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Efficient Simulation of Pre-Born-Oppenheimer Dynamics on a Quantum Computer
Matthew Pocrnic, Ignacio Loaiza, Juan Miguel Arrazola +2
In this work, we present a quantum algorithm for direct first-principles simulation of electron-nuclear dynamics on a first-quantized real-space grid. Our algorithm achieves best-i…
Ground State Preparation via Dynamical Cooling
Danial Motlagh, Modjtaba Shokrian Zini, Juan Miguel Arrazola +1
Quantum algorithms for probing ground-state properties of quantum systems require good initial states. Projection-based methods such as eigenvalue filtering rely on inputs that hav…
Doubling Efficiency of Hamiltonian Simulation via Generalized Quantum Signal Processing
Dominic W. Berry, Danial Motlagh, Giacomo Pantaleoni +1
Quantum signal processing provides an optimal procedure for simulating Hamiltonian evolution on a quantum computer using calls to a block encoding of the Hamiltonian. In many situa…