Alessandra Bernardi
Prof. Associato

Quantum Information, Algebra and Geometry Workgroup

Who we are

We were born in 2016 as a cycle of interdisciplinary meetings in which we try to lay the foundations for a common language between Geometry, Algebra, Analysis and Physics starting from Quantum Information.

This is the mailinglist of the workgroup.

Form June 2018 we are part of the Q@TN initiative.

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Organizers

Alessandra Bernardi (Department of Mathematics)
Iacopo Carusotto (CNR)

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WE MOOVED ON A NEW WEBSITE: https://qi-geo-alg.maths.unitn.it/

Edition 2020-2021

The meetings will be every 3 Wednesday at 11:30.

For who will come in presence: we will meet in the romm -1 at the Mathematical Departhemt.
For who want to follow from remote we will connect by zoom.
In any case, who is interested in participating, please write to alessandra.bernardi@unitn.it : In the first case we need to count how many we are in presence in order to respect the Covid restrictions; In the second case you will get the zoom credential to connect to the meeting.

  • [23/09/2020] Tim Seyennaeve (Bern): A tensor version of the quantum Wielandt theorem.

Edition 2018/2019

  • 29/5/2019, Giovanni Garberoglio: TBA
  • 8/5/2019, Alessandra Bernardi: Uniform Matrix Product States: A mathematical point of view.
  • 17/4/2019, Iacopo Carusotto: Dissipation as a resource to generate entagled states of light.
  • 3/4/2019, Francesco Pederiva: Is it possible to tame irreversible quantum operations?

EDITION 2017/2018

  • 17/11/2017: Francesco Pederiva:  Computer quantistici basati su circuit-QED.
    https://quantumexperience.ng.bluemix.net/qx/experience
  • 1/12/2017: Elia Macaluso e Alessandra Bernardi: Un po' di matematica per i tensor network.
  • 11/12/2107: Roberto Sebastiani: Solving SAT and MaxSAT with a Quantum Annealer: Foundations and Preliminary Report. (Organized by Massimiliano Sala).
  • 26/1/2018: Ivan Amelio: Quantum computation: some key ingredients in a standard example.
  • 16/2/2018: Davide Pastorello: An overview on Adiabatic Quantum Computing.
  • 2/3/2018: Iacopo Carusotto: A few steps from cluster states towards one way quantum computing (Part 1).
  • 14/3/2018: Edoardo Ballico: Grover's algorithm, secant varieties and a measure of entanglement (Geometric Measure of Entanglement) (Holweck, Rossi-Bruss-Machiavello and co.).
  • 28/3/2018: Luca Dellantonio:
    1. Quantum nondemolition measurement of mechanical motion quanta
    2. High dimensional mdi-QKD on 2D subspaces (organized with Davide Pastorello)
  • 13/04/2018: Francesco Pederiva: Hamiltonian Engineering: qualche aspetto (sparso) sulla teoria del controllo”.
  • 9/5/18: Alessio Recati: Basics on entanglement of quantum states.
  • 23/05/2018:
    1. Giorgio Cartechini: Characterization of a quantum random number generator based on superposition principle
    2. Rocco Mora: Quantum Shor Algorithm
  • 6/6/2018: Iacopo Carusotto: "The superconducting qubit platform at Google Labs and the Google quantum innovation award: let's brainstorm all together!"
  • 20/6/2018: Giovanni Garberoglio: Applicazioni del machine learning alla meccanica quantistica (https://arxiv.org/abs/1606.02318).
  • 4/7/2018: Fulvio Gesmundo (QMATH University of Copenhagen): SLOCC transformations, tensor degeneration and Strassen's asymptotic rank conjecture.

EDITION 2016/2017

6/10/2016: Davide Pastorello, Fondamenti di meccanica quantistica in dimensione finita con introduzione all'entanglement.

20/10/2016: Davide Pastorello, Un'introduzione all'entanglement.

