Collective neutrino oscillations on a quantum computer
Collective neutrino oscillations on a quantum computer
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DOI：
10.1007/s11128-021-03348-x
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发表时间：
2021-04
影响因子：
2.5
通讯作者：
Kubra Yeter-Aydeniz;Shikha Bangar;G. Siopsis;Raphael C. Pooser
中科院分区：
文献类型：
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作者：
Kubra Yeter-Aydeniz;Shikha Bangar;G. Siopsis;Raphael C. Pooser
我们使用量子Lanczos（QLanczos）算法在IBM Q量子计算机硬件上实现的中微子源进行集体振荡的有效耦合强度和径向距离的函数的中微子系统的能级计算。我们的计算基于Patwardhan等人（Phys Rev D 99，https：//doi.org/10.1103/PhysRevD.99.123013，2019）中引入的多体中微子相互作用哈密顿量。我们表明，系统哈密顿量可以被分成更小的块，可以使用比将整个系统表示为一个单元所需的更少的量子位来表示，从而降低了量子硬件实现中的噪声。我们还计算了集体中微子振荡的跃迁几率使用Trotterization方法，这是在随后的硬件实现之前简化。这些计算表明，集体中微子系统的能量本征值和集体中微子振荡都可以在量子硬件上进行计算，只要作一定的简化，就能与精确结果很好地吻合。
We calculate the energy levels of a system of neutrinos undergoing collective oscillations as functions of an effective coupling strength and radial distance from the neutrino source using the quantum Lanczos (QLanczos) algorithm implemented on IBM Q quantum computer hardware. Our calculations are based on the many-body neutrino interaction Hamiltonian introduced in Patwardhan et al. (Phys Rev D 99, https://doi.org/10.1103/PhysRevD.99.123013, 2019). We show that the system Hamiltonian can be separated into smaller blocks, which can be represented using fewer qubits than those needed to represent the entire system as one unit, thus reducing the noise in the implementation on quantum hardware. We also calculate transition probabilities of collective neutrino oscillations using a Trotterization method which is simplified before subsequent implementation on hardware. These calculations demonstrate that energy eigenvalues of a collective neutrino system and collective neutrino oscillations can both be computed on quantum hardware with certain simplification to within good agreement with exact results.