Adiabatic Theorem for Discrete Time Evolution

Abstract

A proof of the adiabatic theorem for quantum systems whose time evolution proceeds along discrete time, e.g., quantum maps and quantum circuits, is shown.

2pages; typos corrected; v3 added "NOTE ADDED" on an earlier work

References in corpus (2)

• Adiabatic Quantum Computing for Random Satisfiability Problems
• Cyclic networks of quantum gates

Cited by in corpus (5)

• Quantized Adiabatic Transport in Momentum Space
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Landauer's Principle in Repeated Interaction Systems
• From Disordered Quantum Walk to Physics of Off-diagonal Disorder
• Bloch vector, disclination and exotic quantum holonomy