7 citations · 13 across the 10 of their papers we have counts for
10 papers
A partial-trace matrix inequality and Werner-state distillability
Zhiwei Song, Lin Chen
Motivated by the equivalent partial-trace formulations of Werner-state distillability [P. Costa Rico, Lett. Math. Phys. 115, 47 (2025); S.-Y. Qi et al., Phys. Rev. A 110, 012406 (2…
A counterexample to the strong spin alignment conjecture
Zhiwei Song, Lin Chen
The spin alignment conjecture was originally formulated in connection with the additivity of coherent information for a class of quantum channels known as platypus channels. Recent…
Extreme points of absolutely PPT states with exactly three distinct eigenvalues
Nalan Wang, Lin Chen, Zhiwei Song
Whether the sets of absolutely separable (AS) and absolutely two-qutrit positive-partial-transpose (AP) states are the same has been an open problem in entanglement theory for deca…
Spectral characterizations of entanglement witnesses
Zhiwei Song, Lin Chen
We present a systematic investigation of the spectral properties of entanglement witnesses (EWs). Specifically, we analyze the infimum and supremum of the largest eigenvalue, the s…
Multipartite entangling power by von Neumann entropy
Xinyu Qiu, Zhiwei Song, Lin Chen
Quantifying the entanglement generation of a multipartite unitary operation is a key problem in quantum information processing. We introduce the definition of multipartite entangli…
On the extreme points of sets of absolulely separable and PPT states
Zhiwei Song, Lin Chen
The absolutely separable (resp. PPT) states remain separable (resp. positive partial transpose) under any global unitary operation. We present a compact form of the extreme points…
Mutually-orthogonal unitary and orthogonal matrices
Zhiwei Song, Lin Chen, Saiqi Liu
We introduce the concept of n-OU and n-OO matrix sets, a collection of n mutually-orthogonal unitary and real orthogonal matrices under Hilbert-Schmidt inner product. We give a det…
The existence of distinguishable bases in three-dimensional subspaces of qutrit-qudit systems under one-way local operations and classical communication
Zhiwei Song, Lin Chen, Dragomir Z. Djokovic
We show that every three-dimensional subspace of qutrit-qudit complex or real systems has a distinguishable basis under one-way local operations and classical communication (LOCC).…
A complete picture of the four-party linear inequalities in terms of the 0-entropy
Zhiwei Song, Lin Chen, Yize Sun +1
Multipartite quantum system is complex. Characterizing the relations among the three bipartite reduced density operators , and of a tripartite state $ρ_{A…
Constructing three-qubit unitary gates in terms of Schmidt rank and CNOT gates
Zhiwei Song, Lin Chen, Mengyao Hu
It is known that every two-qubit unitary operation has Schmidt rank one, two or four, and the construction of three-qubit unitary gates in terms of Schmidt rank remains an open pro…