1 citations · 2 across the 7 of their papers we have counts for
8 papers
Reply to Comment on 'Product states and Schmidt rank of mutually unbiased bases in dimension six'
Mengfan Liang, Lin Chen
Daniel McNulty et.al (2024 J. Phys. A: Math. Theor. submitted) voiced suspicions to the Lemma 11(v) Part 6 in Chen and Yu (2017 J. Phys. A: Math. Theor. 50 475304) and three theore…
Order-six CHMs containing exactly three distinct elements
Yanzu Huang, Mengfan Liang, Lin Chen
Complex Hadamard matrices (CHMs) are intimately related to the number of distinct matrix elements. We investigate CHMs containing exactly three distinct elements, which is also the…
Eigenvalues and eigenvectors of complex Hadamard matrices
Mengfan Liang, Lin Chen
Characterizing the complex Hadamard matrices (CHMs) is an open problem in linear algebra and quantum information. In this paper, we investigate the eigenvalues and eige…
Entanglement distillation in terms of Schmidt rank and matrix rank
Tianyi Ding, Lin Chen
Entanglement distillation is a key task in quantum-information processing. In this paper, we distill non-positive-partial-transpose (NPT) bipartite states of some given Schmidt ran…
Multiqubit entanglement due to quantum gravity
Shaomin Liu, Lin Chen, Mengfan Liang
Quantum gravity between masses can produce entangled states in thought experiments. We extend the experiments to tripartite case and construct states equivalent to Greenberger- Hor…
-reducible matrices in six-dimensional mutually unbiased bases
Xiaoyu Chen, Mengfan Liang, Mengyao Hu +1
Finding four six-dimensional mutually unbiased bases (MUBs) containing the identity matrix is a long-standing open problem in quantum information. We show that if they exist, then…
Some special complex Hadamard matrices of order six
Mengfan Liang, Lin Chen, Fengyue Long +1
The complete classification of complex Hadamard matrices (CHMs) is a long-standing open problem. In this paper we investigate a series of CHMs, such as the CHMs contain…
Real Entries of Complex Hadamard Matrices and Mutually Unbiased Bases in Dimension Six
Mengfan Liang, Mengyao Hu, Yize Sun +1
We investigate the number of real entries of an complex Hadamard matrix (CHM). We analytically derive the numbers when . In particular, the number can be any…