Quantum singular value transformation for an arbitrary bounded operator embedded in a unitary operator
Year: 2024
Type: preprint
Abstract: This research extends quantum singular value transformation (QSVT) for general bounded operators embedded in unitary operators on possibly infinite-dimensional Hilbert spaces. Through in-depth mathematical exploration, we have achieved a refined operator-theoretic understanding of QSVT, leading to a more streamlined approach. One of the key discoveries is that polynomial transformations in QSVT inherently apply to the entire operator, rather than being contingent on the selection of a specific basis. We expect that this research will pave the way for applying these insights to a broader range of problems in quantum information processing and provide analytical tools for quantum dynamics, such as quantum walks.
Source: arXiv (Cornell University)
Authors: Kiumi, Chusei, Suzuki, Akito
Institutions: The University of Osaka, Shinshu University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: 量子ウォークの局在化と漸近挙動の解析
OpenAlex ID: W4391013386