منابع مشابه
A note on Clifford parallelisms in characteristic two
It is well known that a purely inseparable field extension L/F with some extra property and degree [L : F] = 4 determines a Clifford parallelism on the set of lines of the three-dimensional projective space over F. By extending the ground field of this space from F to L, we establish the following geometric description of such a parallelism in terms of a distinguished ‘absolute pencil of lines’...
متن کاملSemi-Clifford and Generalized Semi-Clifford Operations
Fault-tolerant quantum computation is a basic problem in quantum computation, and teleportation is one of the main techniques in this theory. Using teleportation on stabilizer codes, the most well-known quantum codes, Pauli gates and Clifford operators can be applied fault-tolerantly. Indeed, this technique can be generalized for an extended set of gates, the so called Ck hierarchy gates, intro...
متن کاملGeneralized multidimensional Hilbert transforms in Clifford analysis
During the last fifty years, Clifford analysis has gradually developed to a comprehensive theory offering a direct, elegant, and powerful generalization to higher dimension of the theory of holomorphic functions in the complex plane. In its most simple but still useful setting, flat m-dimensional Euclidean space, Clifford analysis focusses on the so-called monogenic functions, that is, null sol...
متن کاملHyperbolic Polynomials and Generalized Clifford Algebras
We consider the problem of realizing hyperbolicity cones as spectrahedra, i.e. as linear slices of cones of positive semidefinite matrices. The generalized Lax conjecture states that this is always possible. We use generalized Clifford algebras for a new approach to the problem. Our main result is that if −1 is not a sum of hermitian squares in the Clifford algebra of a hyperbolic polynomial, t...
متن کاملC[subscript 3], semi-clifford and generalized semi-clifford operations Citation
Fault-tolerant quantum computation is a basic problem in quantum computation, and teleportation is one of the main techniques in this theory. Using teleportation on stabilizer codes, the most well-known quantum codes, Pauli gates and Clifford operators can be applied fault-tolerantly. Indeed, this technique can be generalized for an extended set of gates, the so called Ck hierarchy gates, intro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial
سال: 2010
ISSN: 2640-7345,2640-7337
DOI: 10.2140/iig.2010.11.197