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Classical simulation of quantum algorithms using the tensor product representation

A. Kawaguchi·K. Shimizu·Y. Tokura·N. Imoto
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Abstract

Using the tensor product representation in the density matrix renormalization group, we show that a quantum circuit of Grover's algorithm, which has one-qubit unitary gates, generalized Toffoli gates, and projective measurements, can be efficiently simulated by a classical computer. It is possible to simulate quantum circuits with several ten qubits.

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A. Kawaguchi, K. Shimizu, Y. Tokura, N. Imoto. 2005-05-23. Classical simulation of quantum algorithms using the tensor product representation. https://arxiv.org/abs/quant-ph/0411205

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