pygae/clifford
Geometric Algebra for Python (⭐ 851)
Geometric Algebra for Python (⭐ 851)
Since the Kings are currently tanking what do y'all think Nique Clifford's role would be long term? He's currently getting massive minutes and a good amount of shots each game and is looking like a po...
SQL queries used for my webinar, Spatial SQL Isn't Scary (⭐ 9)
Multivector quantum mechanics utilizes wavefunctions which are Clifford aggregates (e.g. sum of scalar, vector, bivector). This is equivalent to multi- spinors constructed of Dirac matrices, with the representation independent form of the generator...
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We define the notions of trace, determinant and, more generally, Berezinian of matrices over a (Z_2)^n graded commutative associative algebra. The applications include a new approach to the classical theory of matrices with coefficients in a Clifford...
Hi guys, I have started a channel to explore different applications of Clifford/Geometric Algebra to math and physics, and I want to share it with you. This particular video is about solving systems ...
In this work, we investigate the average information scrambling and nonlocal magic generation properties of random Clifford encoding-decoding circuits perturbed by local noise. We quantify these with the bipartite algebraic out-of-time order correlat...
This paper investigates centralizers and twisted centralizers in degenerate and non-degenerate Clifford (geometric) algebras. We provide an explicit form of the centralizers and twisted centralizers of the subspaces of fixed grades, subspaces determi...
PhysioNet Cardiovascular Signal Toolbox (⭐ 129)
Let $κ$ be a commutative ring containing $2^{-1}$. In this paper, we prove the Comes-Kujawa's conjecture on a $κ$-basis of cyclotomic oriented Brauer-Clifford supercategory. As a by-product, we prove that the cyclotomic walled Brauer-Clifford super...
T. Kobayashi conjectured in the 36th Geometry Symposium in Japan (1989) that a homogeneous space G/H of reductive type does not admit a compact Clifford-Klein form if rank G - rank K < rank H - rank K_H. We solve this conjecture affirmatively. We app...
The use of bundle gerbes and bundle gerbe modules is considered as a replacement for the usual theory of Clifford modules on manifolds that fail to be spin. It is shown that both sides of the Atiyah-Singer index formula for coupled Dirac operators...
The Clifford hierarchy is a fundamental structure in quantum computation whose mathematical properties are not fully understood. In this work, we characterize permutation gates -- unitaries which permute the $2^n$ basis states -- in the third level o...
Maxwell Frank Clifford (6 April 1943 – 10 December 2017) was an English publicist and convicted sex offender who was particularly associated with promoting
largest cliff dwelling in North America. The structure built by the Ancestral Puebloans is located in Mesa Verde National Park in their former homeland
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Super Bitch (Italian: Si può essere più bastardi dell'ispettore Cliff?, lit. 'Can anyone be more of a bastard than Inspector Cliff?') is a 1973 Italian-British
Efficiently implementing Clifford circuits is crucial for quantum error correction and quantum algorithms. Linear reversible circuits, equivalent to circuits composed of CNOT gates, have important applications in classical computing. In this work we...
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