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Optimizing QAOA: Success Probability and Runtime Dependence on Circuit Depth
Murphy Yuezhen Niu, Sirui Lu, Isaac L. Chuang
The quantum approximate optimization algorithm~(QAOA) first proposed by Farhi et al. promises near-term applications based on its simplicity, universality, and provable optimality.…
Empirical determination of the simulation capacity of a near-term quantum computer
Rich Rines, Kevin Obenland, Isaac Chuang
Experimentally realizable quantum computers are rapidly approaching the threshold of quantum supremacy. Quantum Hamiltonian simulation promises to be one of the first practical app…
Recurrent Neural Networks in the Eye of Differential Equations
Murphy Yuezhen Niu, Lior Horesh, Isaac Chuang
To understand the fundamental trade-offs between training stability, temporal dynamics and architectural complexity of recurrent neural networks~(RNNs), we directly analyze RNN arc…