Theory of Complex Quantum Systems

Rudolf Mößbauer Tenure Track Professor Prof. Robert König has founded the Focus Group Theory of Complex Quantum Systems.

Quantum technologies can provide new information-processing primitives beyond those realizable based on classical physics only. As our ability to create, manipulate and measure quantum systems improves with increasing experimental sophistication, advancing our theoretical understanding of the potential of quantum information processing becomes highly relevant.

This Focus Group studies mathematical questions arising from operational considerations related to quantum systems. This includes fundamental primitives such as communication, cryptography and computation. Areas of emphasis are the design and assessment of suitable mechanisms for the fault-tolerant preparation, processing and readout of quantum information in many-body systems, as well as the estimation of capacities of quantum channels. New insights into the entanglement structure of systems with many degrees of freedom can in turn be applied to variational quantum physics and the development of simulation methods.

TUM-IAS funded doctoral candidates:
Stefan Huber, Theory of Complex Quantum Systems
Martina Gschwendtner, Theory of Complex Quantum Systems

Publications by the Focus Group

2019

  • Bluhm, Andreas; Stilck França, Daniel: Dimensionality reduction of SDPs through sketching. Linear Algebra and its Applications 563, 2019, 461-475 mehr…

2018

  • Bravyi, Sergey; Englbrecht, Matthias; König, Robert; Peard, Nolan: Correcting coherent errors with surface codes. npj Quantum Information 4 (1), 2018 mehr…
  • Bravyi, Sergey; Gosset, David; König, Robert: Quantum advantage with shallow circuits. Science 362 (6412), 2018, 308-311 mehr…
  • De Palma, Giacomo; Huber, Stefan: The conditional entropy power inequality for quantum additive noise channels. Journal of Mathematical Physics 59 (12), 2018, 122201 mehr…
  • França, D S; Hashagen, A K: Approximate randomized benchmarking for finite groups. Journal of Physics A: Mathematical and Theoretical 51 (39), 2018, 395302 mehr…
  • Huber, Stefan; König, Robert: Coherent state coding approaches the capacity of non-Gaussian bosonic channels. Journal of Physics A: Mathematical and Theoretical 51 (18), 2018, 184001 mehr…
  • Müller-Hermes, Alexander; Franca, Daniel Stilck: Sandwiched Rényi Convergence for Quantum Evolutions. Quantum 2, 2018, 55 mehr…
  • Stilck Franca, Daniel: Perfect sampling for quantum Gibbs states. Quantum Information and Computation 18 (5&6), 2018, 361-388 mehr…

2017

  • Hiai, Fumio; König, Robert; Tomamichel, Marco: Generalized Log-Majorization and Multivariate Trace Inequalities. Annales Henri Poincaré 18 (7), 2017, 2499-2521 mehr…
  • Hiai, Fumio; Mosonyi, Milán: Different quantum f-divergences and the reversibility of quantum operations. Reviews in Mathematical Physics 29 (07), 2017, 1750023 mehr…
  • Huber, Stefan; König, Robert; Vershynina, Anna: Geometric inequalities from phase space translations. Journal of Mathematical Physics 58 (1), 2017, 012206 mehr…
  • König, Robert; Scholz, Volkher B.: Matrix product approximations to conformal field theories. Nuclear Physics B 920, 2017, 32-121 mehr…
  • Martin Idel, Robert Koenig: On quantum additive Gaussian noise channels. 2017 mehr…
  • Mosonyi, Milán; Ogawa, Tomohiro: Strong Converse Exponent for Classical-Quantum Channel Coding. Communications in Mathematical Physics 355 (1), 2017, 373-426 mehr…

2016

  • Beverland, Michael E.; Buerschaper, Oliver; Koenig, Robert; Pastawski, Fernando; Preskill, John; Sijher, Sumit: Protected gates for topological quantum field theories. Journal of Mathematical Physics 57 (2), 2016, 022201 mehr…
  • Beverland, Michael E.; Buerschaper, Oliver; Koenig, Robert; Pastawski, Fernando; Preskill, John; Sijher, Sumit: Protected gates for topological quantum field theories. Journal of Mathematical Physics 57 (2), 2016, 022201 mehr…
  • Cooney, Tom; Mosonyi, Milán; Wilde, Mark M.: Strong Converse Exponents for a Quantum Channel Discrimination Problem and Quantum-Feedback-Assisted Communication. Communications in Mathematical Physics 344 (3), 2016, 797-829 mehr…
  • König, Robert; Scholz, Volkher B.: Matrix Product Approximations to Multipoint Functions in Two-Dimensional Conformal Field Theory. Physical Review Letters 117 (12), 2016 mehr…
  • Ni, Xiaotong; Pastawski, Fernando; Yoshida, Beni; König, Robert: Preparing topologically ordered states by Hamiltonian interpolation. New Journal of Physics 18 (9), 2016, 093027 mehr…

2015

  • Koenig, Robert: The conditional entropy power inequality for Gaussian quantum states. Journal of Mathematical Physics 56 (2), 2015, 022201 mehr…
  • Mosonyi, Milan; Ogawa, Tomohiro: Two Approaches to Obtain the Strong Converse Exponent of Quantum Hypothesis Testing for General Sequences of Quantum States. IEEE Transactions on Information Theory 61 (12), 2015, 6975-6994 mehr…