Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision

SIAM JOURNAL ON COMPUTING, pp. 1920.0-1950.0, 2017.

Cited by: 197|Views22
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Abstract:

Harrow, Hassidim, and Lloyd showed that for a suitably specified N N matri A and N-dimensional vector (b) over right arrow , there is a quantum algorithm that outputs a quantum state proportional to the solution of the linear system of equations A<()over right arrow> = (b) over right arrow . If A is sparse and well-conditioned, their algo...More

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