论文标题

关于雷利褪色通道的量子增强的LDPC解码

On Quantum-Enhanced LDPC Decoding for Rayleigh Fading Channels

论文作者

Majumder, Utso, Sarma, Aditya Das, Vaidya, Vishnu, Chandra, M Girish

论文摘要

量子和古典计算机继续进行紧密合作以解决困难问题。因此,对于下一代无线通信系统的低密度平价检查(LDPC)代码,该组合近期是为了解码低密度平价检查(LDPC)。在本文中,我们为雷利褪色通道的两种不同情况下的二次无约束二进制优化(QUBO)制定:通道状态完全已知且不知道。最终的Qubo使用D-WAVE 2000Q量子退火器解决,并经过经典的后处理,从而调用了多样性的概念。与在位错误率(BER)方面选择最小能源解决方案相比,简单的最小距离解码导致性能提高,从而提高了性能。除了提供这些结果以及对完全经典的模拟退火(SA)和基于传统的信念传播(BP)策略的比较之外,还阐明了有关量子处理引起的多样性的一些评论。

Quantum and Classical computers continue to work together in tight cooperation to solve difficult problems. The combination is thus suggested in recent times for decoding the Low Density Parity Check (LDPC) codes, for the next generation Wireless Communication systems. In this paper we have worked out the Quadratic Unconstrained Binary Optimization (QUBO) formulation for Rayleigh Fading channels for two different scenarios: channel state fully known and not known. The resultant QUBO are solved using D-Wave 2000Q Quantum Annealer and the outputs from the Annealer are classically postprocessed, invoking the notion of diversity. Simple minimum distance decoding of the available copies of the outputs led to improved performance, compared to picking the minimum-energy solution in terms of Bit Error Rate (BER). Apart from providing these results and the comparisons to fully classical Simulated Annealing (SA) and the traditional Belief Propagation (BP) based strategies, some remarks about diversity due to quantum processing are also spelt out.

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