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Solving the quantum many-body problem with artificial neural networks
A variational representation of quantum states based on artificial neural networks with a variable number of hidden neurons and a reinforcement-learning scheme that is capable of both finding the ground state and describing the unitary time evolution of complex interacting quantum systems. Expand
Continuous-time Monte Carlo methods for quantum impurity models
Quantum impurity models describe an atom or molecule embedded in a host material with which it can exchange electrons. They are basic to nanoscience as representations of quantum dots and molecularExpand
ProjectQ: An Open Source Software Framework for Quantum Computing
We introduce ProjectQ, an open source software effort for quantum computing. The first release features a compiler framework capable of targeting various types of hardware, a high-performanceExpand
Progress towards practical quantum variational algorithms
The preparation of quantum states using short quantum circuits is one of the most promising near-term applications of small quantum computers, especially if the circuit is short enough and theExpand
Type-II Weyl semimetals
This work proposes the existence of a previously overlooked type of Weyl fermion that emerges at the boundary between electron and hole pockets in a new phase of matter and discovers a type-II Weyl point, which is still a protected crossing, but appears at the contact of electron and Hole pockets in type- II Weyl semimetals. Expand
Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
It is proved that the sign problem is nondeterministic polynomial (NP) hard, implying that a generic solution of the sign problems would also solve all problems in the complexity class NP inPolynomial time. Expand
Evidence for quantum annealing with more than one hundred qubits
Quantum annealing is expected to solve certain optimization problems more efficiently, but there are still open questions regarding the functioning of devices such as D-Wave One. A numerical andExpand
Defining and detecting quantum speedup
Here, it is shown how to define and measure quantum speedup and how to avoid pitfalls that might mask or fake such a speedup, and the subtle nature of the quantum speed up question is illustrated. Expand
Elucidating reaction mechanisms on quantum computers
This work shows how quantum computers can be used to elucidate the reaction mechanism for biological nitrogen fixation in nitrogenase, by augmenting classical calculation of reaction mechanisms with reliable estimates for relative and activation energies that are beyond the reach of traditional methods. Expand
Competing states in the t-J model: uniform D-wave state versus stripe state.
Variational studies of the t-J model on the square lattice based on infinite projected-entangled pair states confirm an extremely close competition between a uniform d-wave superconducting state andExpand