Circuit complexity for coherent states

By Minyong Guo, Juan P. Hernandez, R. Myers, Shan-Ming Ruan. Journal of High Energy Physics, 2018

140 citations recorded by the source corpus.

A bstractWe examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen’s geometric approach as in [1]. The complexity of the coherent states have the same UV divergences as the vacuum state complexity and so we consider the finite increase of the complexity of these states over the vacuum state. One observation is that generally, the optimal circuits introduce entanglement between the normal modes at intermediate stages even though our reference state and target states are not entangled in this basis. We also compare our results from Nielsen’s approach with those found using the Fubini-Study method of [2]. For general coherent states, we find that the complexities, as well as the optimal circuits, derived from these two approaches, are different.

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

View Paper: https://www.semanticscholar.org/paper/dde2120b8f22eb57ea802a63a1cc5833022c39db

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. Shira Chapman
2. H. Marrochio
3. R. Myers
4. Lucas Hackl
5. Jens Eisert
6. Ro Jefferson
7. Anatoly Dymarsky
8. Shan-Ming Ruan

In Atomic and Molecular Physics, and Optics

1. R. Myers
2. Shira Chapman
3. H. Marrochio
4. Ro Jefferson
5. Lucas Hackl
6. Jens Eisert
7. M. Heller
8. T. Takayanagi

Citations in the corpus

• Complexity and entanglement for thermofield double states (2018, background): “e creation operators. 57Note that recently examples have been found in the more general setting of coherent states where the two approaches produce dierent complexities and dierent optimal circuits [118]. 58In particular, the time dependence of such unitaries is heavily dependent on the time depende”