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Faculty of Mathematics

 

Career

  • 2018: Annales Henri Poincaré-Birkhauser Prize
  • 2017-today: Draper's Company Junior Research Fellow, Pembroke College, University of Cambridge
  • 2017: EPSRC Doctoral Price Award
  • April-June 2016 and July-August 2017: Visiting Student Researcher, California Institute of Technology
  • 2015-today: Honorary Research Assistant, University College London
  • 2014-2017: PhD in Quantum Information, DAMTP, St John's College, University of Cambridge
  • 2012-2013: MASt in Pure Mathematics and Theoretical Physics, DPMMS, St John's College, University of Cambridge
  • 2011-2012: Cornell-Heidelberg fellow, Physics, Cornell University
  • 2008-2011: BSc in Physics, University of Heidelberg

Research Interest

I am researching the interplay between quantum mechanics and information theory, such as Hamiltonian complexity and quantum channel divisibility. I am particularly interested in the local Hamiltonian problem and related topics in condensed matter physics, and how systems described by local interactions are able to perform universal computation. My general interest ranges from quantum and high energy physics to pure mathematics, analysis and probability, as well as computer science, especially algorithms, machine learning, and simulations. Together with Toby Cubitt and Maris Ozols we were awarded the AHP-Birkhauser Prize for our work on the complexity of one-dimensional spin systems.

I also like neural networks and won the 2nd price in Microsoft's Quantum Challenge with a quantum data classifier, as well as an AI Grant for the search for new error correcting codes. I have worked extensively with torch and tensorflow; as well as the quantum computing frameworks by Rigetti (forest), Google (cirq) and IBM (qiskit). One of my favourite hobbys has always been programming, and I claim professional-level coding skills in python, javascript, and C++17.

I'm always happy to chat about research. For any questions just reach out by e-mail.

 

Publications and Preprints

Invited Talks and Lectures

  • QNLP 2019 Oxford (invited talk). A Quantum Search Decoder for Natural Language Processing
    https://www.youtube.com/watch?v=b0HHeIGLoMQ
  • QuID 2019 ETH Zürich, Switzerland (invited lecture). Quantum Machine Learning
  • Open Source Quantum Computing 2019 ETH Zürich (invited lecture). Quantum Maximum Finding
  • 22nd Symposium on Quantum Information University of Leeds (invited talk). Undecidability of the Spectral Gap in 1D
  • QuID 2018 ETH Zürich, Switzerland (invited lecture). Principles of Quantum Algorithms
  • Heilbronn and QALGO Quantum Algorithms Meeting 2016 in Cambridge, UK: The Complexity of Translationally Invariant Spin Chains with Low Dimension.

Conference Presentations

  • QIP 2020 in Shenzen, China: Error Thresholds for Arbitrary Pauli Noise
  • QIP 2020 in Shenzen, China: Uncomputability of Phase Diagrams
  • QIP 2019 in Boulder, CO: Undecidability of the Spectral Gap in 1D
    https://www.youtube.com/watch?v=87upHhaZoes
  • QTML 2017 in Verona, Italy. Quantum Neural Networks: a Hamiltonian Complexity Approach
    https://www.youtube.com/watch?v=j3IKQWJX-GI
  • QIP 2016 in Banff, Canada: The Complexity of Translationally Invariant Spin Chains with Low Local Dimension.
    https://www.youtube.com/watch?v=pFtd3dKSk0A
  • AQIS 2015 in Seoul, South Korea: The Complexity of Divisibility. Joint work with Toby Cubitt.
  • QIPC 2015 in Leeds, UK: The Complexity of Divisibility.
  • Further invited talks at group meetings and seminars at UCL (2015 and 2019), Universidad Complutense de Madrid (2015 and 2018), QCI University of Bristol (2016), IQI Caltech (2016, 2018 and 2019), Heidelberg (2017), QuSoft Amsterdam (2018), UC Boulder (2018) QuICS University of Maryland/College Park (2018), TCM Cavendish/Cambridge (2019), CQuIC University of New Mexico (2019), IBM Research Zürich (2019)

Posters

  • QIP 2015 in Sydney, Australia: The Complexity of Divisibility.
    download
  • Microsoft Faculty Summit 2016 in Seattle, USA: Quantum Neural Networks: a Hamiltonian Complexity Approach
    download
  • YQIS 2016 in Barcelona, Spain, and QIP 2017 in Seattle, USA: The Complexity of Low-Dimensional Spin Lattices in 3D
    download
  • QIP 2017 in Seattle, USA: Size Driven Quantum Phase Transitions  BEST POSTER AWARD
    download
  • QIP 2017 in Seattle, USA: Increasing the Quantum UNSAT Penalty
    download
  • QIP 2019 in Boulder, USA: Perturbation Gadgets: Arbitrary Energy Scales from a Single Strong Interaction
  • QIP 2019 in Boulder, USA: Quantum Codes from Neural Networks
  • SQuInT 2019 in Albuquerque, USA: Quantum Codes from Neural Networks  BEST POSTER AWARD
  • QIP 2020 in Shenzen, China: Error Thresholds for Arbitrary Pauli Noise

Publications

Classifying data using near-term quantum devices
J Bausch
– Int. J. Quantum Inf. 1840001 (2018)
(2018)
16,
1840001
Analysis and limitations of modified circuit-to-Hamiltonian constructions
J Bausch, E Crosson
– Quantum
(2018)
2,
94
Size-driven quantum phase transitions
J Bausch, TS Cubitt, A Lucia, D Perez-Garcia, MM Wolf
– Proceedings of the National Academy of Sciences
(2018)
115,
19
The Complexity of Translationally-Invariant Spin Chains with Low Local Dimension.
J Bausch, T Cubitt, M Ozols
– Ann. Henri Poincar\'e (2017) 18(11), 3449-3513
(2017)
18,
3449
The complexity of translationally-invariant low-dimensional spin lattices in 3D
J Bausch, S Piddock
– Journal of Mathematical Physics
(2017)
58,
111901
The complexity of divisibility
J Bausch, T Cubitt
– Linear Algebra and its Applications
(2016)
504,
64
On the efficient calculation of a linear combination of chi-square random variables with an application in counting string vacua
J Bausch
– Journal of Physics A: Mathematical and Theoretical
(2013)
46,
505202
Quantum Codes from Neural Networks
J Bausch, F Leditzky
Perturbation Gadgets: Arbitrary Energy Scales from a Single Strong Interaction
J Bausch
Undecidability of the Spectral Gap in One Dimension
J Bausch, T Cubitt, A Lucia, D Perez-Garcia
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Research Group

Centre for Quantum Information and Foundations

Room

FL.07

Telephone

01223 760367