Quantum circuit design for solving linear systems of equations

Yudong Cao, Birck Nanotechnology Center, Purdue University
Anmer Daskin, Purdue University
Steven Frankel, Purdue University
Sabre Kais, Birck Nanotechnology Center, Purdue University

Date of this Version



An International Journal at the Interface Between Chemistry and Physics Volume 110, 2012 - Issue 15-16: Scaling Mount Impossible: A Festschrift for Dudley Herschbach


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.