1 citations · 1 across the 5 of their papers we have counts for
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Riemannian gradient descent-based quantum algorithms for ground state preparation with guarantees
Mahum Pervez, Ariq Haqq, Nathan A. McMahon +1
We investigate Riemannian gradient flows for preparing ground states of a desired Hamiltonian on a quantum device. We show that the number of steps of the corresponding Riemannian…
Higher-order Zeno sequences
Kasra Rajabzadeh Dizaji, Leeseok Kim, Milad Marvian +1
The quantum Zeno effect typically refers to freezing the dynamics of a quantum system through frequent observations. In general, quantum Zeno dynamics is obtained with an error of…
On the convergence of the variational quantum eigensolver and quantum optimal control
Marco Wiedmann, Daniel Burgarth, Gunther Dirr +3
When do variational quantum algorithms converge to a globally optimal solution? Despite extensive work, this question remains largely open. We develop a convergence theory for the…
Equating quantum imaginary time evolution, Riemannian gradient flows, and stochastic implementations
Nathan A. McMahon, Mahum Pervez, Christian Arenz
We identify quantum imaginary time evolution as a Riemannian gradient flow on the unitary group. We develop an upper bound for the error between the two evolutions that can be cont…