Simulating Hamiltonian dynamics using many-qudit Hamiltonians and local unitary control
Simulating Hamiltonian dynamics using many-qudit Hamiltonians and local unitary control
复制标题
使用多量子哈密顿量和局部酉控制模拟哈密顿动力学
DOI：
10.1103/physreva.71.052312
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发表时间：
2004
影响因子：
2.9
通讯作者：
M. Nielsen
中科院分区：
文献类型：
--
作者：
M. Bremner;D. Bacon;M. Nielsen
什么时候可以用一个有限维的量子系统来模拟另一个有限维的量子系统？是什么限制了一个系统模拟另一个系统的能力？在本文中，我们完成了程序的研究可以做纠缠多qudit哈密顿和本地酉控制的模拟。通过纠缠，我们的意思是每个qudit都与其他qudit耦合，至少间接地耦合。我们证明，唯一一类有限维纠缠哈密顿量是不通用的模拟是量子位的纠缠哈密顿量的泡利算子展开只包含耦合奇数系统的条款，如布雷姆纳[物理。Rev. A 69，012313（2004）]。我们表明，在所有其他情况下纠缠多qudit哈密顿是普遍的模拟。
When can a quantum system of finite dimension be used to simulate another quantum system of finite dimension? What restricts the capacity of one system to simulate another? In this paper we complete the program of studying what simulations can be done with entangling many-qudit Hamiltonians and local unitary control. By entangling we mean that every qudit is coupled to every other qudit, at least indirectly. We demonstrate that the only class of finite-dimensional entangling Hamiltonians that are not universal for simulation is the class of entangling Hamiltonians on qubits whose Pauli operator expansion contains only terms coupling an odd number of systems, as identified by Bremner [Phys. Rev. A 69, 012313 (2004)]. We show that in all other cases entangling many-qudit Hamiltonians are universal for simulation.