Mathematicians map hidden structure in quantum equations used for computing
Researchers have classified all possible mathematical transformations that preserve a fundamental class of quantum equations, revealing the equations belong to a special category called "semi-normalized." The finding could help quantum computing engineers design more efficient algorithms and simplify complex system modeling.
Originaltitel: Equivalence groupoid for (1+2)-dimensional linear Schrodinger equations with complex potentials
<p>We describe admissible point transformations in the class of (1+2)-dimensional linear Schrodinger equations with complex potentials. We prove that any point transformation connecting two equations from this class is the composition of a linear superposition transformation of the corresponding initial equation and an equivalence transformation of the class. This shows that the class under study is semi-normalized.</p>