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We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
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...
由高能所举办的第二届“高能物理与量子计算”研讨会于2023年3月31日在中国高等科学技术中心(CCAST)召开。中科大、本源量子、北京量子信息科学研究院、北京大学、中科院物理所、山东大学、曲靖师范学院等单位的30多位代表参加会议,他们分别来自中国量子计算机软硬件研发、高能物理探测器设计、数据分析和高能物理理论研究等领域。
2023年3月17日,由北京大学物理学院主办的北京大学格致论坛(第十四讲)在北京大学思源多功能厅成功举办。
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...

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