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基于Clifford采样的可扩展量子线路误差估算(图)
Clifford采样 量子线路 误差 估算
2021/8/4
2021年2月,浙江大学物理学系超导量子计算研究团队联合中国工程物理研究院李颖教授,提出并实验验证了一种基于Clifford采样的量子线路错误标定法,该方法不会受到误差时空关联的干扰,并且资源消耗仅随量子线路规模呈线性增长,具有很高的可扩展性。相关成果发表于2021年的Physical Review Letters(物理评论快报)上。
Clifford 代数在广义相对论、量子力学、量子场论、射影几何、微分几何、共形几何等诸多方面有着广泛的应用。由于 Clifford 自身的特点,使其和射影几何的联系不多,之前还没有建立起完善的理论用以使用 Clifford 代数处理射影几何问题。
当代人类学家之一:Clifford Geertz
当代 人类学家 Clifford Geertz
2013/7/4
Clifford Geertz was born in San Francisco, California on August 23, 1926. After service in the U.S. Navy in World War II (1943–45), Geertz received his B.A. in Philosophy from Antioch College in Yello...
研究了Clifford分析中Isotonic函数向量的一类带位移、带共轭的线性边值问题.通过设计积分算子将边值问题转化为积分方程,借助积分方程理论和不动点原理证明了问题解的存在性,并给出解的积分表达式.
Rational cubic fourfolds containing a plane with nontrivial Clifford invariant
Rational cubic fourfolds nontrivial Clifford invariant Algebraic Geometry
2012/5/9
We isolate a general class of smooth rational cubic fourfolds containing a plane whose associated quadric surface bundle does not have a rational section. Equivalently, the Brauer class of the even Cl...
We investigate two seemingly disjoint definitions of helicity, one commonly used in particle physics, the other one used when studying bilinear covariants of Clifford algebras. We can prove that the `...
Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras
regular algebra Clifford algebra skew Clifford algebra twist by an automorphism
2012/4/17
We prove that if $A$ is a regular graded skew Clifford algebra and is a twist of a regular graded Clifford algebra $B$ by an automorphism, then the subalgebra of $A$ generated by a certain normalizing...
利用积分方程的方法和Schauder不动点原理研究Clifford分析中k超正则函数带位移的非线性边值问题, 证明了解的存在性和唯一性, 并得到了解的积分表达式.
Cayley-Dickson and Clifford Algebras as Twisted Group Algebras
twisted group algebra sign function Cayley-Dickson algebra Clifford algebra quaternions octonions
2011/8/26
Abstract: The effect of some properties of twisted groups on the associated algebras, particularly Cayley-Dickson and Clifford algebras. It is conjectured that the Hilbert space of square-summable seq...
Pfaffian quartic surfaces and representations of Clifford algebras
Pfaffian quartic surfaces representations of Clifford algebras Algebraic Geometry Rings and Algebras
2011/8/29
Abstract: Given a nondegenerate ternary form $f=f(x_1,x_2,x_3)$ of degree 4 over an algebraically closed field of characteristic zero, we use the geometry of K3 surfaces and van den Bergh's correspond...
On representations of Clifford algebras of ternary cubic forms
Clifford algebras ternary cubic forms Algebraic Geometry
2011/8/29
Abstract: In this article, we provide an overview of a one-to-one correspondence between representations of the generalized Clifford algebra $C_f$ of a ternary cubic form $f$ and certain vector bundle...
Initial value problems in Clifford-type analysis
Initial value problem associated operators Clifford type algebra depending on parameters
2011/7/28
Initial value problems in Clifford-type analysis.
Abstract: Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particula...
Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particular, in now ...
An Investigation on the Basic Conceptual Foundations of Quantum Mechanics by Using the Clifford Algebra
Clifford algebra, foundations of quantum mechanics, wave function collapse,quantum mechanics and conceptual entities, von Neumann postulates on quantum measurement
2011/9/2
We review our approach to quantum mechanics adding also some new interesting results. We start by giving proof of two important theorems ms on the existence of the A(Si) and i,±1 N Clifford algebras. ...