Theory of Trotter Error with Commutator Scaling

By Andrew M. Childs, Yuan Su, Minh C. Tran, Nathan Wiebe, Shuchen Zhu. 2021

620 citations recorded by the source corpus.

Product formulas offer a powerful, simple approach to quantum simulation. A new theory quantifying their errors puts these algorithms on a rigorous foundation, showcasing their superiority over other methods.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/26f573b05bddce6c2f1f557205d77214482c73c5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Andrew J. Daley
2. I. Bloch
3. C. Kokail
4. Matthias Troyer
5. S. Flannigan
6. N. Pearson
7. Peter Zoller
8. J. Dalibard

In Atomic and Molecular Physics, and Optics

1. Andrew J. Daley
2. Peter Zoller
3. I. Bloch
4. Matthias Troyer
5. C. Kokail
6. S. Flannigan
7. N. Pearson
8. Mark Saffman

In Condensed Matter Physics

1. Peter Zoller
2. S. Flannigan
3. I. Bloch
4. Matthias Troyer
5. N. Pearson
6. Andrew J. Daley
7. C. Kokail

Citations in the corpus

• Practical quantum advantage in quantum simulation (2022, background): “To arrive at this number, we assume a Trotter decomposition for the time evolution, and allow time steps as large as possible 49,50,69 while matching the accuracy of the analogue quantum simulator for this problem, which is just below ħ / J (so we take ħ / J as our time step for these estimates).”