Table 9 An example of the types of quantum data features which may be included in a dedicated large-scale dataset for QML.

From: QDataSet, quantum datasets for machine learning

Item

Description

Quantum states

Description of states in computational basis, usually represented as vector or matrix (for ρ). May include initial and evolved (intermediate or final) states

Measurement operators

Measurement operators used to generate measurements, description of POVM.

Measurement distribution

Distribution of measurement outcome of measurement operators, either the individual measurement outcomes or some average (the QDataSet is an average over noise realisations).

Hamiltonians

Description of Hamiltonians, which may include system, drift, environment etc Hamiltonians. Hamiltonians should also include relevant control functions (if applicable).

Gates and operators

Descriptions of gate sequences (circuits) in terms of unitaries (or other operators). The representation of circuits will vary depending on the datasets and use case, but ideally quantum circuits should be represented in a way easily translatable across common quantum programming languages and integrable into common machine learning platforms (e.g. TensorFlow, PyTorch).

Noise

Description of noise, either via measurement statistics, known features of noise, device specifications.

Controls

Specification and description of the controls available to act on the quantum system.

  1. The choice of such features will depend on the particular objectives in question. We include a range of quantum data in the QDataSet, including information about quantum states, measurement operators and measurement statistics, Hamiltonians and their corresponding gates, details of environmental noise and controls.