Research Interests

My research interests lie at the intersection between topological order and quantum information theory. I have been applying concepts in quantum information theory in the studies of topological order. This program has been successful in two different directions. It has led to new insights about topological order, but it also kindled fruitful new questions in quantum information theory.

Recent Publications

  • Isaac H. Kim. Modulus of convexity for operator convex functions. J. Math. Phys. 55, 082201, arXiv: 1310.0746
  • Isaac H. Kim. Entropic topological invariant for a gapped one-dimensional system. Phys. Rev. B 89, 235120, arXiv: 1306.4771
  • Isaac H. Kim. Long-range entanglement is necessary for a topological storage of quantum information. Phys. Rev. Lett. 111, 080503, arXiv: 1304.3925
  • Isaac H. Kim. Perturbative analysis of topological entanglement entropy from conditional independence. Phys. Rev. B 86, 245116, arXiv: 1210.2360
  • Isaac H. Kim. Determining structure of real-space entanglement spectrum from approximate conditional independence. Phys. Rev. B 87, 155120, arXiv: 1210.1831
  • Constructing local integrals of motion in the many-body localized phase, Anushya Chandran, Isaac H. Kim, Guifre Vidal, Dmitry A. Abanin, arXiv: 1407.8480
  • Brian Swingle, Isaac H. Kim. Reconstructing quantum states from local data, arXiv: 1407.2658
  • Isaac H. Kim. On the informational completeness of local observables, arXiv: 1405.0137
  • Isaac H. Kim, Mary B. Ruskai. Bounds on the concavity of quantum entropy, arXiv: 1404.5999

Seminars

  • On the informational completeness of local observables. In: Quantum in- formation science seminar(MIT, April 25, 2014), Mini workshop on the frontiers of quantum information(University of Guelph, April 8, 2014), Institute of quantum information seminar(Caltech, March 11, 2014),.
  • Long-range entanglement is necessary for a topological storage of quantum information. In: Quantum Information Processing 2014.
  • PIRSA:14080007, Reconstructing quantum states from local data, 2014-08-12, Condensed Matter
  • PIRSA:12120035, Application of conditional independence to gapped quantum many-body systems, 2012-12-12, Quantum Information