Complexity in One- and Two-Qubit Systems
arXiv:2010.15099
Abstract
We numerically analyze the complexity of unitary time-evolution and precursor operators in one- and two-qubit systems using the framework of Nielsen complexity geometry. We find that, as expected, the complexities of unitary time evolution operators grow linearly with time, at least initially, for both the one- and two-qubit cases. The precursor operators display switchback-effect-like behavior provided we choose our cost factors so that the resulting complexity geometry is negatively curved.
References in corpus (18)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Black holes and the butterfly effect
- Complexity Equals Action
- Bulk Locality and Quantum Error Correction in AdS/CFT
- Complexity and Shock Wave Geometries
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Complexity, action, and black holes
- Quantum Computation as Geometry
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Towards Complexity for Quantum Field Theory States
- Gravitational action with null boundaries
- The Second Law of Quantum Complexity
- Quantum Complexity and Negative Curvature
- Optimal control, geometry, and quantum computing
- Switchbacks and the Bridge to Nowhere
- The Complexity Geometry of a Single Qubit
- A geometric approach to quantum circuit lower bounds
- Quantum Control via Geometry: An explicit example