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Quantum entanglement and nonlocality are foundational to quantum technologies, driving quantum computation, communication, and cryptography innovations. To benchmark the capabilities of these quantum techniques, efficient detection and accurate quant
Externí odkaz:
http://arxiv.org/abs/2412.00795
Publikováno v:
J. Math. Phys. 65, 112201 (2024)
In 2003, DiVincenzo {\it et al}. put forward the question that whether there exists an unextendible product basis (UPB) which is an uncompletable product basis (UCPB) in every bipartition [\href{https://link.springer.com/article/10.1007/s00220-003-08
Externí odkaz:
http://arxiv.org/abs/2411.18036
A pure multipartite quantum state is called absolutely maximally entangled if all reductions of no more than half of the parties are maximally mixed. However, an $n$-qubit absolutely maximally entangled state only exists when $n$ equals $2$, $3$, $5$
Externí odkaz:
http://arxiv.org/abs/2411.12208
Quantum nonlocality based on state discrimination describes the global property of the set of orthogonal states and has a wide range of applications in quantum cryptographic protocols. Strongest nonlocality is the strongest form of quantum nonlocalit
Externí odkaz:
http://arxiv.org/abs/2408.02894
Autor:
Jin, Rui, Li, Derun, Xiang, Dehui, Zhang, Lei, Zhou, Hailing, Shi, Fei, Zhu, Weifang, Cai, Jing, Peng, Tao, Chen, Xinjian
Prostate cancer represents a major threat to health. Early detection is vital in reducing the mortality rate among prostate cancer patients. One approach involves using multi-modality (CT, MRI, US, etc.) computer-aided diagnosis (CAD) systems for the
Externí odkaz:
http://arxiv.org/abs/2407.06612
Quantum weight enumerators play a crucial role in quantum error-correcting codes and multipartite entanglement. They can be used to investigate the existence of quantum error-correcting codes and $k$-uniform states. In this work, we build the connect
Externí odkaz:
http://arxiv.org/abs/2406.18280
Multipartite entanglement is a valuable resource for quantum technologies. However, detecting this resource can be challenging: for genuine multipartite entanglement, the detection may require global measurements that are hard to implement experiment
Externí odkaz:
http://arxiv.org/abs/2401.03367
Do $N$-partite $k$-uniform states always exist when $k\leq \lfloor\frac{N}{2}\rfloor-1$? In this work, we provide new upper bounds for the parameter $k$ of $k$-uniform states in $(\mathbb{C}^{d})^{\otimes N}$ when $d=3,4,5$, which extend Rains' bound
Externí odkaz:
http://arxiv.org/abs/2310.06378
Unextendible product bases (UPBs) play a key role in the study of quantum entanglement and nonlocality. A famous open question is whether there exist genuinely unextendible product bases (GUPBs), namely multipartite product bases that are unextendibl
Externí odkaz:
http://arxiv.org/abs/2303.02553
Publikováno v:
Gongye shui chuli, Vol 44, Iss 5, Pp 101-110 (2024)
Metal organic frameworks(MOFs),as non-homogeneous Fenton oxidation catalysts,are difficult to be utilized multiple times and prone to secondary pollution in the treatment of printing and dyeing wastewater. To solve this problem, metal organic framewo
Externí odkaz:
https://doaj.org/article/1a9c2dc9a74e4c38862ed3e5ff85b36f