Metrological usefulness of entanglement and nonlinear Hamiltonians
arXiv:2405.15703 · doi:10.1103/PhysRevA.111.L020402
Abstract
A central task in quantum metrology is to exploit quantum correlations to outperform classical sensitivity limits. Metrologically useful entanglement is identified when the quantum Fisher information (QFI) exceeds a separability bound for a given parameter-encoding Hamiltonian. However, so far, only results for linear Hamiltonians are well-established. Here, we characterize metrologically useful entanglement for nonlinear Hamiltonians, presenting separability bounds for collective angular momenta. Also, we provide a general expression for entangled states maximizing the QFI, which can be written as the superposition between the GHZ-like and singlet states. Finally, we compare the metrological usefulness of linear and nonlinear cases, in terms of entanglement detection and random symmetric states.
arXiv comment16 pages, 7 figures
References in corpus (75)
- Quantum entanglement
- The Quantum Internet
- Advances in Quantum Metrology
- Quantum secret sharing
- Quantum metrology
- Entanglement detection
- Persistent entanglement in arrays of interacting particles
- Decoherence Free Subspaces for Quantum Computation
- Quantum Coherence as a Resource
- Quantum metrology with nonclassical states of atomic ensembles
- How to share a quantum secret
- Noiseless Quantum Codes
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Logical quantum processor based on reconfigurable atom arrays
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum spin squeezing
- Quantum metrology from a quantum information science perspective
- Quantum entanglement in condensed matter systems
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Probing entanglement entropy via randomized measurements
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Entanglement Measures under Symmetry
- Chaos and complexity by design
- Fisher Information and entanglement of non-Gaussian spin states
- Generalized Limits for Single-Parameter Quantum Estimation
- Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
- Towards a global quantum network
- Colloquium: Quantum Batteries
- Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
- General optimality of the Heisenberg limit for quantum metrology
- Quantum Metrology: Dynamics vs. Entanglement
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Bounds on the capacity and power of quantum batteries
- Optimal spin squeezing inequalities detect bound entanglement in spin models
- Spin squeezing and pairwise entanglement for symmetric multiqubit states
- Spin squeezing and entanglement
- Spin squeezing inequalities and entanglement of qubit states
- Multi-parameter estimation beyond Quantum Fisher Information
- Exponentially Enhanced Quantum Metrology
- Quantum Non-Demolition Detection of Strongly Correlated Systems
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Sensitivity Bounds for Multiparameter Quantum Metrology
- The geometric measure of entanglement for symmetric states
- Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial
- Separability properties of tripartite states with UxUxU-symmetry
- Scalable spin squeezing in a dipolar Rydberg atom array
- Plaquette Resonating-Valence-Bond Ground State of CaVO
- Quantum-limited metrology with product states
- Genuine Network Multipartite Entanglement
- Nonlinear quantum metrology of many-body open systems
- A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
- Random bosonic states for robust quantum metrology
- Ultimate limits to quantum metrology and the meaning of the Heisenberg limit
- -Corrected Heisenberg Limit
- Witnessing Multipartite Entanglement without Entanglement Witness Operators
- Efficient entanglement criteria for discrete, continuous, and hybrid variables
- Quantum-limited metrology and Bose-Einstein condensates
- Adiabatic Preparation of a Heisenberg Antiferromagnet Using an Optical Superlattice
- Supersinglets
- Quantum entanglement in the triangle network
- Macroscopic singlet states for gradient magnetometry
- Symmetries in quantum networks lead to no-go theorems for entanglement distribution and to verification techniques
- Ultrasensitive Atomic Spin Measurements with a Nonlinear Interferometer
- Solving the liar detection problem using the four-qubit singlet state
- Activating hidden metrological usefulness
- Analysing quantum systems with randomised measurements
- Detecting Hidden Differences via Permutation Symmetries
- Dynamical creation of bosonic Cooper-like pairs
- Activation of metrologically useful genuine multipartite entanglement
- Exploring Many-body Interactions Through Quantum Fisher Information
- Beyond i.i.d. in the Resource Theory of Asymmetry: An Information-Spectrum Approach for Quantum Fisher Information
- Multiparticle singlet states cannot be maximally entangled for the bipartitions