Vectorization of quantum operations and its use

2009/11/13 by Alexei Gilchrist, Gilchrist, Alexei, Daniel R. Terno +3 · 3 citations
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)

paper · pdf · doi:10.48550/arxiv.0911.2539

openalex publication_date 2009/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a detailed exposition of the "vectorized" notation for dealing with quantum operations. This notation is used to highlight the relationships between representations of completely-positive dynamics. Vectorization considerably simplifies the analysis of different methods of quantum process tomography, and enables us to derive compact representation of the investigated quantum operations in terms of the resulting data.

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• Reconstructing Quantum States and Expectations via Dynamical Tomography
• Direct probing of the simulation complexity of open quantum many-body dynamics
• Enhancing Decoding Performance using Efficient Error Learning

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