Career
 2017today: Draper's Company Junior Research Fellow, Pembroke College, University of Cambridge
 2017: EPSRC Doctoral Price Award
 AprilJune 2016 and JulyAugust 2017: Visiting Student Researcher, California Institute of Technology
 2015today: Honorary Research Assistant, University College London
 20142017: PhD in Quantum Information, DAMTP, St John's College, University of Cambridge
 20122013: MASt in Pure Mathematics and Theoretical Physics, DPMMS, St John's College, University of Cambridge
 20112012: CornellHeidelberg fellow, Physics, Cornell University
 20082011: 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.
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.
Publications and Preprints

On the efficient calculation of a linear combination of chisquare random variables with an application in counting string vacua
Johannes Bausch 2013 J. Phys. A: Math. Theor. 46 505202 
The Complexity of Divisibility
Johannes Bausch, Toby Cubitt 2016 Linear Algebra Appl. 504 64–72 
The Complexity of TranslationallyInvariant Spin Chains with Low Local Dimension
Johannes Bausch, Toby Cubitt, Maris Ozols 2016 Annales Henri Poincaré 18 3449

Undecidability of the Spectral Gap
Johannes Bausch 2016 XRDS: Crossroads, The ACM Magazine for Students  Quantum Computing: 23 Issue 1 (Invited article for a general audience) 
SizeDriven Quantum Phase Transitions
Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David PerezGarcia, Michael M. Wolf 2017 PNAS 115(1) 19–23 
The Complexity of TranslationallyInvariant LowDimensional Spin Lattices in 3D
Johannes Bausch, Stephen Piddock 2017 J. Math. Phys. 58 111901 
Increasing the quantum UNSAT penalty of the circuittoHamiltonian construction
Johannes Bausch, Elizabeth Crosson 2018 Quantum 2

Classifying Data using NearTerm Quantum Devices
Johannes Bausch 2018 Int. J. Quantum Inf. 1840001 
Undecidability of the Spectral Gap in One Dimension
Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David PerezGarcia 2018 
Quantum Codes from Neural Networks
Johannes Bausch, Felix Leditzky 2018 
Perturbation Gadgets: Arbitrary Energy Scales from a Single Strong Interaction
Johannes Bausch, 2018
Invited Talks and Conference Presentations
 QuID 2018 in Zürich, Italy (invited lecture). Principles of Quantum Algorithms
 QTML 2017 in Verona, Italy. Quantum Neural Networks: a Hamiltonian Complexity Approach
 STRUCTURES, June 2017, in Heidelberg (invited talk): The Complexity of Translationally Invariant Spin Systems with Low Dimension. Joint work with Toby Cubitt, Maris Ozols, Stephen Piddock, and Elizabeth Crosson.
 Heilbronn and QALGO Quantum Algorithms Meeting 2016 in Cambridge, UK: The Complexity of Translationally Invariant Spin Chains with Low Dimension. Joint work with Toby Cubitt and Maris Ozols.
 QIP 2016 in Banff, Canada: The Complexity of Translationally Invariant Spin Chains with Low Local Dimension.
 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), Universidad Complutense de Madrid (2015 and 2018), University of Bristol (2016), Caltech (2016), Heidelberg (2017), and Amsterdam (2018).
Posters

QIP 2015 in Sydney, Australia: The Complexity of Divisibility.
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Microsoft Faculty Summit 2016 in Seattle, USA: Quantum Neural Networks: a Hamiltonian Complexity Approach
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YQIS 2016 in Barcelona, Spain, and QIP 2017 in Seattle, USA: The Complexity of LowDimensional Spin Lattices in 3D
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QIP 2017 in Seattle, USA: Size Driven Quantum Phase Transitions BEST POSTER AWARD
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QIP 2017 in Seattle, USA: Increasing the Quantum UNSAT Penalty
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Publications
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