Interconversion between block coherence and multipartite entanglement in many-body systems

Abstract

Coherence is intrinsically related to projective measurement. When the fixed projective measurement involves higher-rank projectors, the coherence resource is referred to as block coherence, which comes from the superposition of orthogonal subspaces. Here, we establish a set of quantitative relations for the interconversion between block coherence and multipartite entanglement under the framework of the block-incoherent operations. It is found that the converted multipartite entanglement is upper bounded by the initial block coherence of single-party system. Moreover, the generated multipartite entanglement can be transferred to its subsystems and restored to block coherence of the initial single-party system by means of local block-incoherent operations and classical communication. In addition, when only the coarse-grained quantum operations are accessible for the ancillary subsystems, we further demonstrate that a lossless resource interconversion is still realizable, and give a concrete example in three four-level systems. Our results provide a versatile approach to utilize different quantum resources in a cyclic fashion.

References in corpus (54)

• Quantum entanglement
• Quantifying Coherence
• Quantifying Entanglement
• Scaling of Entanglement close to a Quantum Phase Transitions
• Quantum Coherence as a Resource
• The Role of Relative Entropy in Quantum Information Theory
• Measuring Quantum Coherence with Entanglement
• Unified View of Quantum and Classical Correlations
• Global entanglement in multiparticle systems
• Converting Coherence to Quantum Correlations
• Decoherence and multipartite entanglement
• Quantum coherence in multipartite systems
• An improved bound on distillable entanglement
• Quantum coherence and geometric quantum discord
• Separability and distillability of multiparticle quantum systems
• Relating the Resource Theories of Entanglement and Quantum Coherence
• Assisted distillation of quantum coherence
• Spin flips and quantum information for anti-parallel spins
• Converting Nonclassicality into Entanglement
• Genuine quantum correlations in quantum many-body systems: a review of recent progress
• General monogamy relation for the entanglement of formation in multiqubit systems
• Quantifying Superposition
• Multipartite Entanglement Signature of Quantum Phase Transitions
• Measuring Coherence with Entanglement Concurrence
• Entanglement cost of mixed states
• Operational one-to-one mapping between coherence and entanglement measures
• Multipartite entanglement measures
• Multipartite entanglement detection from correlation tensors
• Witnessing genuine multipartite entanglement with positive maps
• Towards resource theory of coherence in distributed scenarios
• Resource theory of coherence based on positive-operator-valued measures
• Scaling of genuine multiparticle entanglement at a quantum phase transition
• Entanglement monogamy and entanglement evolution in multipartite systems
• Experimental cyclic inter-conversion between Coherence and Quantum Correlations
• Operator monotones, the reduction criterion and the relative entropy
• Axiomatic and operational connections between the $l_1$-norm of coherence and negativity
• Experimentally Obtaining Maximal Coherence Via Assisted Distillation Pro cess
• Coherence, Quantum Fisher Information, Superradiance and Entanglement are Interconvertible Resources
• Optimal measurements for relative quantum information
• Quantifying coherence with respect to general quantum measurements
• Coherence measures with respect to general quantum measurements
• Experimentally accessible lower bounds for genuine multipartite entanglement and coherence measures
• Activation of entanglement from quantum coherence and superposition
• Converting quantum coherence to genuine multipartite entanglement and nonlocality
• Witnessing quantum resource conversion within deterministic quantum computation using one pure superconducting qubit
• Resource theory of quantum coherence with probabilistically non-distinguishable pointers and corresponding wave-particle duality
• Generalized coherence vector applied to coherence transformations and quantifiers
• Resource conversion between operational coherence and multipartite entanglement in many-body systems
• Converting coherence based on positive-operator-valued measures into entanglement
• Secure alignment of coordinate systems by using quantum correlation
• The block-coherence measures and the coherence measures based on positive-operator-valued measures
• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain
• The power of a shared singlet state, compared with a shared reference frame
• Quantum coherence between subspaces: State transformation, Cohering Power, $k$-coherence and other properties