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I will report my recent joint work with Jacek Jendrej on muti-solitons to the Klein-Gordon equations including their asymptotic stability and classification.
Quantum error correction theory lies at the heart of universal quantum computing. So far, people do not find or realize good-enough error correction codes yet. In this talk, I will survey the foundati...
In this talk, we introduce a modified classical algorithm to solve linear systems in a model that resembles the QRAM used by quantum linear solvers. Specifically, we demonstrate that for the linear sy...
We consider the combined mean-field and semiclassical limit for a system of the N fermions interacting through singular potentials. We prove the uniformly in the Planck constant h propagation of quant...
In this talk we review some recent results on the multi-bubble blow-ups and multi-solitons to the focusing stochastic nonlinear Schr鰀inger equations. We will show the corresponding construction and co...
In this talk we review some recent results on the multi-bubble blow-ups and multi-solitons to the focusing stochastic nonlinear Schr鰀inger equations. We will show the corresponding construction and co...
Efficient verification of quantum states and gates is crucial to the development of quantum technologies. Although the sample complexities of quantum state verification and quantum gate verification h...
In this talk, we shall present a series of inequalities for quantum symmetries such as Hausdorff-Young inequalities, Young's inequalities, uncertainty principles, sumset estimation and entropic inequa...
我们讨论一个特殊双正交(biorthogonal)系综的整体和局部极限行为。这个双正交系综源自对一维量子输运问题的研究,对应一维量子输运的Dorokhov-Mello-Pereyra-Kummar(DMPK)方程的diffusive regime 的近似解。我们从Riemann-Hilbert 问题的角度考虑这个双正交系综。
量子态的层析是量子信息里面的一个重要和热点问题. 这个报告介绍量子态层析在各种测量模型下需要的资源数目,包括 (1) 任意测量;(2) 独立测量;(3) 泡利测量. 还报告重叠量子态的层析问题及紧的界。
There is a big gap between the so-called NISQ (noisy intermediate-scale quantum) and FTQ (fault-tolerant quantum) computing. Recently, we introduced QEQ (quasi-exact quantum) computing, which lies in ...
We study the nonrelativistic limit of the cubic Klein-Gordon equations. We show the cubic Klein-Gordon equation converges to the cubic Schr\"odinger equation with a convergence rate of order $\epsilon...
Coherence distillation is a basic information-theoretic task in the resource theory of coherence. In this talk, I will report the framework of the approximate coherence distillation under strictly inc...
量子精密测量是利用量子纠缠、相干等资源设计更精确参数测量方案的科学。量子精密测量可以使传感器精度超越传统极限,在引力波探测、原子钟校准、空间定位等一系列任务上取得突破,并为量子计算中的校准和噪声估计提供支持。为了在近期(10年内)量子设备上实现最优精密测量,需要一系列理论基础的支持。在报告中,将介绍我们在最优量子精密测量方向的最新成果:关于如何在量子技术有限制的情形下,确定量子精密测量任务的最大精...
We establish the quantum Perron-Frobenius theorem on quantum symmtries. We characterize the structure of the Perron-Frobenius eigenvector space using quantum Fourier analysis (in the sense of picture ...

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