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arXiv · 2206.03712

Resource Reduction in Multiplexed High-Dimensional Quantum Reed-Solomon Codes

Shin Nishio·Nicolò Lo Piparo·Michael Hanks·William John Munro·Kae Nemoto
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Abstract

Quantum communication technologies will play an important role in quantum information processing in the near future as we network devices together. However, their implementation is still a challenging task due to both loss and gate errors. Quantum error correction codes are one important technique to address this issue. In particular, the Quantum Reed-Solomon codes are known to be quite efficient for quantum communication tasks. The high degree of physical resources required, however, makes such a code difficult to use in practice. A recent technique called quantum multiplexing has been shown to reduce resources by using multiple degrees of freedom of a photon. In this work, we propose a method to decompose multi-controlled gates using fewer $\rm{CX}$ gates via this quantum multiplexing technique. We show that our method can significantly reduce the required number of $\rm{CX}$ gates needed in the encoding circuits for the quantum Reed-Solomon code. Our approach is also applicable to many other quantum error correction codes and quantum algorithms, including Grovers and quantum walks.

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Shin Nishio, Nicolò Lo Piparo, Michael Hanks, William John Munro, Kae Nemoto. 2022-06-08. Resource Reduction in Multiplexed High-Dimensional Quantum Reed-Solomon Codes. https://doi.org/10.1103/physreva.107.032620

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