  One of the most correlated quantum phenomena achievable is superconductivity.
In superconductivity pairs of electrons condense, in a manner analogous to
Bose-Einstein condensation, into the same quantum state with their subsequent
entanglement permitting frictionless conductivity. Quantum computers have the
potential to predict complex, entangled quantum states at non-exponential cost,
unlike their classical counterparts, with possible applications to hard
problems from physics to economics. Here, using pairs of qubits to represent
the electron pairs, we create superconductivity on a transmon-qubit quantum
computer. A series of maximally entangled superconducting states with different
numbers of electron pairs is prepared, and then the occupation of the
superconducting state is measured by tomography. Each occupation on the order
of the number of electrons $O(N)$ confirms the formation of a maximally
entangled superconducting state. Moreover, the large eigenvalue provides
experimental validation of C. N. Yang's derivation of large occupation being
associated with off-diagonal long-range order. The work provides a critically
important step in predicting strongly entangled quantum physics as well as
mathematically related non-local phenomena in the pure and social sciences on
quantum computers.
