Hamiltonian Simulation by Qubitization

Hamiltonian Simulation by Qubitization

We present the problem of approximating the time-evolution operator e-iHt to error ϵ, where the Hamiltonian H = ((G|⊗I)U (|Gi⊗I) is the projection of a unitary oracle U onto the state |Gi created by another unitary oracle. Our algorithm solves this with a query complexity O ( t + log(1/ϵ) ) to both...

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Bibliographic Details
Main Authors: Low, Guang Hao (Author), Chuang, Isaac L. (Author)
Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor), Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor), Massachusetts Institute of Technology. Research Laboratory of Electronics (Contributor)
Format: Article
Language:English
Published: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, 2021-02-18T18:26:07Z.
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