Department of Mathematical Sciences

 

 
  1. Published

    Near inclusions of C*-algebras

    Christensen, Erik, Jul 1980, In: Acta Mathematica. 144, 1, p. 249-265 17 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  2. Published

    A survey of completely bounded operators

    Christensen, Erik & Sinclair, A. M., Sep 1989, In: Bulletin of the London Mathematical Society. 21, 5, p. 417-448 32 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  3. Published

    Completely bounded isomorphisms of injective von neumann algebras

    Christensen, Erik & Sinclair, A. M., Jun 1989, In: Proceedings of the Edinburgh Mathematical Society. 32, 2, p. 317-327 11 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  4. Published

    On weakly D-differentiable operators

    Christensen, Erik, 2016, In: Expositiones Mathematicae. 34, 1, p. 27–42

    Research output: Contribution to journalJournal articleResearchpeer-review

  5. Published

    Dirac operators and spectral triples for some fractal sets built on curves

    Christensen, Erik, Ivan, C. & Lapidus, M. L., 2008, In: Advances in Mathematics. 217, 1, p. 42 - 78 37 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  6. Published

    Von Neumann algebras as complemented subspaces of B(H)

    Christensen, Erik & Wang, L., 2014, In: International Journal of Mathematics. 25, 9 p., 1450107.

    Research output: Contribution to journalJournal articleResearchpeer-review

  7. Published

    Spectral triples for AF C*-algebras and metrics on the Cantor set

    Christensen, Erik, 2006, In: Journal of Operator Theory. 56, p. 17-46

    Research output: Contribution to journalJournal articleResearchpeer-review

  8. Published

    Finite von Neumann algebra factors with property Gamma

    Christensen, Erik, 2001, In: Journal of Functional Analysis. 186, p. 366-380

    Research output: Contribution to journalJournal articleResearchpeer-review

  9. Published

    Representations of completely bounded multilinear operators

    Christensen, Erik & Sinclair, A. M., May 1987, In: Journal of Functional Analysis. 72, 1, p. 151-181 31 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  10. Published

    Perturbations of C*-algebraic Invariants

    Christensen, Erik, Sinclair, A. M., Smith, R. R. & White, S., 2010, In: Geometric and Functional Analysis. 20, 2, p. 368 - 397 30 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  11. Published

    Extensions and degeneration of spectral triples

    Christensen, Erik & Ivan, C., 2009, In: Communications in Mathematical Physics. 285, 3, p. 925-955 31 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  12. Published

    On some problems studied by R.V. Kadison

    Christensen, Erik, 2003, In: Acta Mathematica Sinica. English series. 19, p. 523-534

    Research output: Contribution to journalJournal articleResearchpeer-review

  13. Published

    Bilinear forms, Schur multipliers, complete boundedness and duality

    Christensen, Erik, 2023, In: Mathematica Scandinavica. 129, 3, p. 543-569

    Research output: Contribution to journalJournal articleResearchpeer-review

  14. Published

    Generators of semigroups of completely positive maps

    Christensen, Erik, Jun 1978, In: Communications in Mathematical Physics. 62, 2, p. 167-171 5 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  15. Published

    Perturbations of nuclear C*-algebras.

    Christensen, Erik, Sinclair, A. M., White, S., Smith, R. R. & Winter, W., 2012, In: Acta Mathematica. 208, p. 93-150 58 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  16. Published

    Sums of two-dimensional spectral triples

    Christensen, Erik & Ivan, C., 2007, In: Mathematica Scandinavica. 100, 1, p. 35-60 26 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  17. Published

    The block Schur product is a Hadamard product

    Christensen, Erik, 2020, In: Mathematica Scandinavica. 126, 3, p. 603-616

    Research output: Contribution to journalJournal articleResearchpeer-review

  18. Published

    On non-selfadjoint representations of C*-algebras

    Christensen, Erik, 1981, In: American Journal of Mathematics. 103, p. 817 - 833 17 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  19. Published

    Non-commutative integration for monotone sequentially closed C∗ algebras

    Christensen, Erik, 1972, In: Mathematica Scandinavica. 31, p. 171-190 20 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  20. Published

    Cohomology of operator algebras and quantum dynamical semigroups.

