Table 1 Reference guide for variables and their description

From: Solving Boltzmann optimization problems with deep learning

Variable

Description

ψ

Set of Hamiltonian coefficients

s

State of spins

H

Hamiltonian equation

Hψ(s)

Hamiltonian of state s with coefficients ψ (Eq. (1))

w

Undesired state

u

Portion of spin state s fixed

v

Portion of spin state s varying

a

Auxiliary spin vector or auxiliary array as defined by context

N

Total number of spins

n

Number of fixed spins

m

Number of varying spins

α

Number of auxiliary spins

W(i)

Set of undesired states with respect to state s(i)

(a(1), …, a())

Auxiliary array

ρ

Objective function