Journal
ENTROPY
Volume 24, Issue 3, Pages -Publisher
MDPI
DOI: 10.3390/e24030373
Keywords
maximally entangled states; mutually unbiased bases; unextendible maximally entangled basis
Categories
Funding
- Key Research and Development Project of Guangdong Province [2020B0303300001]
- Guangdong Basic and Applied Basic Research Foundation [2020B1515310016]
- Zhoukou Normal University, China, High Level Talents Research Start Funding Project [ZKNUC2020005]
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This paper presents a new method for constructing maximally entangled states and provides examples in specific scenarios. It is of great importance in the field of related research.
In this paper, we present a new method for the construction of maximally entangled states in C-d circle times C-d' when d' >= 2d. A systematic way of constructing a set of maximally entangled bases (MEBs) in C-d circle times C-d' was established. Both cases when d' is divisible by d and not divisible by d are discussed. We give two examples of maximally entangled bases in C-2 circle times C-4, which are mutually unbiased bases. Finally, we found a new example of an unextendible maximally entangled basis (UMEB) in C-2 circle times C-5.
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