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- W3105971113 endingPage "033040" @default.
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- W3105971113 abstract "The accurate evaluation of diagonal unitary operators is often the most resource-intensive element of quantum algorithms such as real-space quantum simulation and Grover search. Efficient circuits have been demonstrated in some cases but generally require ancilla registers, which can dominate the qubit resources. In this paper, we give a simple way to construct efficient circuits for diagonal unitaries without ancillas, using a correspondence between Walsh functions and a basis for diagonal operators. This correspondence reduces the problem of constructing the minimal-depth circuit within a given error tolerance, for an arbitrary diagonal unitary in the basis, to that of finding the minimal-length Walsh-series approximation to the function f(x). We apply this approach to the quantum simulation of the classical Eckart barrier problem of quantum chemistry, demonstrating that high-fidelity quantum simulations can be achieved with few qubits and low depth." @default.
- W3105971113 created "2020-11-23" @default.
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- W3105971113 date "2014-03-31" @default.
- W3105971113 modified "2023-10-16" @default.
- W3105971113 title "Efficient quantum circuits for diagonal unitaries without ancillas" @default.
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- W3105971113 doi "https://doi.org/10.1088/1367-2630/16/3/033040" @default.
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