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Abstract

Described herein are methods, systems, and media for setting a system of superconducting qubits having a Hamiltonian representative of a polynomial on a bounded integer domain via bounded-coefficient encoding. The method comprises: obtaining the polynomial on the bounded integer domain and integer encoding parameters; computing bounded-coefficient encoding using the integer encoding parameters; recasting each integer variable as a linear function of binary variables using the bounded-coefficient encoding, and providing additional constraints on the attained binary variables to avoid degeneracy in the encoding; substituting each integer variable with an equivalent binary representation, and computing the coefficients of the equivalent binary representation of the polynomial on the bounded integer domain; performing a degree reduction on the obtained equivalent binary representation of the polynomial to provide an equivalent polynomial of degree at most two in binary variables; using which, setting local field biases and coupling strengths on the system of superconducting qubits.

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