vix.ing · top · new · best · stats

Nonlocal advantage of quantum coherence in high-dimensional states

2018/04/30 by Ming-Liang Hu, Ming‐Liang Hu, Heng Fan · 79 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Coherence (philosophical gambling strategy) #Computer science #Discrete mathematics #Graph #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum state #Qubit #Statistical physics #Theoretical physics #quant-ph

paper · pdf · doi:10.1103/physreva.98.022312

published in Physical Review A 98(2) (American Physical Society) · 5 pages, 2 figures; Final version to be published in Phys. Rev. A

arxiv created 2018/08/01 · openalex publication_date 2018/08/10 · arxiv updated 2018/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By local measurements on party A of a system AB and classical communication between its two parties, one can achieve a nonlocal advantage of quantum coherence (NAQC) on party B. For the l1 norm of coherence and the relative entropy of coherence, we generalized the framework of NAQC for two qubits and derived the criteria which capture NAQC in the (d\ifmmode×\else\texttimes\fid)-dimensional states when d is a power of a prime. We also presented a framework for formulating NAQC and showed through explicit examples its capacity for capturing the NAQC states. Moreover, we proved that any bipartite state with NAQC is quantum entangled; thus the obtained criteria can also be used as an entanglement witness.

Citations

Cited by