Abstract: A computer-implemented method is disclosed for mapping a dataset from a Hilbert space of a given dimension to a Hilbert space of a different dimension, the method comprising obtaining a dataset, for each data sample of the dataset, for a plurality of episodes, generating an encoded sample; configuring an adiabatic quantum device by embedding each encoded sample into a q-body Hamiltonian H representative of an adiabatic quantum device, causing the adiabatic quantum device to evolve from an initial state to a final state; and performing a projective measurement along z axis at the final state to determine the value of each qubit; generating a corresponding binary vector representative of the given data sample in a transformed Hilbert space using the determined value of each qubit at each episode and providing a mapped dataset comprising each of the generated corresponding binary vectors.

Abstract: A computer-implemented method is disclosed for mapping a dataset from a Hilbert space of a given dimension to a Hilbert space of a different dimension, the method comprising obtaining a dataset, for each data sample of the dataset, for a plurality of episodes, generating an encoded sample; configuring an adiabatic quantum device by embedding each encoded sample into a q-body Hamiltonian H representative of an adiabatic quantum device, causing the adiabatic quantum device to evolve from an initial state to a final state; and performing a projective measurement along z axis at the final state to determine the value of each qubit; generating a corresponding binary vector representative of the given data sample in a transformed Hilbert space using the determined value of each qubit at each episode and providing a mapped dataset comprising each of the generated corresponding binary vectors.

Abstract: A method and a system are disclosed for identifying at least one community, the method comprising providing an indication of a graph, the graph comprising a plurality of nodes and edges, wherein each node is representative of a given element and each edge is representative of a relationship between two given elements; providing a metric indicative of an underlying community detection algorithm; obtaining an indication of an upper bound value for a given maximum number of communities to identify; encoding each node using a one-hot encoding method and the indication of an upper bound value; generating a quadratic unconstrained binary optimization problem using the metric and the encoded nodes; providing the generated quadratic unconstrained binary optimization problem to an optimization oracle and obtaining a solution.

Abstract: A method for estimating a thermodynamic property of a quantum Ising model with transverse field is disclosed.

Abstract: A method and a system are disclosed for estimating a trace operator to be used in a machine learning task. The method comprises obtaining an indication of a pair of points; constructing a quantum circuit comprising a single control qubit and a plurality of register qubits using the obtained pair of points, the constructing comprising receiving an encoding pattern and an architecture of a quantum circuit, encoding the pair of points into the plurality of register qubits, initializing the quantum circuit, and compiling the quantum circuit for a quantum device; evolving the quantum circuit on the quantum device; obtaining an indication of at least one measurement on the single control qubit of the corresponding quantum circuit; determining an indication of an estimated trace of the unitary operator representing the plurality of register qubits using the obtained indication of at least one measurement on the single control qubit and providing the indication of the estimated trace of the unitary operator.

Abstract: The present disclosure provides methods, systems, and non-transitory computer-readable media for hybrid computing integrating resources of classical computing and non-classical computing. A hybrid computing system may comprise an interface that receives a quadratic unconstrained binary optimization (QUBO) problem from a user, and a solver operatively coupled to the interface. The solver may solve the QUBO problem by a hybrid computer comprising a classical computer and a non-classical computer. The classical computer may comprise a digital processor and memory.

Abstract: A method for estimating a thermodynamic property of a quantum Ising model with transverse field is disclosed.