Rojkov Ivan, Röggla Paul Moser, Wagener Martin, Fontboté-Schmidt Moritz, Welte Stephan, Home Jonathan, Reiter Florentin
Institute for Quantum Electronics, <a href="https://ror.org/05a28rw58">ETH Zürich</a>, Otto-Stern-Weg 1, 8093 Zürich, Switzerland and Quantum Center, <a href="https://ror.org/05a28rw58">ETH Zürich</a>, 8093 Zürich, Switzerland.
Phys Rev Lett. 2024 Sep 6;133(10):100601. doi: 10.1103/PhysRevLett.133.100601.
We present techniques for performing two-qubit gates on Gottesman-Kitaev-Preskill (GKP) codes with finite energy, and find that operations designed for ideal infinite-energy codes create undesired entanglement when applied to physically realistic states. We demonstrate that this can be mitigated using recently developed local error-correction protocols, and evaluate the resulting performance. We also propose energy-conserving finite-energy gate implementations which largely avoid the need for further correction.
我们展示了在具有有限能量的戈特斯曼 - 基塔耶夫 - 普雷斯基尔（GKP）码上执行双量子比特门的技术，并发现为理想的无限能量码设计的操作在应用于物理上现实的状态时会产生不需要的纠缠。我们证明，使用最近开发的局部纠错协议可以减轻这种情况，并评估由此产生的性能。我们还提出了节能的有限能量门实现方式，这在很大程度上避免了进一步纠错的需要。
