  It is shown that superconducting charge and phase qubits are quantum versions
of memory capacitive and inductive systems, respectively. We demonstrate that
such quantum memcapacitive and meminductive devices offer remarkable and rich
response functionalities. In particular, when subjected to periodic input,
qubit-based memcapacitors and meminductors exhibit unusual hysteresis curves.
Our work not only extends the set of known memcapacitive and meminductive
systems to qubit-based quantum devices but also highlights their unique
properties potentially useful for future technological applications.
