Home > Research > Researchers > Dr Robin Hillier > Publications

Dr Robin Hillier

Senior Lecturer in Pure Mathematics

  1. Published

    Distinguishing decoherence from alternative quantum theories by dynamical decoupling

    Arenz, C., Hillier, R., Fraas, M. & Burgarth, D., 08/2015, In: Physical review a. 92, 8, 7 p., 022102.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  2. Published

    Dynamical decoupling and homogenization of continuous variable systems

    Arenz, C., Burgarth, D. & Hillier, R. O., 3/03/2017, In: Journal of Physics A: Mathematical and Theoretical. 50, 13, 17 p., 135303.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  3. Published

    Dynamical decoupling of unbounded Hamiltonians

    Arenz, C., Burgarth, D., Facchi, P. & Hillier, R. O., 20/03/2018, In: Journal of Mathematical Physics. 59, 3, 16 p., 032203.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  4. Published

    Roots of completely positive maps

    Bhat, B. V. R., Hillier, R., Mallick, N. & U., V. K., 15/02/2020, In: Linear Algebra and its Applications. 587, p. 143-165 23 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  5. Published

    Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses

    Burgarth, D., Facchi, P., Fraas, M. & Hillier, R., 10/08/2021, In: SciPost Physics. 11, 15 p., 027.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  6. Published

    Control of quantum noise: on the role of dilations

    Burgarth, D., Facchi, P. & Hillier, R., 31/01/2023, In: Annales Henri Poincaré. 24, 1, p. 325-347 23 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  7. Published

    Stability and convergence of dynamical decoupling with finite amplitude controls

    Burgarth, D., Facchi, P. & Hillier, R., 30/11/2022, In: Journal of Mathematical Physics. 63, 11, 14 p., 112206.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  8. Forthcoming

    Taming the rotating wave approximation

    Burgarth, D., Facchi, P., Hillier, R. & Ligabo, M., 11/01/2024, (Accepted/In press) In: Quantum.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  9. Published

    Spectral triples and the super-Virasoro algebra

    Carpi, S., Hillier, R., Kawahigashi, Y. & Longo, R., 04/2010, In: Communications in Mathematical Physics. 295, 1, p. 71-97 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. Published

    Representations of conformal nets, universal C*-algebras and K-theory

    Carpi, S., Conti, R., Hillier, R. & Weiner, M., 05/2013, In: Communications in Mathematical Physics. 320, 1, p. 275-300 26 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  11. Published

    Conformal nets and KK-theory

    Carpi, S., Conti, R. & Hillier, R., 01/2013, In: Annals of Functional Analysis. 4, 1, p. 11-17 7 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  12. Published

    N = 2 superconformal nets

    Carpi, S., Hillier, R., Kawahigashi, Y., Longo, R. & Xu, F., 06/2015, In: Communications in Mathematical Physics. 336, 3, p. 1285-1328 44 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  13. Published

    Superconformal nets and noncommutative geometry

    Carpi, S., Hillier, R. & Longo, R., 2015, In: Journal of Noncommutative Geometry. 9, 2, p. 391-445 55 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  14. Published

    Loop groups and noncommutative geometry

    Carpi, S. & Hillier, R. O., 10/2017, In: Reviews in Mathematical Physics. 29, 9, 42 p., 1750029.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  15. Published

    Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models

    Carpi, S., Gaudio, T. & Hillier, R., 20/09/2019, In: Journal of Mathematical Physics. 60, 9, 21 p., 093505.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  16. Published

    Haploid Algebras in C∗ -Tensor Categories and the Schellekens List

    Carpi, S., Gaudio, T., Giorgetti, L. & Hillier, R., 31/08/2023, In: Communications in Mathematical Physics. 402, 1, p. 169-212 44 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  17. Published

    Super-KMS functionals for graded-local conformal nets

    Hillier, R., 08/2015, In: Annales Henri Poincaré. 16, 8, p. 1899–1936 38 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  18. Published

    Local-entire cyclic cocycles for graded quantum field nets

    Hillier, R., 03/2014, In: Letters in Mathematical Physics. 104, 3, p. 271-298 28 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  19. Published

    A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence

    Hillier, R., Arenz, C. & Burgarth, D., 17/04/2015, In: Journal of Physics A: Mathematical and Theoretical. 48, 15, 27 p., 155301.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

Back to top