Universal quantum Hamiltonians
Universal quantum Hamiltonians
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DOI：
10.1073/pnas.1804949115
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发表时间：
2018-09-18
影响因子：
11.1
通讯作者：
Piddock, Stephen
中科院分区：
文献类型：
--
作者：
Cubitt, Toby S.;Montanaro, Ashley;Piddock, Stephen
量子多体系统表现出非常不同的相和物理现象。然而，我们证明了任何量子多体系统的整个物理都可以通过某些简单的、“普遍的”自旋晶格模型来复制。我们首先准确地描述一个量子系统模拟另一个量子系统的整个物理意味着什么。然后，我们对所有两个量子比特相互作用的模拟能力进行了完全分类，从而证明了某些简单的模型可以模拟所有其他模型，因此具有普适性。我们的结果为模拟哈密顿模拟的实际领域奠定了严格的基础，并向证明为什么量子信息技术的这种应用可能不需要纠错迈出了一步。
Quantum many-body systems exhibit an extremely diverse range of phases and physical phenomena. However, we prove that the entire physics of any quantum many-body system can be replicated by certain simple, "universal" spin-lattice models. We first characterize precisely what it means for one quantum system to simulate the entire physics of another. We then fully classify the simulation power of all two-qubit interactions, thereby proving that certain simple models can simulate all others, and hence are universal. Our results put the practical field of analogue Hamiltonian simulation on a rigorous footing and take a step toward justifying why error correction may not be required for this application of quantum information technology.