人们在介绍 矩阵乘积态(Matrix product state, MPS)的时候,一般会说: “波函数是一系列矩阵的乘积,ok,这就是 MPS。” 但这样直接的数学构造并不能让一个 tasteful 的物理学家满意。 本文提供一份更物理的推导。 (0) Underlying virtual state 记一个一维格点系统的量子态为 |ψ⟩, 我们的出发点是一个问题...
一般1D的model通常顶多考虑到次次近邻相互作用项，也就是说∑iAiAi+N中N=3的情形，实际上遇到N更大...
We introduce a coarse-graining procedure based on matrix product operators to define a hybrid variational ansatz combining ideas of matrix product states (MPS), Wilson's numerical renormalization group and entanglement renormalization. As a primary application, we show how the infinite quantum transfer ...
1) matrix product state 矩阵积态2) Matrix Product States 矩阵乘积态3) dynamic matrix proportion integration control 动态矩阵比例积分控制 1. A new superheated steam temperature control system is derived by combining the dynamic matrix proportion integration control arithmetic with the cascade control ...
i.e., the first n qubits are in a product state with the rest of the system. Those first $n$ qubits are ancilla qubits and they are guaranteed to be in the (normalized version of) phi_initial. Here, n is the logarithm of the bond dimension (rounded up), n = log(chi) Currently...
Here, we show instead that simulating the high-photon number limit is possible by mapping the propagation problem onto the dynamics of a one-dimensional (1D) open “spin” model, which can be solved using the powerful matrix product state (MPS) ansatz31, 32. The essence of the spin model...
We show that the nonredundant parameterization of the matrix product state (MPS) tangent space [J. Haegeman, J. I. Cirac, T. J. Osborne, I. Pižorn, H. Verschelde, and F. Verstraete, Phys. Rev. Lett. 107, 070601 (2011)] leads to the Thouless theorem for MPS, i.e., an ...
Ground state energy of a bilinear-biquadratic Hamiltonian from dmrgpy import spinchain ns = 6 # number of sites in the spin chain spins = ["S=1" for i in range(ns)] # S=1 chain sc = spinchain.Spin_Chain(spins) # create spin chain object h = 0 # initialize Hamiltonian Si = [...
Since the input u(t)∈Δ2m and the state x(t)∈Δ2n, the semi-tensor product u(t)⋉x(t) representing the combination of the input and the state and belongs to the set Δ2n+m. Hence, the state x(t+1) can be determined by taking the column of the matrix L according to u(...
We propose a correlation function of the two Majorana operators as a long range order parameter to describe non-trivial topological state with edge MZMs and calculate the long range correlation function explicitly. We then study Kitaev model with nearst neighboring repulsion interaction in open ...