This paper presents a hardware design leveraging quantum error correction (QEC) codes for enhanced fault tolerance in quantum computing. Current approaches to QEC primarily rely on software-based correction, limiting the practical implementation of robust quantum systems. This design proposes an architecture where QEC codes are directly integrated into the hardware circuit design, capitalizing on the inherent error-correcting capabilities of the codes themselves. The core mechanism involves encoding quantum information using specific QEC codes, performing logical operations, and then decoding the results to mitigate errors. This approach aims to significantly improve the accuracy and reliability of quantum computations by directly addressing errors at the hardware level. The design focuses on practical considerations for implementing QEC codes within a physical quantum system, exploring key challenges and potential solutions. This work contributes to the development of more reliable and scalable quantum computing platforms.
The introduction of quantum computing has presented algorithmic solutions to computationally difficult challenges that are far more efficient than those of classical computers. These algorithms leverage the properties of quantum mechanics to manipulate the quantum properties of subatomic particles, requiring immense precision and stability. Current quantum hardware, however, is too noisy and introduces too many errors for these algorithms to be useful in practice, necessitating the use of error correction algorithms. This field survey seeks to introduce various principles of quantum mechanics relevant to quantum computing and quantum error correction (QEC), detail the implementation and motivations of a basic QEC algorithm, and provide insight into the current research direction.
The topological quantum error correction (TQEC) scheme is promising for scalable and reliable quantum computing. A TQEC circuit can be modeled by a three-dimensional diagram, and the implementation resource of a TQEC circuit is abstracted to its space-time volume. Implementing a quantum algorithm with a reasonable physical qubit number and reasonable computation time is challenging for large-scale practical problems. Therefore, minimizing the space-time volume of a TQEC circuit becomes a crucial issue. Previous work shows that bridge compression can greatly compress TQEC circuits, but it was performed only manually. It is desirable to develop automated compression techniques for TQEC circuits to achieve low-overhead, large-scale quantum computations. In this paper, we present the first work that can automatically perform bridge compression on TQEC circuits. Compared with the state-of-the-art method, experimental results show that our proposed algorithm can averagely reduce space-time volumes by 83%.