Abstract: A system and computer-implemented method for allocating a plurality of transactions to a plurality of networks comprising: receiving from a router at a classical computer a plurality of first information associated with a respective one of the plurality of transactions; receiving from a router at the classical computer a plurality of second information associated with a respective one of the plurality of networks; determining in the classical computer a switching characteristic to be optimised by the allocation of the plurality of transactions to the plurality of networks; expressing by the classical computer in at least one expression to a quantum computer, the plurality of first information, the plurality of second information and the switching characteristic; resolving in the quantum computer the at least one expression to determine the allocation of the plurality of transactions to the plurality of networks; and providing the allocation to the router.

Abstract: A system and computer-implemented method for optimising, by a quantum computer, an allocation of opportunities to recipients comprising: determining a plurality of opportunities to be allocated; determining a plurality of recipients to be allocated at least one of the plurality of opportunities; determining a respective acceptance likelihood of each of the plurality of recipients accepting each of the plurality of opportunities; determining a first constraint associated with a cost acceptance of each of the plurality of opportunities by the plurality of recipients; and determining an optimised allocation of the opportunities to the recipients based on the respective likelihoods and the first constraint, in the quantum computer.

Abstract: An internal flow determination method comprising the steps of: receiving, at a classical computer, an input flow vector comprising a plurality of input entries. Then, receiving an output flow vector comprising a plurality of output entries. Said output entries are indicative of a monetary amount exiting the processing node. Determining an objective optimization problem subject to one or more constraints, wherein an objective of the objective optimization problem is to determine: an input flow matrix and an output flow matrix. Then, determining a quadratic unconstrained binary optimization (QUBO) formulation suitable for implementing the objective optimization problem. Solving, by a quantum computer, the QUBO formulation, thereby providing a solution representative of the input flow matrix and the output flow matrix. Finally, generating, by the classical computer, a probability matrix indicative of a probability that an internal flow of the processing node connects an input entry to an output entry.