Coherence measure of ensembles with nonlocality without entanglement
arXiv:2112.04430 · doi:10.1016/j.physleta.2025.130760
Abstract
Irreversibility between preparation and discrimination processes is manifested in the indistinguishability of orthogonal product states via local operations and classical communication (LOCC). Characterizing quantum properties for sets of states according to their local distinguishing property is one of the avenues to explain the surprising results obtained in the LOCC indistinguishability domain. We propose a measure based on the norm of coherence to quantitatively assess the quantumness of ensembles composed of orthogonal product states. Furthermore, to establish a hierarchy among different product ensembles, we establish a relationship between the coherence-based measure of an ensemble and the optimal success probability of distinguishing states within the ensemble using LOCC, constrained by a limited amount of classical communication and projective measurements, in the framework of minimum error state discrimination.
arXiv comment10 pages, 3 figures. Substantial modifications in the manuscript. Close to the version to be appeared in Phys. Lett. A
References in corpus (46)
- Quantum entanglement
- Introducing Quantum Discord
- Quantifying Coherence
- Classical, quantum and total correlations
- Quantum Coherence as a Resource
- Separability criterion and inseparable mixed states with positive partial transposition
- Quantum Nonlocality without Entanglement
- Measuring Quantum Coherence with Entanglement
- Unextendible Product Bases and Bound Entanglement
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Local Distinguishability of Multipartite Orthogonal Quantum States
- Local versus non-local information in quantum information theory: formalism and phenomena
- Quantum State Discrimination
- Unextendible Product Bases, Uncompletable Product Bases and Bound Entanglement
- Relating the Resource Theories of Entanglement and Quantum Coherence
- Duality of Quantum Coherence and Path Distinguishability
- Quantum discord and its allies: a review
- Relations between coherence and path information
- Coherence depletion in the Grover quantum search algorithm
- Optimal local discrimination of two multipartite pure states
- Distinguishing Bipartitite Orthogonal States using LOCC: Best and Worst Cases
- Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding
- Information as a resource in distributed quantum systems
- Strong Quantum Nonlocality without Entanglement
- Entanglement and coherence in quantum state merging
- Nonlocality of orthogonal product basis quantum states
- Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
- Distinguishability of complete and unextendible product bases
- Local indistinguishability of orthogonal product states
- Interferometric visibility and coherence
- Nonlocal variables with product states eigenstates
- Set coherence: basis-independent quantification of quantum coherence
- State discrimination with error margin and its locality
- Demonstrating quantum coherence and metrology that is resilient to transversal noise
- Coherence requirements for quantum communication from hybrid circuit dynamics
- Locally accessible information: How much can the parties gain by cooperating?
- Coherence orders, decoherence and quantum metrology
- A Quantitative Measure of Interference
- Difficulty of distinguishing product states locally
- Distillation protocols: Output entanglement and local mutual information
- Contrast in Multipath Interference and Quantum Coherence
- Quantification of quantum correlation of ensemble of states
- Distillation Protocols that Involve Local Distinguishing: Composing Upper and Lower Bounds on Locally Accessible Information
- Unambiguous discrimination of special sets of multipartite states using local measurements and classical communication
- All entangled states are quantum coherent with locally distinguishable bases
- Quantum metrology and coherence