论文标题

用于通过准稳定性采样的局部通道模拟非本地通道的开销

Overhead for simulating a non-local channel with local channels by quasiprobability sampling

论文作者

Mitarai, Kosuke, Fujii, Keisuke

论文摘要

作为用于量子计算进步的硬件技术,其可能的应用程序被积极搜索和开发。但是,此类应用仍然遭受量子设备上的噪声,特别是当使用富裕性相对较低的两个Quibit大门时。克服这一困难的一种方法是用当地的运营代替这种非本地操作。可以通过将非本地通道分解为局部通道的线性组合并使用基于准生产的方法模拟原始通道来执行此类替代。在这项工作中,我们首先定义了一个数量,我们称之为非局部性的通道鲁棒性,这量化了分解成本。虽然该数量对于一般的非本地通道来说是具有挑战性的,但我们通过提供明确的分解为一般的两Q Quibit统一通道提供了上限。分解是通过概括我们先前的工作,其应用仅限于某种形式的两分不数单一的工作。这项工作为减少资源的框架开发了适合第一代量子设备的框架。

As the hardware technology for quantum computing advances, its possible applications are actively searched and developed. However, such applications still suffer from the noise on quantum devices, in particular when using two-qubit gates whose fidelity is relatively low. One way to overcome this difficulty is to substitute such non-local operations by local ones. Such substitution can be performed by decomposing a non-local channel into a linear combination of local channels and simulating the original channel with a quasiprobability-based method. In this work, we first define a quantity that we call channel robustness of non-locality, which quantifies the cost for the decomposition. While this quantity is challenging to calculate for a general non-local channel, we give an upper bound for a general two-qubit unitary channel by providing an explicit decomposition. The decomposition is obtained by generalizing our previous work whose application has been restricted to a certain form of two-qubit unitary. This work develops a framework for a resource reduction suitable for first-generation quantum devices.

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