20 citations · 82 across the 25 of their papers we have counts for
26 papers
Stable maps of curves and algebraic equivalence of 1-cycles
János Kollár, Zhiyu Tian
We show that algebraic equivalence of images of stable maps of curves lifts to deformation equivalence of the stable maps. The main applications concern , the group of 1-cy…
Local-global principle and integral Tate conjecture for certain varieties
Zhiyu Tian
We give a geometric criterion to check the validity of the integral Tate conjecture for one-cycles on a smooth projective variety that is separably rationally connected in codimens…
Space of one cycles and coniveau filtrations
Zhiyu Tian
We prove a structural result about the space of one cycles of a separably rationally connected variety or a separably rationally connected fibration over a curve, either as a topol…
Experimental test of Tsirelson's bound with a single photonic qubit
Zhiyu Tian, Yuan-Yuan Zhao, Hao Wu +2
For many protocols, quantum strategies have advantages compared with their classical counter-partners, and these advantages have attracted many interests and applications. One of t…
Shannon Entropy and Diffusion Coeffcient in Parity-Time Symmetric Quantum Walks
Zhiyu Tian, Yang Liu, Le Luo
Non-Hermitian topological edge states have many intriguing properties, but have so far mainly been discussed in terms of bulk-boundary correspondence. Here we propose to use a bulk…
Zero cycles on rationally connected varieties over Laurent fields
Zhiyu Tian
We study zero cycles on rationally connected varieties defined over characteristic zero Laurent fields with algebraically closed residue fields. We show that the degree map induces…