Quantum sensing of even- versus odd-body interactions
arXiv:2401.06729 · doi:10.1103/3f8n-b1kp
Abstract
We analyze the scaling of quantum Fisher information with the number of system particles in the limit of large number of particles, as a function of the number of parties interacting with each other, for encoding Hamiltonians having arbitrary-body interactions. We find that estimation of coupling strength of such arbitrary-body encoding Hamiltonians provide a super-Heisenberg scaling that increases monotonically with an increase in the number of interacting particles, in the limit of large number of system particles. Moreover, we also find that the optimal probes corresponding to Hamiltonians that contain even-body interaction terms, may be entangled, but certainly not so in all bipartitions, and particularly, it is possible to attain optimal precision using asymmetric probes. Thereby we find a complementarity in the requirement of asymmetry and genuine entanglement in optimal probes for estimating strength of odd- and even-body interactions respectively. Additionally, we provide an upper bound on the number of parties up to which one can always obtain an asymmetric product state that gives the best metrological precision for even-body interactions. En route, we find the quantum Fisher information in closed form for two- and three-body interactions for arbitrary number of parties. We also provide an analysis of the case when the Hamiltonian contains local fields and up to k-body interaction terms, where the strength of interaction gradually decreases with an increase in the number of parties interacting with each other. Interestingly, we find a similar dichotomy in the nature of the optimal probe in this case as well. Further, we identify conditions on the local component of the Hamiltonian, for which this dichotomy is still shown to exist for two- and three-body encoding Hamiltonians with arbitrary local dimensions.
18 pages, 4 figures, complete analytical analysis of the even-body interaction case provided, analysis of up to k-body interaction scenario included
References in corpus (33)
- Beating the Standard Quantum Limit with Four Entangled Photons
- Generalized Limits for Single-Parameter Quantum Estimation
- Three-body forces: From cold atoms to nuclei
- Realization of the quantum Toffoli gate with trapped ions
- Imaging the Mott Insulator Shells using Atomic Clock Shifts
- Quantum Metrology: Dynamics vs. Entanglement
- Optimal quantum estimation of loss in bosonic channels
- Optimal Quantum Measurements of Expectation Values of Observables
- Preparing and probing atomic number states with an atom interferometer
- Qubit metrology and decoherence
- Quantum-limited metrology with product states
- Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
- Entanglement Assisted Metrology
- A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
- Friction and diffusion of matter-wave bright solitons
- Continuous-variable quantum probes for structured environments
- Many-body nonlocality as a resource for quantum-enhanced metrology
- Demonstration of three- and four-body interactions between trapped-ion spins
- Relaxation of a high-energy quasiparticle in a one-dimensional Bose gas
- Variational principle for optimal quantum controls in quantum metrology
- Elastic Multi-Body Interactions on a Lattice
- Localization Driven Quantum Sensing
- Self-consistent many-body metrology
- On Decoherence in Quantum Clock Synchronization
- Three-body forces and Efimov physics in nuclei and atoms
- Entanglement-enhanced sensing using a chain of qubits with always-on nearest-neighbor interactions
- Quantum metrology with precision reaching beyond- scaling through -probe entanglement generating interactions
- Classical and quantum metrology of the Lieb-Liniger model
- The fastest generation of multipartite entanglement with natural interactions
- Restoring metrological quantum advantage of measurement precision in noisy scenario
- Exploring Many-body Interactions Through Quantum Fisher Information
- Quantum-enhanced sensing with variable-range interactions
- Enhancing precision of atomic clocks by tuning disorder in accessories