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Time optimal control of coupled qubits under nonstationary interactions

2005/02/28 by Haidong Yuan, Navin Khaneja · 2 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Algorithm #Bilinear interpolation #Characterization (materials science) #Class (philosophy) #Combinatorics #Computer science #Condensed matter physics #Control (management) #Control theory (sociology) #Coupling (piping) #Electron Spin Resonance Studies #Materials science #Mathematics #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum mechanics #Qubit #Set (abstract data type) #Spin (aerodynamics) #Spins #State (computer science) #Tensor (intrinsic definition) #Topology (electrical circuits) #Unitary state #quant-ph

paper · pdf · doi:10.1103/physreva.72.040301

published as PhysRevA.72.040301,2005. · 4 pages

openalex publication_date 2005/10/06 · arxiv created 2010/04/23 · arxiv updated 2010/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we give a characterization of all the unitary transformations that can be synthesized in a given time for a two-qubit system in the presence of general time varying coupling tensor. This characterization helps to compute the minimum time and the shortest pulse sequence for generating a general two-qubit transformation under nonstationary interactions. The methods presented here can be applied in design of time optimal pulse sequences for transferring coherence and polarization between coupled spins with time varying couplings as in solid-state NMR under magic angle spinning.

Citations

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