Systems and methods for magnetic shielding for a superconducting computing system

A magnetic shielding system for use with a superconducting computing system, the magnetic shielding system comprising:

• a first and a second shield cap, each shield cap having a thickness that varies in along at least a portion of a lateral direction, a magnetic permeability that varies along at least a portion of the lateral direction, and an opening shaped to accommodate electrical wiring;
• a first shield having an inner volume bound by an inner surface of the first shield, the first shield cap, and the second shield cap;
• a superconducting shield that is at least partially enclosed in the inner volume of the first shield;
• wherein
• the first shield has a magnetic permeability and a thickness that both vary along an axial direction;
• the first shield cap is detachably joined to a first end of the first shield;
• and
• the second shield cap is detachably joined to a second end of the first shield, the second end positioned opposite to the first end.