    Christensen, Erik & Evans , D. E., 1979, In: Journal of the London Mathematical Society. 20, 2, p. 358-368 11 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  21. Published

    On the vanishing of Hn(A, A*) for certain C*-algebras

    Christensen, Erik & Sinclair, A. M., Mar 1989, In: Pacific Journal of Mathematics. 137, 1, p. 55-63 9 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  22. Published

    Two generalizations of the Gleason-Kahane-Z̀elazko theorem

    Christensen, Erik, Jan 1997, In: Pacific Journal of Mathematics. 177, 1, p. 27-32 6 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  23. Published

    Konvekse mængder

    Christensen, Erik, 2001, 106 p.

    Research output: Book/ReportBookCommunication

  24. Published

    Asymptotic Performance of Port-Based Teleportation

    Christandl, Matthias, Leditzky, F., Majenz, C., Smith, G., Speelman, F. & Walter, M., 2021, In: Communications in Mathematical Physics. 381, 1, p. 379-451

    Research output: Contribution to journalJournal articleResearchpeer-review

  25. Published

    On the Relation between Quantum Data Hiding and Quantum Key Distribution

    Christandl, Matthias & Frand-Madsen, Mads Friis, 2023, 2023 IEEE International Symposium on Information Theory (ISIT). IEEE, p. 985-990

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  26. Published

    Tip of the Quantum Entropy Cone

    Christandl, Matthias, Durhuus, Bergfinnur & Wolff, Lasse Harboe, 2023, In: Physical Review Letters. 131, 24, p. 1-6 240201.

    Research output: Contribution to journalJournal articleResearchpeer-review

  27. Published

    Eigenvalue Distributions of Reduced Density Matrices

    Christandl, Matthias, Doran, B., Kousidis, S. & Walter, M., 2014, In: Communications in Mathematical Physics. 332, p. 1-52

    Research output: Contribution to journalJournal articleResearchpeer-review

  28. Published

    Highly Entangled States with Almost No Secrecy

    Christandl, Matthias, Schuch, N. & Winter, A., 17 Jun 2010, In: Physical Review Letters. 104, 24

    Research output: Contribution to journalJournal articleResearchpeer-review

  29. Published

    Recoupling Coefficients and Quantum Entropies

    Christandl, Matthias, Sahinoglu, M. B. & Walter, M., Feb 2018, In: Annales Henri Poincare. 19, 2, p. 385-410

    Research output: Contribution to journalJournal articleResearchpeer-review

  30. Published

    Barriers for fast matrix multiplication from irreversibility

    Christandl, Matthias, Vrana, P. & Zuiddam, J., 2019, 34th Computational Complexity Conference, CCC 2019. Shpilka, A. (ed.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 17 p. 26. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 137).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  31. Published

    Finite de Finetti theorem for conditional probability distributions describing physical theories

    Christandl, Matthias & Toner, B., Apr 2009, In: Journal of Mathematical Physics. 50, 4

    Research output: Contribution to journalJournal articleResearchpeer-review

  32. Published

    Nonzero Kronecker coefficients and what they tell us about spectra

    Christandl, Matthias, Harrow, A. W. & Mitchison, G., Mar 2007, In: Communications in Mathematical Physics. 270, 3, p. 575-585

    Research output: Contribution to journalJournal articleResearchpeer-review

  33. Published

    Tensor surgery and tensor rank

    Christandl, Matthias & Zuiddam, J., 2019, In: Computational Complexity. 28, 1, p. 27–56

    Research output: Contribution to journalJournal articleResearchpeer-review

  34. Published

    Random Private Quantum States

    Christandl, Matthias, Ferrara, R. & Lancien, C., 2018, 2018 IEEE International Symposium on Information Theory, ISIT 2018. IEEE, p. 1784-1788 5 p.

