| Residential College | false |
| Status | 已發表Published |
| A note on a conjecture from distillability of quantum entanglement | |
Sio Weng Kun; CHENG CHE MAN RAYMOND 
| |
| 2025-02 | |
| Source Publication | Linear Algebra and Its Applications
 |
| ISSN | 0024-3795 |
| Volume | 707Pages:152-161 |
| Abstract | A conjecture from the distillability of quantum entanglement is that when A and B are 4-by-4 trace zero complex matrices and $\|A\|^2+\|B\|^2=1/4$ (where $\|\cdot\|$ is the Frobenius norm), the sum of squares of the largest two singular values of $A\otimes I_4+I_4\otimes B$ does not exceed 1/2. In this paper, the conjecture is proved when (i) A or B is unitarily similar to a direct sum of 2-by2 trace zero matrices; (ii) A and B are unitarily similar to matrices, when partitioned into 2-by-2 blocks, having zero diagonal blocks. |
| Keyword | Distillability Of Quantum Entanglement Matrix Inequality Singular Value |
| DOI | j.laa.2024.11.012 |
| Indexed By | SCIE |
| Language | 英語English |
| WOS Subject | Mathematics |
| Publisher | Elsevier |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | CHENG CHE MAN RAYMOND |
| Affiliation | Department of Mathematics, University of Macau |
| First Author Affilication | University of Macau |
| Corresponding Author Affilication | University of Macau |
| Recommended Citation GB/T 7714 | Sio Weng Kun,CHENG CHE MAN RAYMOND. A note on a conjecture from distillability of quantum entanglement[J]. Linear Algebra and Its Applications, 2025, 707, 152-161. |
| APA | Sio Weng Kun., & CHENG CHE MAN RAYMOND (2025). A note on a conjecture from distillability of quantum entanglement. Linear Algebra and Its Applications, 707, 152-161. |
| MLA | Sio Weng Kun,et al."A note on a conjecture from distillability of quantum entanglement".Linear Algebra and Its Applications 707(2025):152-161. |
| Files in This Item: | Download All | |||||
| File Name/Size | Publications | Version | Access | License | ||
| first page.pdf（147KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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