10/11/2016: Iacopo Carusotto, Paradossi e misteri legati all'entanglement.
Notes: http://www.science.unitn.it/~carusott/lecture_entanglement.pdf

17/11/2016: Alessandro Tomasi. Qubits: computing with probability.
Slides: https://me.unitn.it/system/files/Bernardi%20Alessandra/qubits_20161117_0.pdf

1/12/2016: Edoardo Ballico. Schmidt Rank.

15/12/2016: Luis Sola Conde. Tensor Network States.

19/01/2017: Giovanni Garberoglio: Second sortie in the qubit arena.

16/02/2017: Alessandra Bernardi: SLOCC e orbite di gruppi.

01/03/2017: Edoardo Ballico: Da Shannon fro Dummies a Schumacher for Dummies.

17/03/2017: Iacopo Carusotto: Quel poco che ho capito della classificazione dell'entanglement via SLOCC.

31/3/2017: Alessandro Tomasi Quantum error correction.
Slides: qecc_20170331_0.pdf

21/4/2017: Francesco Pederiva. First steps into quantum probability theory.

Bibliography

  1. Aharonov et al. SIAM J. Computing 37 (2007)
  2. Albash et al. Rev. Mod. Phys. 20 (2014)
  3. C.H. Bennet, S. Popescu, D. Rohrlich, J.A. Smolin, A.V. Thapliyal, Exact and Asymptotic Measures of Multipartite Pure State Entanglement, Physical Review A 63(1), 1999.
  4. Briegel and Raussendorf, Phys Rev Lett 86, 910 (2001)
  5. Draisma, Ottaviani, Tocino,  Best rank-k approximations for tensors: generalizing Eckart-Young, arXiv:1711.06443
  6. W. Dür, G. Vidal, J.I. Cirac, Three qubits can be entangled in two inequivalent ways. Physical Review A 62(6), 2000.
  7. Farhi et al, Science 292 (2001)
  8. R. Feynman, QED. D.F. Walls, Gerard J. Milburn, Quantum Optics.V. Scarani, Quantum information: primitive notions and quantum correlations, IN Ultracold Gases and Quantum Information: Lecture Notes of the Les Houches Summer School in Singapore: Volume 91, July 2009.
  9. F. Holweck, J,-G. Luque, J.-Y. Thibon, Geometric description of entangled states by auxiliary varieties. Journal of Mathematical Physics 53, 102203 (2012).
  10. Kitaev, A. Yu.; Shen, A. H.; Vyalyi, M. N., Classical and quantum computation, Translated from the 1999 Russian original by Lester J. Senechal. Graduate Studies in Mathematics, 47. American Mathematical Society, Providence, RI, 2002. xiv+257.
  11. Jansen et al. J. Math Phys. 48 (2007)
  12. J. M. Landsberg, Tensors: geometry and applications. Graduate Studies in Mathematics, 128. American Mathematical Society, Providence, RI, 2012. xx+439 pp.
  13. Landsberg, Qi, Ye, On the geometry of tensor network states, Journal Quantum Information & Computation archive Volume 12 Issue 3-4, March 2012, Pages 346-354 .
  14. Landsberg,  New Lower Bounds for the Rank of Matrix Multiplication, SIAM J. Comput., 43(1), 144–149. (6 pages).
  15. Christian Miniatura, Leong-Chuan Kwek, Martial Ducloy, Benoît Grémaud, Berthold-Georg Englert, Leticia Cugliandolo, Artur Ekert, and Kok Khoo Phua.
  16. S. Olivares Notes, Quantum lower bounds by quantum arguments, A. Ambainis (2000).
  17. R. Orús, A practical introduction to tensor networks: Matrix product states and projected entangles pair states, Annals of Physics, 349 (2014), 117--158.
  18. D. Pastorello, A Mathematical introduction to quantum information theory, (Available here).
  19. J. Preskill,  Lecture notes on Quantum Information Theory (http://www.theory.caltech.edu/~preskill/ph229/#lecture).
  20. Raussendorf and Briegel, PRL 86, 5188 (2001)

Attachments

PDF icon Slides del seminario di Alessandro Tomasi del 17/11/16
PDF icon Slides del seminario di Alessandro Tomasi del 31/3/2017