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Recently there has been a great deal of interest in the power of ``Quantum Computers''. The driving force is the recent beautiful result of Shor that shows that discrete log and factoring are solvable...
On the linear forms of the Schrodinger equation
Schrodinger equation linear forms Quantum Physics
2011/10/9
Abstract: Generalizing the linearisation procedure used by Dirac and later by L\'evy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting fr...
Higher-order Fourier analysis of $\mathbb{F}_p^n$ and the complexity of systems of linear forms
Higher-order Fourier analysis linear forms
2010/11/24
Consider a subset $A$ of $\mathbb{F}_p^n$ and a decomposition of its indicator function as the sum of two bounded functions $1_A=f_1+f_2$. For every family of linear forms, we find the smallest degre...