no code implementations • 19 Feb 2021 • Hongbin Liu, Guang Hao Low, Damian S. Steiger, Thomas Häner, Markus Reiher, Matthias Troyer
Molecular science is governed by the dynamics of electrons, atomic nuclei, and their interaction with electromagnetic fields.
Quantum Physics
2 code implementations • 26 Jul 2019 • Guang Hao Low, Vadym Kliuchnikov, Nathan Wiebe
We introduce well-conditioned multiproduct formulas, which are a linear combination of product formulas, where a single step has polynomial cost $\mathcal{O}(m^2\log{(m)})$ and succeeds with probability $\Omega(1/\operatorname{log}^2{(m)})$.
Quantum Physics Computational Physics
no code implementations • 1 Apr 2019 • Guang Hao Low, Nicholas P. Bauman, Christopher E. Granade, Bo Peng, Nathan Wiebe, Eric J. Bylaska, Dave Wecker, Sriram Krishnamoorthy, Martin Roetteler, Karol Kowalski, Matthias Troyer, Nathan A. Baker
Fault-tolerant quantum computation promises to solve outstanding problems in quantum chemistry within the next decade.
Quantum Physics Emerging Technologies Chemical Physics Computational Physics
no code implementations • 5 Feb 2019 • Nicholas P. Bauman, Eric J. Bylaska, Sriram Krishnamoorthy, Guang Hao Low, Nathan Wiebe, Karol Kowalski
In analogy to the standard single-reference SES-CC formalism, its unitary CC extension allows one to include the dynamical (outside the active space) correlation effects in an SES induced complete active space (CAS) effective Hamiltonian.
Quantum Physics
no code implementations • 3 Dec 2018 • Guang Hao Low, Vadym Kliuchnikov, Luke Schaeffer
We present a quantum algorithm for preparing any dimension-$N$ pure quantum state specified by a list of $N$ classical numbers, that realizes a trade-off between space and T-gates.
Quantum Physics