Abstract: A computer implemented method for encoding bits by qubits to perform information-theoretically secure quantum gate computation, according to which pairs of quantum bits consisting of a first qubit as an encoding of “0” and a second qubit as an encoding of “1” are randomly selected, such that the first and second qubits are orthogonal to each other as quantum states and are interchanged by a NOT gate. Each qubit rotating to a desired initial direction and then each rotated qubit is further rotated to its antipodal direction by applying a quantum NOT or CNOT gate to the each rotated qubit, without any knowledge about the desired direction. A unitary gate is further applied over the qubits, using an ancillary |0 qubit that creates an equally weighted superposition of the qubits.

Abstract: A computer implemented method for encoding bits by qubits to perform information-theoretically secure quantum gate computation, according to which pairs of quantum bits consisting of a first qubit as an encoding of “0” and a second qubit as an encoding of “1” are randomly selected, such that the first and second qubits are orthogonal to each other as quantum states and are interchanged by a NOT gate. Each qubit rotating to a desired initial direction and then each rotated qubit is further rotated to its antipodal direction by applying a quantum NOT or CNOT gate to the each rotated qubit, without any knowledge about the desired direction. A unitary gate is further applied over the qubits, using an ancillary |0 qubit that creates an equally weighted superposition of the qubits.

Abstract: A method for performing, in a single round of communication and by a distributed computational system, Secure MultiParty Computation (SMPC) of an arithmetic function ƒ:pk?p represented as a multivariate polynomial over secret shares for a user, comprising the steps of sharing secrets among participants being distributed computerized systems, using multiplicative shares, the product of which is the secret, or additive shares, that sum up to the secret by partitioning secrets to sums or products of random elements of the field; implementing sequences of additions of secrets locally by addition of local shares or sequences of multiplications of secrets locally by multiplication of local shares; separately evaluating the monomials of ƒ by the participants; adding the monomials to obtain secret shares of ƒ.