Yi-Kai Liu


(photo credit: John Whittle, CC license)

About Me

I am a postdoctoral researcher at the Institute for Quantum Information at Caltech. I am working on quantum computation, in particular, quantum algorithms and complexity. I'm also generally interested in theoretical computer science and machine learning. You can reach me via e-mail at: yikailiu (at) caltech (dot) edu

I am supported by an NSF Mathematical Sciences Postdoctoral Research Fellowship. (Thank you, NSF!)

This page was last updated on: Feb. 8, 2008.

Also, you can still visit my old home page.

Papers and Other Stuff

Y.-K. Liu, "The Local Consistency Problem for Stoquastic and 1-D Quantum Systems," submitted. ArXiv:0712.1388.

PhD thesis: Y.-K. Liu, "The Complexity of the Consistency and N-representability Problems for Quantum States," ArXiv:0712.3041.

Y.-K. Liu, M. Christandl and F. Verstraete, "N-representability is QMA-complete," Phys. Rev. Lett. 98, 110503 (2007) [link]; Arxiv preprint: quant-ph/0609125.

Y.-K. Liu, "Consistency of Local Density Matrices is QMA-complete," Proc. RANDOM 2006, pp.438-449; Arxiv preprint: quant-ph/0604166.

Y.-K. Liu, V. Lyubashevsky and D. Micciancio, "On Bounded Distance Decoding for General Lattices," Proc. RANDOM 2006, pp.450-461.

Y.-K. Liu, "Gibbs States and the Consistency of Local Density Matrices," Arxiv preprint: quant-ph/0603012.
Previously presented as a poster at the SQuInT workshop, Albuquerque, NM, Feb. 17-19, 2006.

K. Levchenko and Y.-K. Liu, "Counting Solutions of Polynomial Equations" [pdf].
A note, pointing out an error in the paper: "Improved Range-Summable Random Variable Construction Algorithms," by A. R. Calderbank et al, SODA 2005.

A. Blanc, Y.-K. Liu and A. Vahdat, "Designing Incentives for Peer-to-Peer Routing," Proc. INFOCOM 2005, pp.374-385 [pdf].
A preliminary version appeared in P2PEcon 2004 [link] (but we recommend the INFOCOM paper, which has more results and a better discussion section).

Undergraduate senior thesis: original version or revised version (Aug. 26, 2002).

Some Useful Links

IQI Seminars
Physics Research Conference
CS Theory Seminar
IST Seminars

Technique (campus guide)

Tips on writing papers using LaTeX