Momentum switches
Andrew M. Childs, David Gosset, Daniel Nagaj, Mouktik Raha, Zak Webb
TL;DR
This paper introduces momentum switches in quantum walks, enabling momentum-dependent routing of particles, and discusses their construction, including approximate solutions where exact ones are impossible.
Contribution
It presents the design and analysis of momentum switches for quantum walks, including methods for approximate implementations when exact solutions are not feasible.
Findings
Constructed explicit momentum switches for quantum walks.
Demonstrated that exact momentum switches may not always exist.
Provided methods for arbitrarily good approximations of momentum switches.
Abstract
Certain continuous-time quantum walks can be viewed as scattering processes. These processes can perform quantum computations, but it is challenging to design graphs with desired scattering behavior. In this paper, we study and construct momentum switches, graphs that route particles depending on their momenta. We also give an example where there is no exact momentum switch, although we construct an arbitrarily good approximation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.