Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state
Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state
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DOI：
10.22331/q-2022-07-20-769
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发表时间：
2021-12
期刊：
影响因子：
6.4
通讯作者：
M. Eaton;C. González-Arciniegas;R. N. Alexander;N. Menicucci;O. Pfister
中科院分区：
文献类型：
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作者：
M. Eaton;C. González-Arciniegas;R. N. Alexander;N. Menicucci;O. Pfister
我们提出了一种算法，从高斯连续变量团簇态中可靠地产生对量子纠错和通用连续变量量子计算至关重要的各种量子态，如薛定谔猫态和Gottesman-Kitaev-Preskill(GKP)格子态。我们的算法基于光子计数辅助的节点隐形传态方法(PhANTM)，该方法使用标准的高斯信息处理团簇状态，只增加了局部光子数分辨测量。我们证明了PhANTM可以应用多项式门和在簇内嵌入CAT态。这种方法使CAT状态不受高斯噪声的影响，并使集群内的非高斯性永久化。我们证明了现有的用于培育猫状态的协议可以使用PhANTM嵌入到集群状态处理中。
We present an algorithm to reliably generate various quantum states critical to quantum error correction and universal continuous-variable (CV) quantum computing, such as Schrödinger cat states and Gottesman-Kitaev-Preskill (GKP) grid states, out of Gaussian CV cluster states. Our algorithm is based on the Photon-counting-Assisted Node-Teleportation Method (PhANTM), which uses standard Gaussian information processing on the cluster state with the only addition of local photon-number-resolving measurements. We show that PhANTM can apply polynomial gates and embed cat states within the cluster. This method stabilizes cat states against Gaussian noise and perpetuates non-Gaussianity within the cluster. We show that existing protocols for breeding cat states can be embedded into cluster state processing using PhANTM.