9 citations · 20 across the 7 of their papers we have counts for
4 papers · 1 filter
Criteria and new classes of k-positive maps
Jinchuan Hou, Chi-Kwong Li, Yiu-Tung Poon +2
We study k-positive maps on operators. Proofs are given to different positivity criteria. Special attention is on positive maps arising in the study of quantum information science.…
Spectrum nonincreasing maps on matrices
Gregor Dolinar, Jinchuan Hou, Bojan Kuzma +1
Maps which do not increase the spectrum on complex matrices in a sense that $\Sp(Φ(A)-Φ(B))\subseteq\Sp(A-B)$ are classified.
Linear maps preserving separability of pure states
Jinchuan Hou, Xiaofei Qi
Linear maps preserving pure states of a quantum system of any dimension are characterized. This is then used to establish a structure theorem for linear maps that preserve separabl…
A geometric characterization of invertible quantum measurement maps
Kan He, Jin-Chuan Hou, Chi-Kwong Li
A geometric characterization is given for invertible quantum measurement maps. Denote by the convex set of all states (i.e., trace-1 positive operators) on Hilber…