Relative Lifetimes of Quantum Information Encoded in Various Quantum Memories*

We study the correlation of the structure of quantum information with physical noise models of a variety of possible quantum memory implementations, such as superconducting 2D qubits and 3D Superconducting Radio Frequency(SRF) cavities. Through numerical simulation of various noise models and approximate analytical formulas applied to a variety of interesting quantum states with different structures, we provide comparisons of quantum hardware including both qubit and qudit-based quantum memories. Our findings point to simple, experimentally relevant formulas for the relative lifetimes of quantum information in different quantum memories and have relevance to the design of hybrid quantum devices including superconducting cavities.