Unification of quantum resources in tripartite systems
arXiv:2205.07265 · doi:10.1103/PhysRevA.106.042415
Abstract
In quantum resource theories (QRTs), there exists evidences of intrinsic connections among different measures of quantum resources, including entanglement, coherence, quantum steering, and so on. However, building the relations among different quantum resources is a vital yet challenging task in multipartite quantum systems. Here, we focus on a unified framework of interpreting the interconversions among different quantum resources in tripartite systems. In particular, an exact relation between the generalized geometric measure and the genuinely multipartite concurrence are derived for tripartite entanglement states. Then we obtain the tradeoff relation between the first-order coherence and the genuine tripartite entanglement by the genuinely multipartite concurrence and concurrence fill. Furthermore, the tradeoff relation between the maximum steering inequality violation and concurrence fill for an arbitrary three-qubit pure state is found. In addition, we investigate the close relation between the maximum steering inequality violation and the first-order coherence. The results show that these quantum resources are intrinsic related and can be converted to each other in the framework of QRTs, although they are still regarded to be different.
arXiv comment12 pages, 5 figures
References in corpus (45)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Advances in Quantum Metrology
- Distributed Entanglement
- Noisy intermediate-scale quantum (NISQ) algorithms
- Quantum Resource Theories
- Measuring Quantum Coherence with Entanglement
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Global entanglement in multiparticle systems
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Quantum coherence in multipartite systems
- Observation of Entangled States of a Fully Controlled 20-Qubit System
- A computable measure of nonclassicality for light
- EPR Steering Inequalities from Entropic Uncertainty Relations
- A comparison of entanglement measures
- Measure of genuine multipartite entanglement with computable lower bounds
- Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
- Quantification of Einstein-Podolski-Rosen steering for two-qubit states
- Unified quantification of nonclassicality and entanglement
- Quantum randomness extraction for various levels of characterization of the devices
- Genuinely Multipartite Concurrence of N-qubit X-matrices
- Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
- Channel Capacities versus Entanglement Measures in Multiparty Quantum States
- A Triangle Governs Genuine Tripartite Entanglement
- Quantum-memory-assisted entropic uncertainty relations
- Geometric Bell-like inequalities for steering
- Revealing Hidden Coherence in Partially Coherent Light
- Tight steering inequalities from generalized entropic uncertainty relations
- Experimental entanglement of 25 individually accessible atomic quantum interfaces
- Quantifying the nonlocality of GHZ quantum correlations by a bounded communication simulation protocol
- Coherence, Quantum Fisher Information, Superradiance and Entanglement are Interconvertible Resources
- Experimental few-copy multi-particle entanglement detection
- Generalized Geometric Measure of Entanglement for Multiparty Mixed States
- Experimental demonstration of robust quantum steering
- Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
- Revealing of hidden quantum steerability using local filtering operations
- Shareability of Quantum Steering and its Relation with Entanglement
- Maximally dense coding capable quantum states
- Entanglement, coherence, and redistribution of quantum resources in double spontaneous downconversion processes
- Experimental tests of coherence and entanglement conservation
- Complementarity between Tripartite Quantum Correlation and Bipartite Bell Inequality Violation in Three Qubit States
- Forbidden regimes in the distribution of bipartite quantum correlations due to multiparty entanglement
- Unified framework for quantumness -- coherence, discord, and entanglement
- Lower bounds on violation of monogamy inequality for quantum correlation measures
Cited by in corpus (8)
- Quantum Characteristics Near Event Horizons
- Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
- Quantifying genuine tripartite entanglement by reshaping the state
- Quantumness near the Schwarzschild black hole based on W-state
- Quantifying multipartite quantum states by ()-partite entanglement measures
- Steering in Neutrino Oscillations with Non-Standard Interaction
- Stationary two-qubit entanglement mediated by one-dimensional plasmonic nanoarrays
- Maximum residual strong monogamy inequality for multiqubit entanglement