Quantum Phase Estimation Construct the quantum circuit to estimate the eigenphase (or phase) of a given eigenvector of a unitary operator Example Notebook Out[1]= PacletObject Name:Wolfram/QuantumFramework Version:1.0.32 In[3]:= ...
1 相位估计电路 Phase estimation circuit 2将TIM量子电路分解为容错门 Decomposition of the TIM quantum circuit into fault-tolerant gates ■ 3 将TIM电路映射到QLA架构 Mapping the TIM circuit onto the QLA architecture 1 一维TIM问题的资源估计 Resource estimates for the 1-D TIM problem ■■10 基于隐形...
The next step is to exponentiate the covariance matrixCX, so that we can use the Quantum Phase Estimation (QPE) subroutine for finding the eigenvectors and eigenvalues. It has been shown that the exponentiation of the covariance matrix, i.e.,e−iCXt, can be performed inO(logN)time9. ...
As a motivating example, consider the Hamiltonian H = XX + YY + ZZ. This Hamiltonian can be simulated, up to a global phase, by (4) This can be implemented using two Toffoli gates and a single qubit rotation. In contrast, the standard approach from53,62 would use three...
The memory register where the approximate phase value is stored consists of n qubits, which makes it possible to determine the phase accurate to 2n with the probability greater than 8/蟺2. By way of example, computations for the case of the quantum phase shift operator are performed. The ...
Consider a display-update activity; the behind-the-scenes processing requirement has increased due, for example, to higher-resolution displays and more complex windowing user-interface libraries. This means that a display update requires more CPU cycles in modern systems than in simpler, earlier ...
Thus a model system is realized to investigate, for example, the reconstruction of quantum information after transmission through a noisy quantum channel (Section VI.A). Transfer of quantum states becomes important when quantum information is distributed between different quantum processors, as is ...
Basic Example: The command below runs the compiler with default options on the Binary Welded Tree algorithm, with n=100 and s=100 as problem sizes. The default compiler option is to generate resource estimations (number of qubits and gates). ...
b Same energy difference shown as a function of maximal phase at k = 2, 4, 7. In both panels the blue shaded area corresponds to the chemically precise estimate. Full size image Applications: Bose-Hubbard simulator Finally, to provide an example where quantum inverse iteration algorithm ...
Initial state preparation can be as simple or as complex as the state that one desires to begin the simulation in. Since the focus of this paper is outperforming mean-field calculations, we will discuss the cost of preparing Slater determinants within first quantization. For example, one may wi...