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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.
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 molecular…
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.
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 the…
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-performance…
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.
Elucidating reaction mechanisms on quantum computers
- M. Reiher, N. Wiebe, K. Svore, D. Wecker, M. Troyer
- Computer Science, PhysicsProceedings of the National Academy of Sciences
- 11 May 2016
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.
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 and…
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.
Interacting anyons in topological quantum liquids: the golden chain.
Numerical simulations of a chain of Fibonacci anyons show that the model is critical with a dynamical critical exponent z=1, and described by a two-dimensional (2D) conformal field theory with central charge c=7/10.