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- W2327720696 abstract "A quantum algorithm is presented for the simulation of arbitrary Markovian dynamics of a qubit, described by a semigroup of single-qubit quantum channels ${{T}_{t}}$ specified by a generator $mathcal{L}$. This algorithm requires only single-qubit and controlled-not gates and approximates the channel ${T}_{t}={e}^{tmathcal{L}}$ up to the chosen accuracy $ensuremath{epsilon}$, with a slightly superlinear cost ${O((ensuremath{parallel}mathcal{L}ensuremath{parallel}}_{(1ensuremath{rightarrow}1)}t{)}^{1+1/2k}/{ensuremath{epsilon}}^{1/2k})$ for any integer $k$. Inspired by developments in Hamiltonian simulation, a decomposition and recombination technique is utilized which allows for the exploitation of recently developed methods for the approximation of arbitrary single-qubit channels. In particular, as a result of these methods the algorithm requires only a single ancilla qubit, the minimal possible dilation for a nonunitary single-qubit quantum channel." @default.
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- W2327720696 date "2014-08-27" @default.
- W2327720696 modified "2023-10-02" @default.
- W2327720696 title "Simulation of single-qubit open quantum systems" @default.
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- W2327720696 doi "https://doi.org/10.1103/physreva.90.022331" @default.
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