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首页> 外文期刊>Photonics Journal, IEEE >On the Photonic Implementation of Universal Quantum Gates, Bell States Preparation Circuit, Quantum Relay and Quantum LDPC Encoders and Decoders
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On the Photonic Implementation of Universal Quantum Gates, Bell States Preparation Circuit, Quantum Relay and Quantum LDPC Encoders and Decoders

机译：关于通用量子门，钟形准备电路，量子继电器和量子LDPC编码器和解码器的光子实现

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摘要

We show that any family of universal quantum gates can be implemented based on a single optical hybrid/Mach-Zehnder interferometer (MZI)/directional coupler (DC) and either a highly nonlinear optical fiber or a tap coupler with an avalanche photodiode. We further show how to implement Pauli gates, which are needed in quantum error correction, using the same technology. The use of Bell states in quantum teleportation is essential. We also show how to implement the Bell states preparation circuit. To extend the transmission distance of quantum teleportation systems, the use of quantum relays is necessary. We show how to implement the quantum relay in integrated optics as well. We further study the implementation of encoders/decoders for sparse-graph quantum codes and show that the encoder/decoder for arbitrary quantum sparse-graph code can be implemented in integrated optics as well. We also study the performance of sparse-graph codes and demonstrate that entanglement-assisted sparse-graph codes from balanced incomplete block designs significantly outperform the corresponding dual-containing quantum codes. Finally, we provide several theorems that can be used in the design of entanglement-assisted (EA) quantum codes that require only one qubit to be shared between the source and the destination.
机译：我们展示了可以基于单个光学混合/ Mach-Zehnder干涉仪（MZI）/定向耦合器（DC）和高度非线性的光纤或带有雪崩光电二极管的抽头耦合器来实现任何通用量子门系列。我们还将展示如何使用相同的技术来实现量子纠错所需的Pauli门。在量子隐形传态中使用贝尔状态至关重要。我们还将展示如何实现贝尔状态准备电路。为了延长量子隐形传态系统的传输距离，必须使用量子中继。我们还将展示如何在集成光学系统中实现量子继电器。我们进一步研究了稀疏图量子代码的编码器/解码器的实现，并表明，任意量子稀疏图代码的编码器/解码器也可以在集成光学器件中实现。我们还研究了稀疏图代码的性能，并证明了来自平衡不完整块设计的纠缠辅助稀疏图代码显着优于相应的含双量子码。最后，我们提供了几个定理，可用于设计纠缠辅助（EA）量子代码，它们仅需在源与目标之间共享一个量子位。

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