Optimal polynomial based quantum eigenstate filtering with application to solving quantum linear systems

We present a quantum eigenstate filtering algorithm based on quantum signal processing (QSP) and minimax polynomials. The algorithm allows us to efficiently prepare a target eigenstate of a given Hamiltonian, if we have access to an initial state with non-trivial overlap with the target eigenstate a...

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Bibliographic Details
Main Authors: Lin Lin, Yu Tong
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-11-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-11-11-361/pdf/