论文标题
驱动绝热量子模拟的时间分辨断层扫描
Time-resolved tomography of a driven adiabatic quantum simulation
论文作者
论文摘要
量子模拟的一个典型目标是找到给定的哈密顿量的能量水平和本征态。可以通过绝热地改变系统控制参数来将初始本征态转移到目标汉密尔顿目标的特征状态来实现这一点。通过直接在两个超导码头的旋转框架中直接实现可控且平稳的变化的哈密顿量，包括纵向和横向场以及ISWAP型的两倍相互作用，证明了这种绝热量子模拟。使用时间分辨状态断层扫描跟踪每个本征态的演变。选择瞬时特征状态之间的能量差距，以便根据能量转换速率在测量的能量和相关因子中观察到能量转变速率。有限的$ t_1 $和$ t_2 $乘以量子的Qubits所获得的能量值中的错误会通过外推到简短的协议时间来减轻。
A typical goal of a quantum simulation is to find the energy levels and eigenstates of a given Hamiltonian. This can be realized by adiabatically varying the system control parameters to steer an initial eigenstate into the eigenstate of the target Hamiltonian. Such an adiabatic quantum simulation is demonstrated by directly implementing a controllable and smoothly varying Hamiltonian in the rotating frame of two superconducting qubits, including longitudinal and transverse fields and iSWAP-type two-qubit interactions. The evolution of each eigenstate is tracked using time-resolved state tomography. The energy gaps between instantaneous eigenstates are chosen such that depending on the energy transition rate either diabatic or adiabatic passages are observed in the measured energies and correlators. Errors in the obtained energy values induced by finite $T_1$ and $T_2$ times of the qubits are mitigated by extrapolation to short protocol times.
