Converting multilevel nonclassicality into genuine multipartite entanglement

Abstract

Characterizing genuine quantum resources and determining operational rules for their manipulation are crucial steps to appraise possibilities and limitations of quantum technologies. Two such key resources are nonclassicality, manifested as quantum superposition between reference states of a single system, and entanglement, capturing quantum correlations among two or more subsystems. Here we present a general formalism for the conversion of nonclassicality into multipartite entanglement, showing that a faithful reversible transformation between the two resources is always possible within a precise resource-theoretic framework. Specializing to quantum coherence between the levels of a quantum system as an instance of nonclassicality, we introduce explicit protocols for such a mapping. We further show that the conversion relates multilevel coherence and multipartite entanglement not only qualitatively, but also quantitatively, restricting the amount of entanglement achievable in the process and in particular yielding an equality between the two resources when quantified by fidelity-based geometric measures.

10 pages, 1 figure

References in corpus (16)

• The Quantum Internet
• Measuring Quantum Coherence with Entanglement
• Frozen Quantum Coherence
• A computable measure of nonclassicality for light
• Linking Quantum Discord to Entanglement in a Measurement
• All non-classical correlations can be activated into distillable entanglement
• Multipartite entanglement in spin chains
• Entanglement Theory and the Second Law of Thermodynamics
• A resource theory of superposition
• Linking a distance measure of entanglement to its convex roof
• Convex geometry of quantum resource quantification
• Quantifying the Coherence Between Coherent States
• Axiomatic and operational connections between the $l_1$-norm of coherence and negativity
• Coherence number as a discrete quantum resource
• Generalized Coherence Concurrence and Path distinguishability
• Multi-partite entanglement

Cited by in corpus (28)

• One-shot coherence distillation
• Certification and Quantification of Multilevel Quantum Coherence
• Experimental progress on quantum coherence: detection, quantification, and manipulation
• Generic bound coherence under strictly incoherent operations
• Characterizing Quantum Networks: Insights from Coherence Theory
• Activation of entanglement from quantum coherence and superposition
• Quantum current in dissipative systems
• Quantifying dynamical coherence with dynamical entanglement
• Coherence measure: Logarithmic coherence number
• Of Local Operations and Physical Wires
• Genuine Distributed Coherence
• Relation between Quantum Coherence and Quantum Entanglement in Quantum Measurements
• Resource theory of superposition: State transformations
• Some notes on the robustness of k-coherence and k-entanglement
• Monotones in General Resource Theories
• Entanglement of genuinely entangled subspaces and states: exact, approximate, and numerical results
• Quantum coherence fraction
• Coherence and quantum correlations measure sensitivity to dephasing channels
• Criteria to detect genuine multipartite entanglement using spin measurements
• Deterministic transformations of multilevel coherent states under incoherence-preserving operations
• Quantifications for multi-mode entanglement
• Coherence and Imaginarity as Resources in Quantum Circuit Complexity
• Entanglement balance of quantum $(e,2e)$ scattering processes
• Anatomy of entanglement and nonclassicality criteria
• Manifestation of Superposition and Coherence in $\mathcal{P}\mathcal{T}$-symmetry through the $\eta$-inner Product
• Multipartite States under Elementary Local Operations
• Distillation of maximally correlated bosonic matter from many-body quantum coherence
• Multipartite entanglement classes of a multiport beam-splitter