论文标题
可靠的核代码准备量子认证
Reliable Quantum Certification of Bosonic Code Preparations
论文作者
论文摘要
玻色症容忍量子计算需要对这些状态的高保真和可靠的量子认证等核代码状态等制备。尽管已经开发了许多关于准备这些状态的建议，但很少对如何可靠地证明这些实验状态进行调查。在本文中，我们开发了证明连续变化状态是否通过使用高斯测量结果检测证人来证明是否属于某个玻色量Qubit代码空间的方法。我们的结果可以应用于各种CAT代码的认证，包括两组分猫状态，四组分猫状态以及挤压的两组分猫状态以及Gottesman-Kitae-Kitaev-Preskill代码。然后，我们进一步应用方法来证明资源状态在可连续变化的通用容错测量的基于基于基于量子的量子计算的量子输出和瞬时量子多项式电路的量子输出中，这些电路可用于显示量子至上。我们方法的样本复杂性在模式数量方面是有效的，因此与量子状态层析成像相比，在多模式量子状态的认证中，大大降低了开销。
Bosonic fault tolerant quantum computing requires preparations of Bosonic code states like cat states and GKP states with high fidelity and reliable quantum certification of these states. Although many proposals on preparing these states have been developed, few investigation has been done on how to reliably certify these experimental states. In this paper, we develop approaches to certify whether a continuous-variable state falls inside a certain Bosonic qubit code space by detecting a witness using Gaussian measurements. Our results can be applied to certification of various cat codes including two-component cat states, four-component cat states, and squeezed two-component cat states as well as Gottesman-Kitaev-Preskill codes. Then we further apply our approach to certify resource states in continuous-variable universal fault tolerant measurement-based quantum computing and quantum outputs of instantaneous quantum polynomial circuits, which can be used to show quantum supremacy. The sample complexity of our approach is efficient in terms of number of modes, so significantly reducing overhead compared to quantum state tomography in certification of many-mode quantum states.
