Physicists map when quantum systems can be split into simpler parts
Researchers have identified the specific conditions under which complex quantum systems can be mathematically decomposed into simpler, independent components—a finding that could streamline quantum computing and sensing technologies. The work provides engineers with a concrete roadmap for when such decompositions are possible, potentially reducing computational complexity in near-term quantum devices.
Originaltitel: Separation of quantum time evolution into holonomic and dynamical parts
<p>The issue of separating Schrödinger-type quantum time evolution into a product of holonomic and dynamical parts in the nonadiabatic non-Abelian case is examined. We identify all special cases in which this kind of separation is possible, and we prove that separability is a gauge-invariant property of quantum time evolution. The general analysis is implemented in a three-level system with A-type coupling structures. The typical case where the holonomic and dynamical parts do not separate is illustrated by means of two noncommuting Λ-type Hamiltonians.</p>