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  35. Published

    Partial Degeneration of Tensors

    Christandl, Matthias, Gesmundo, F., Lysikov, V. & Steffan, Vincent, 2024, In: SIAM Journal on Matrix Analysis and Applications. 45, 1, p. 771-800

    Research output: Contribution to journalJournal articleResearchpeer-review

  36. Published

    Larger Corner-Free Sets from Combinatorial Degenerations

    Christandl, Matthias, Fawzi, O., Ta, H. & Zuiddam, J., 2022, 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, p. 1-20 48. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 215).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  37. Published

    Postselection Technique for Quantum Channels with Applications to Quantum Cryptography

    Christandl, Matthias, Koenig, R. & Renner, R., 16 Jan 2009, In: Physical Review Letters. 102, 2

    Research output: Contribution to journalJournal articleResearchpeer-review

  38. Published

    "Squashed entanglement": An additive entanglement measure

    Christandl, Matthias & Winter, A., Mar 2004, In: Journal of Mathematical Physics. 45, 3, p. 829-840

    Research output: Contribution to journalJournal articleResearchpeer-review

  39. Published

    Weighted slice rank and a minimax correspondence to Strassen's spectra

    Christandl, Matthias, Lysikov, V. & Zuiddam, J., 2023, In: Journal des Mathematiques Pures et Appliquees. 172, p. 299-329 31 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  40. Published

    The spectra of quantum states and the Kronecker coefficients of the symmetric group

    Christandl, Matthias & Mitchison, G., Feb 2006, In: Communications in Mathematical Physics. 261, 3, p. 789-797

    Research output: Contribution to journalJournal articleResearchpeer-review

  41. Published

    Optimization at the boundary of the tensor network variety

    Christandl, Matthias, Gesmundo, F., Stilck França, Daniel & Werner, Albert H., 2021, In: Physical Review B. 103, 19, 195139.

    Research output: Contribution to journalJournal articleResearchpeer-review

  42. Published

    The Quantum Analog to Intrinsic Information

    Christandl, Matthias, 2002, ETH Zûrich. 65 p.

    Research output: Book/ReportPh.D. thesisResearch

  43. Published

    Border Rank Is Not Multiplicative under the Tensor Product

    Christandl, Matthias, Gesmundo, F. & Jensen, A. K., 2019, In: SIAM Journal on Applied Algebra and Geometry. 3, 2, p. 231–255

    Research output: Contribution to journalJournal articleResearchpeer-review

  44. Published

    When Do Composed Maps Become Entanglement Breaking?

    Christandl, Matthias, Müller-Hermes, A. & Wolf, M. M., 2019, In: Annales Henri Poincare. 20, 7, p. 2295-2322

    Research output: Contribution to journalJournal articleResearchpeer-review

  45. Published

    Quantum anonymous transmissions

    Christandl, Matthias & Wehner, S., 2005, ADVANCES IN CRYPTOLOGY ASIACRYPT 2005. Vol. 3788. p. 217-235

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

  46. Published

    Uncertainty, monogamy, and locking of quantum correlations

    Christandl, Matthias & Winter, A., Sep 2005, In: I E E E Transactions on Information Theory. 51, 9, p. 3159-3165

    Research output: Contribution to journalJournal articleResearchpeer-review

  47. Published

    Relative Entropy Bounds on Quantum, Private and Repeater Capacities

    Christandl, Matthias & Müller-Hermes, A., Jul 2017, In: Communications in Mathematical Physics. 353, 2, p. 821-852

    Research output: Contribution to journalJournal articleResearchpeer-review

  48. Published

    Private States, Quantum Data Hiding, and the Swapping of Perfect Secrecy

    Christandl, Matthias & Ferrara, R., 30 Nov 2017, In: Physical Review Letters. 119, 22, 6 p., 220506.

    Research output: Contribution to journalJournal articleResearchpeer-review

  49. Published

    Random Private Quantum States

    Christandl, Matthias, Ferrara, R. & Lancien, C., 2020, In: IEEE Transactions on Information Theory. 66, 7, p. 4621-4640

    Research output: Contribution to journalJournal articleResearchpeer-review

  50. Published

    One-and-a-half quantum de Finetti theorems

    Christandl, Matthias, Koenig, R., Mitchison, G. & Renner, R., Jul 2007, In: Communications in Mathematical Physics. 273, 2, p. 473-498

    Research output: Contribution to journalJournal articleResearchpeer-review