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quant-ph2026
On the saturated cases of the distillability conjecture
Saiqi Liu, Lin Chen
The distillability conjecture for two-copy four-by-four Werner states has been an open problem in quantum information for years. We investigate the conditions under which the conje…
quant-ph2024
On the distillablity conjecture in matrix theory
Saiqi Liu, Chen Lin
The distillability conjecture of two-copy 4 by 4 Werner states is one of the main open problems in quantum information. We prove two special cases of the conjecture. The first case…
quant-ph2023
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…