly solving a model consisting of a two-qubit system, where one of which is driven by a static magnetic field while the other is coupled with the magnetic field rotating adiabatically, we obtain the analytical expression of the quantum Fisher information (QFI). We investigate how the two-qubit system can be used to probe the azimuthal direction of the field and analyze the roles of the intensities of the magnetic fields, Dzyaloshinskii-Moriya interaction, spin-spin coupling coefficient, and the polar orientation of the rotating field on the precision of the estimation. In particular, it is illustrated that the QFI trapping or saturation may occur if the qubit is subjected to a strong rotating field. Moreover, we discuss how the azimuthal direction of the rotating field can be estimated using only the qubit not affected by that field and investigate the conditions under which this strategy is more efficient than use of the qubit locally interacting with the adiabatically rotating field. Interestingly, in the one-qubit scenario, it was found that when the rotating field is weak, the best estimation is achieved by subjecting the probe to a static magnetic field.
References in corpus (43)
- Quantum sensing
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- High-sensitivity diamond magnetometer with nanoscale resolution
- Spin qubits in graphene quantum dots
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- Scanning magnetic field microscope with a diamond single-spin sensor
- A Quantum Rosetta Stone for Interferometry
- Quantum noise limited and entanglement-assisted magnetometry
- The spin quantum Hall effect in unconventional superconductors
- Individual quantum probes for optimal thermometry
- Spin-spin interaction and spin-squeezing in an optical lattice
- Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
- High-Resolution Magnetometry with a Spinor Bose-Einstein Condensate
- Experimental demonstration of a squeezing enhanced power recycled Michelson interferometer for gravitational wave detection
- Magnet field sensing beyond the standard quantum limit under the effect of decoherence
- Quantum metrology with a scanning probe atom interferometer
- Adiabatic approximation in open quantum systems
- Ion traps with enhanced optical and physical access
- Distant Clock Synchronization Using Entangled Photon Pairs
- Optimal quantum estimation in spin systems at criticality
- Cavity-enhanced room-temperature magnetometry using absorption by nitrogen-vacancy centers in diamond
- Quantum metrology in Lipkin-Meshkov-Glick critical systems
- Ultrasensitive Magnetometer Using a Single Atom
- Chemical compass model for avian magnetoreception as a quantum coherent device
- Ultrasensitive magnetic field detection using a single artificial atom
- Quantum coherence and sensitivity of avian magnetoreception
- Quantum Coherence and Entanglement in the Avian Compass
- Fidelity approach to the disordered quantum XY model
- Non-invasive detection of animal nerve impulses with an atomic magnetometer operating near quantum limited sensitivity
- Quantum-enhanced magnetometry by phase estimation algorithms with a single artificial atom
- Robust entanglement-based magnetic field sensor beyond the standard quantum limit
- A dynamical approach to ancilla assisted quantum thermometry
- Decoherence in the chemical compass: The role of decoherence for avian magnetoreception
- Mean-field Dynamics and Fisher Information in matterwave Interferometry
- Improved thermometry of low-temperature quantum systems by a ring-structure probe
- Universal quantum magnetometry with spin states at equilibrium
- Quantum metrology at level anti-crossing
- Multiparameter estimation, lower bound on quantum Fisher information and non-Markovianity witnesses of noisy two-qubit systems
- The discrimination problem for two ground states or two thermal states of the quantum Ising model
- Quantum thermometry in a squeezed thermal bath
- Weak measurement effect on optimal estimation with lower and upper bound on relativistic metrology
- Quantum Information Processing in the Radical-Pair Mechanism: Haberkorn theory violates the Ozawa entropy bound