Low-density parity-check representation of fault-tolerant quantum circuits

Understand

In fault-tolerant quantum computing, quantum algorithms are implemented through quantum circuits capable of error correction.

• These circuits are typically constructed based on specific quantum error correction codes, with consideration given to the characteristics of the underlying physical platforms.
• Optimising these circuits within the constraints of today's quantum computing technologies, particularly in terms of error rates, qubit counts, and network topologies, holds substantial implications for the feasibility of quantum applications in the near future.
• This paper presents a toolkit for designing and analysing fault-tolerant quantum circuits.