Magic Mirror on the Wall, How to Benchmark Quantum Error Correction Codes, Overall ?

Quantum Error Correction Codes (QECCs) are fundamental to the advancement of quantum computing, safeguarding quantum states from the detrimental impact of noise and errors. The right choice of QECC, tailored to specific scenarios influenced by noise levels and qubit constraints, is as vital as the technological advancements themselves. This paper introduces a novel and comprehensive methodology for benchmarking QECCs, featuring a set of universal parameters. Utilizing eight distinguished QECCs, we propose a suite of eight parameters for a thorough analysis. Our work not only establishes a universal benchmarking methodology but also underscores the nuanced balance inherent in quantum error correction. The paper highlights that there is no one-size-fits-all solution; the selection of a QECC is contingent upon the specific constraints and circumstances of each case.