92 citations · 129 across the 12 of their papers we have counts for
12 papers
Hermitian manifolds with nonpositive holomorphic sectional curvature
Kai Tang
We study compact Kähler manifolds admitting Hermitian metrics with nonpositive holomorphic sectional curvature. We prove that the canonical bundle of such a manifold is nef, removi…
--Quasi-Negative Curvature and Positivity of the Canonical Bundle
Kyle Broder, Kai Tang
A recent theorem of Diverio--Trapani and Wu--Yau asserts that a compact Kähler manifold with a Kähler metric of quasi-negative holomorphic sectional curvature is projective and can…
Practical quantum simulation of small-scale non-Hermitian dynamics
Hongfeng Liu, Xiaodong Yang, Kai Tang +5
Non-Hermitian quantum systems have recently attracted considerable attention due to their exotic properties. Though many experimental realizations of non-Hermitian systems have bee…
Control-enhanced quantum metrology under Markovian noise
Yue Zhai, Xiaodong Yang, Kai Tang +5
Quantum metrology is supposed to significantly improve the precision of parameter estimation by utilizing suitable quantum resources. However, the predicted precision can be severe…
Entanglement-Enhanced Quantum Metrology in Colored Noise by Quantum Zeno Effect
Xinyue Long, Wan-Ting He, Na-Na Zhang +9
In open quantum systems, the precision of metrology inevitably suffers from the noise. {In Markovian open quantum dynamics, the precision can not be improved by using entangled pro…
Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
Zidong Lin, Lin Zhang, Xinyue Long +8
Noise is ubiquitous in real quantum systems, leading to non-Hermitian quantum dynamics, and may affect the fundamental states of matter. Here we report in experiment a quantum simu…
On Hermitian manifolds with vanishing curvature
Kyle Broder, Kai Tang
We show that Hermitian metrics with vanishing holomorphic curvature on compact complex manifolds with pseudoeffective canonical bundle are conformally balanced. Pluriclosed metrics…
On the weighted orthogonal Ricci curvature
Kyle Broder, Kai Tang
We introduce the weighted orthogonal Ricci curvature -- a two-parameter version of Ni--Zheng's orthogonal Ricci curvature. This curvature serves as a very natural object in the stu…
On almost nonpositive -Ricci curvature
Kai Tang
Motivated by the recent work of Chu-Lee-Tam on the nefness of canonical line bundle for compact Kähler manifolds with nonpositive -Ricci curvature, we consider a natural notion…
Experimental Realization of a Quantum Refrigerator Driven by Indefinite Causal Orders
Xinfang Nie, Xuanran Zhu, Keyi Huang +11
Indefinite causal order (ICO) is playing a key role in recent quantum technologies. Here, we experimentally study quantum thermodynamics driven by ICO on nuclear spins using the nu…
The -Bochner formulas for holomorphic mappings between Hermitian manifolds and their applications
Kai Tang
In this paper, we derive some -Bochner formulas for holomorphic maps between Hermitian manifolds. As applications, we prove some Schwarz lemma type est…
Positive curvature operator, projective manifold and rational connectedness
Kai Tang
In his recent work \cite{Y1}, X. Yang proved a conjecture raised by Yau in 1982 (\cite{Yau82}), which states that any compact Kähler manifold with positive holomorphic sectional cu…