Using Quantum Computers for Quantum Simulation

Details Using Quantum Computers for Quantum Simulation Using Quantum Computers for Quantum Simulation

2010-04-30

arxiv.org/abs/1004.5528v3

Entropy 2010, 12(11), 2268-2307

Physics

Quantum Physics

43 pages, 136 references, review article, v2 major revisions in response to referee comments, v3 significant revisions, identi

Scientific paper

10.3390/e12112268

Numerical simulation of quantum systems is crucial to further our understanding of natural phenomena. Many systems of key interest and importance, in areas such as superconducting materials and quantum chemistry, are thought to be described by models which we cannot solve with sufficient accuracy, neither analytically nor numerically with classical computers. Using a quantum computer to simulate such quantum systems has been viewed as a key application of quantum computation from the very beginning of the field in the 1980s. Moreover, useful results beyond the reach of classical computation are expected to be accessible with fewer than a hundred qubits, making quantum simulation potentially one of the earliest practical applications of quantum computers. In this paper we survey the theoretical and experimental development of quantum simulation using quantum computers, from the first ideas to the intense research efforts currently underway.

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