Coherence, Quantum Fisher Information, Superradiance and Entanglement are Interconvertible Resources
arXiv:1711.07185 · doi:10.1103/PhysRevA.97.052304
Abstract
We demonstrate that quantum Fisher information and superradiance can be formulated as coherence measures in accordance with the resource theory of coherence, thus establishing a direct link between metrological information, superradiance and coherence. We also show that the trivial coherence measure has a metrological interpretation. The arguments are then generalized to show that coherence may be considered as the underlying fundamental resource for any functional of state that is first of all faithful, and second of all concave or linear. Arguments are then presented that show quantum Fisher information and the superradiant quantity are in fact antithetical resources in the sense that if coherence were directed to saturate one quantity, then it must come at the expense of the other. Finally, a key result of the paper is to demonstrate that coherence, quantum Fisher information, superradiant quantity, and entanglement are mutually interconvertible resources under incoherent operations.
11 pages, 3 figures
References in corpus (2)
Cited by in corpus (29)
- Nonclassical Light and Metrological Power: An Introductory Review
- Family of coherence measures and duality between quantum coherence and path distinguishability
- Entanglement as the symmetric portion of correlated coherence
- Fisher information universally identifies quantum resources
- Protecting quantum Fisher information in correlated quantum channels
- Interrelation between Partial Coherence and Quantum Correlations
- Generating steady quantum coherence and magic through an autonomous thermodynamic machine by utilizing a spin bath
- Converting quantum coherence to genuine multipartite entanglement and nonlocality
- Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
- Quantum coherence and speed limit in the mean-field Dicke model of superradiance
- Variational quantum algorithms to estimate rank, quantum entropies, fidelity and Fisher information via purity minimization
- Coherence of operations and interferometry
- Unification of quantum resources in tripartite systems
- Quantifying coherence in terms of Fisher information
- Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation
- Entanglement-interference complementarity and experimental demonstration in a superconducting circuit
- Quantifying dynamical coherence with coherence measures
- Converting coherence based on positive-operator-valued measures into entanglement
- Partial coherence versus entanglement
- Quantum error correction assisted quantum metrology without entanglement
- Detecting Macroscopic Indefiniteness of Cat States in Bosonic Interferometers
- Influence of initial states on memory effects: A study of early-time superradiance
- Linear semi-infinite programming approach for entanglement quantification
- Interconversion between block coherence and multipartite entanglement in many-body systems
- Uncertainty relations between quantum Fisher information and entanglement monotones
- Distillation of maximally correlated bosonic matter from many-body quantum coherence
- Quantum partial coherence measures constructed from Fisher information
- Optimal-speed unitary quantum time evolutions and propagation of light with maximal degree of coherence
- Operational Interpretation of Quantum Fisher Information in Quantum Thermodynamics