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C, is the supremum (over all algorithms for arranging qubits to achieve interactions) of the average rate of 2-qubit gates performed for an infinitely deep random quantum circuit, averaged over the ensemble of all infinitely deep random quantum circuits. Single qubit gates have been omitted from the definition of the random quantum circuit, as it is assumed that these can be performed at any vertex, and therefore they do not contribute to the additional overhead introduced by the finite degree, as do the 2-qubit gates. A random quantum circuit, is generated by sequentially sampling random pairs of qubits which are to interact ‘next’ (note that, even though the circuit has been generated sequentially, parallelisation can occur when disjoint pairs are successively sampled). Additionally, only full-width quantum circuits are considered, i.e., all qubits are logical qubits used in the random algorithm. As quantum computers move from theory to reality, it is becoming apparent that the envisaged physical limitations on the connectivity of the component qubits in near-term quantum computers presents a significant challenge to the efficient implementation of quantum algorithms. This paper addresses the most relevant scenario for near-term machines in which all qubits are available for use in the algorithm, termed the full-width setting (that is, any error-correction overhead is abstracted away, and none of the remaining qubits are assigned any purpose other than to be available for running quantum algorithms)