Starting from the Quantum-Phase-Estimate (QPE) algorithm, a method is proposed to construct entangled states that describe correlated many-body systems on quantum computers. Using operators for which the discrete set of eigenvalues is known, the QPE approach is followed by measurements that serve as projectors on the entangled states. These states can then be used as inputs for further quantum or hybrid quantum-classical processing. When the operator is associated to a symmetry of the Hamiltonian, the approach can be seen as a quantum–computer formulation of symmetry breaking followed by symmetry restoration. The method, called Discrete Spectra Assisted (DSA), is applied to superfluid systems. By using the blocking technique adapted to qubits, the full spectra of a pairing Hamiltonian is obtained.

中文翻译：

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对称辅助量子计算机上纠缠多体态的制备

从量子相位估计（QPE）算法开始，提出了一种构造纠缠态的方法，该纠缠态描述了量子计算机上相关的多体系统。使用已知特征值离散集的算子，在QPE方法之后进行作为纠缠态投影仪的测量。这些状态然后可以用作进一步的量子或混合量子经典处理的输入。当算子与哈密顿量的对称性相关时，该方法可以看作是对称打破的量子计算机公式，然后再进行对称性恢复。该方法称为离散光谱辅助（DSA），应用于超流体系统。通过使用适合于量子位的分块技术，可以获得配对哈密顿量的全光谱。