Systems and methods for quantum-secured, private-preserving computations

A method for secure communications between multiple parties, comprising the steps of:

• transforming private information into measurement bases;
• generating a plurality of sets of entangled photons, wherein each photon of said plurality of sets of entangled photons represents a corresponding optical pulse or a quantum mechanical superposition of optical pulses;
• transmitting said plurality of sets of entangled photons, one set of entangled photons at a time, to a plurality of communication parties, wherein each communication party of said plurality of communication parties receives a photon from each set of said plurality of sets of entangled photons in the order in which said plurality sets of entangled photons are transmitted;
• assigning each set of entangled photons an index number based on the order in which said plurality of sets of entangled photons are transmitted to said plurality of communication parties, whereby optical pulses corresponding to photons from the same corresponding set of entangled photons are associated with identical index numbers;
• applying said measurement bases to said optical pulses and detecting said photons on said measurement bases to obtain respective data for each party of said plurality of communication parties in the order in which said optical pulses are received by each party;
• generating from said respective data corresponding lists of relevant indices for each party of said plurality of communication parties;
• and
• computing a secure communication by comparing said corresponding lists of relevant indices.