Continuous-variable gate teleportation and bosonic-code error correction

Continuous-variable gate teleportation and bosonic-code error correction
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DOI:
10.1103/physreva.102.062411
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发表时间:
2020-08
期刊:
影响因子:
2.9
通讯作者:
Blayney W. Walshe;B. Baragiola;R. N. Alexander;N. Menicucci
Blayney W. Walshe;B. Baragiola;R. N. Alexander;N. Menicucci
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Blayney W. Walshe;B. Baragiola;R. N. Alexander;N. Menicucci

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我们研究连续变量门隐形传态使用纠缠态从纯产品通过分束器发送状态。我们表明,这样的状态是一个(典型的)非幺正门的Choi状态,我们推导出相关的Kraus算符的隐形传态,它可以用来实现非高斯,非幺正量子操作的输入状态。有了这个结果,我们展示了如何使用门隐形传态对使用Gottesman-Kitaev-Preskill码编码的玻色子量子比特进行纠错。这一结果是在确定性产生的宏节点集群状态的背景下,产生的恒定深度的线性光网络,补充了GKP状态的概率供应。我们的技术的结果是,状态注入门隐形传态和纠错可以实现没有主动压缩操作-量子光学实现的实验瓶颈。
We examine continuous-variable gate teleportation using entangled states made from pure product states sent through a beamsplitter. We show that such states are Choi states for a (typically) non-unitary gate, and we derive the associated Kraus operator for teleportation, which can be used to realize non-Gaussian, non-unitary quantum operations on an input state. With this result, we show how gate teleportation is used to perform error correction on bosonic qubits encoded using the Gottesman-Kitaev-Preskill code. This result is presented in the context of deterministically produced macronode cluster states, generated by constant-depth linear optical networks, supplemented with a probabilistic supply of GKP states. The upshot of our technique is that state injection for both gate teleportation and error correction can be achieved without active squeezing operations---an experimental bottleneck for quantum optical implementations.