METHODS AND SYSTEMS FOR SETTING A SYSTEM OF SUPER CONDUCTING QUBITS HAVING A HAMILTONIAN REPRESENTATIVE OF A POLYNOMIAL ON A BOUNDED INTEGER DOMAIN

摘要

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. A polynomial on the bounded integer domain and integer encoding parameters may be obtained. Next, the bounded-coefficient encoding may be computed. Next, each integer variable of the polynomial may be recast as a linear function of binary variables. Next, coefficients of an equivalent binary representation of the polynomial may be computed. Next, a degree reduction may be performed on the equivalent binary representation of the polynomial to generate an equivalent polynomial of a degree of at most two in binary variables. Next, local field biases and coupling strengths may be set on the system of superconducting qubits using the coefficients of the equivalent polynomial of the degree of at most two in binary variables.