9 citations · 19 across the 9 of their papers we have counts for
9 papers
State/observable interactions using basic geometric algebra solutions of the Maxwell equation
Alexander Soiguine
Maxwell equation in geometric algebra formalism with equally weighted basic solutions is subjected to continuously acting Clifford translation. The received states, operators actin…
The geometric algebra lift of qubits via basic solutions of Maxwell equation
Alexander Soiguine
Conventional quantum mechanical qubits can be lifted to states as even three dimensional geometric algebra operators that act on observables. The operators may be implemented via t…
Quantum Computing with Variable Complex Plane. Light Beam Guide Implementation
Alexander Soiguine
Following the B. Hiley belief that unresolved problems of conventional quantum mechanics could be the result of a wrong mathematical structure, an alternative basic structure is su…
Anyons in three dimensions with geometric algebra
Alexander Soiguine
Even though it has been almost a century since quantum mechanics planted roots, the field has its share of unresolved problems. It could be the result of a wrong mathematical struc…
Geometric phase in the G3+ quantum state evolution
Alexander Soiguine
When quantum mechanical qubits as elements of two dimensional complex Hilbert space are generalized to elements of even subalgebra of geometric algebra over three dimensional Eucli…
Quantum state evolution in C2 and G3+
Alexander M. Soiguine
It was shown that quantum mechanical qubit states as elements of two dimensional complex space can be generalized to elements of even subalgebra of geometric (Clifford) algebra ove…