论文标题
GHz多量系统的GHz状态的反馈指数稳定
Feedback exponential stabilization of GHZ states of multi-qubit systems
论文作者
论文摘要
在本文中，我们考虑了描述与经过连续时间测量的电磁场相互作用的多Qubit系统演变的随机主方程。 By considering multiple z-type (Pauli z matrix on different qubits) and x-type (Pauli x matrix on all qubits) measurements and one control Hamiltonian, we provide general conditions on the feedback controller and the control Hamiltonian ensuring almost sure exponential convergence to a predetermined Greenberger-Horne-Zeilinger (GHZ) state, which is assumed to be a common eigenstate of the测量操作员。我们提供满足此类条件的反馈控制器的明确表达。我们还考虑仅Z型测量值和多个控制的哈密顿量的情况，我们讨论了渐近的GHz状态的渐近收敛性。最后，我们通过数值模拟证明了我们方法对三粒系统的有效性。
In this paper, we consider stochastic master equations describing the evolution of a multi-qubit system interacting with electromagnetic fields undergoing continuous-time measurements. By considering multiple z-type (Pauli z matrix on different qubits) and x-type (Pauli x matrix on all qubits) measurements and one control Hamiltonian, we provide general conditions on the feedback controller and the control Hamiltonian ensuring almost sure exponential convergence to a predetermined Greenberger-Horne-Zeilinger (GHZ) state, which is assumed to be a common eigenstate of the measurement operators. We provide explicit expressions of feedback controllers satisfying such conditions. We also consider the case of only z-type measurements and multiple control Hamiltonians, and we discuss asymptotic convergence towards a predetermined GHZ state. Finally, we demonstrate the effectiveness of our methodology for a three-qubit system through numerical simulations.
