2005/07/14 by A. Chalastaras, Chalastaras, A., L. Kaplan +8
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0507138
20 pages, 1 figure
arxiv created 2005/07/14 · openalex publication_date 2005/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The behavior of simply pulsed qubits (quantum systems with two linearly independent states) may be characterized by the energy difference ΔE between the two states of the qubit and by an external stimulating potential V(t) that causes transitions between them. Thus, the operation of such quantum mechanical systems may be categorized in various regions that explicitly depend on ΔE and V(t). Limiting cases of degenerate, perturbative, and adiabatic regions are discussed. A comprehensive and illustrative map for simply pulsed qubits is presented that can be used as a visual tool for students. Furthermore, analytic solutions may be obtained when the interaction V(t) is proportional to δ(t-tk), namely when a fast interaction, called a kick, is used.