Tolerance for Inaccurate Information in Quantum Computing
Kuldeep Singh Kaswan, Jagjit Singh Dhatterwal, Anupam Baliyan, Shalli Rani · 2023
This chapter describes an approach to quantum processing that is both error correcting and fault tolerant. Quantum computing in the traditional equivalent circuit and other paradigms of communication both include other ways to achieve resilient quantum computation. The chapter explains how to make the Steane seven-qubit code robust with correction approaches to demonstrate fault-tolerant quantum error correction. Fault-tolerant approaches include safeguards to prevent a single fault from spreading to numerous qubits, as Steane's algorithm cannot rectify multiple errors. Code that repeatedly replaces circuits with bigger and more resilient ones is concatenation. The chapter analyzes concatenation levels to illustrate the increasing potential for exponential precision growth when more resources (qubits and gates) are made available. Concatenation may be used to create an arbitrarily low probability of failure by concatenating bigger and more resilient circuits. Concatenated coding has the advantage of using just polynomial resources to achieve rapid results with a low failure probability.