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Tatsuki Odake

As seen in: Physical Review B
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Articles

Universal algorithm for transforming Hamiltonian eigenvalues

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By Tatsuki Odake, Hlér Kristjánsson, Operations Research
| Physical Review B
It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties.
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Higher-order quantum transformations of Hamiltonian dynamics

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By Hlér Kristjánsson, Akihito Soeda, Mio Murao, Tatsuki Odake
| Physical Review B
We present a quantum algorithm to achieve higher-order transformations of Hamiltonian dynamics. Namely, the algorithm takes as input a finite number of queries to a black-box seed Hamiltonian dynamics to simulate a desired Hamiltonian. Our algorithm efficiently simulates linear transformations of any seed Hamiltonian with a bounded energy range consisting of a polynomial number of terms in system size, making use of only controlled-Pauli gates and time-correlated randomness.
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