METHODS AND SYSTEMS FOR IMPROVING AN ESTIMATION OF A PROPERTY OF A QUANTUM STATE

A method for improving an estimation of a property of a quantum state may include (a) using an interface of a digital computer to receive an indication of the property of the quantum state to be estimated; at least one quantum device; and at least one computational platform. The method may include using the at least one quantum device to obtain a plurality of measurement results of the quantum state. The method may include using the at least one computational platform to construct and train a neural network using the plurality of measurement results, wherein the neural network comprises at least one trainable parameter and wherein the neural network is representative of the quantum state. The method may include using the at least one computational platform and the property of the quantum state to train the at least one trainable parameter of the neural network to variationally improve the quantum state.