Journal
MOLECULAR PHYSICS
Volume 110, Issue 15-16, Pages 1675-1680Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00268976.2012.668289
Keywords
quantum algorithm; quantum computing; linear systems
Funding
- NSF Center for Quantum Information and Computation for Chemistry [CHE-1037992]
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Recently, it has been demonstrated that quantum computers can be used for solving linear systems of algebraic equations with exponential speedup compared with classical computers. Here, we present an efficient and generic quantum circuit design for implementing the algorithm for solving linear systems. In particular, we show the detailed construction of a quantum circuit which solves a 4 x 4 linear system with seven qubits. It consists of only the basic quantum gates that can be realized with present physical devices, implying great possibility for experimental implementation. Furthermore, the performance of the circuit is numerically simulated and its ability to solve the intended linear system is verified.
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