Group Publications

The list contains publications by the group since it was first established in 2012. For individual publication lists, please refer to the our respective personal sites.

2018

  1. Experimental Entanglement of Temporal Orders
    G. Rubino, L.A. Rozema, F. Massa, M. Araujo, M. Zych, C. Brukner, P. Walther
    arXiv:1712.06884
  2. Complete homotopy invariants for translation symmetric quantum walks on a chain
    C. Cedzich, T. Geib. C. Stahl, L. Velazquez, A.H. Werner, R.F. Werner
    Quantum 2, 95 (2018)
  3. Real Randomized Benchmarking
    A.K. Hashagen, S.T. Flammia, D. Gross, J.J. Wallman
    arXiv:1801.06121
  4. Robustness of Magic and Symmetries of the Stabilizer Polytope
    M. Heinrich, D. Gross
    Quantum 3, 132 (2019)
  5. Quantum Walks in External Gauge Fields
    C. Cedzich, T. Geib, A.H. Werner, R.F. Werner
    arXiv:1808.10850
  6. Recovering quantum gates from few average gate fidelities
    I. Roth, R. Kueng, S. Kimmel, Y.-K. Liu, D.Gross, J. Eisert, M. Kliesch
    arXiv:1803.00572
  7. Probability in Two Deterministic Universes
    M. Araujo
    arXiv:1805.01753
  8. Computational tools for solving a marginal problem with applications in Bell non-locality and causal modeling
    T. Glaessle, D. Gross, R. Chaves
    arXiv:1805.03313
  9. Generalized Pauli Constraints in Small Atoms
    C. Schilling, M. Altunbulak, S. Knecht, A. Lopes, J.D. Whitfield, M. Christandl, D. Gross, M. Reiher
    Physical Review A 97, 052503 (2018)
  10. Fully Quantum Fluctuation Theorems
    J. Aberg
    Physical Review X 8, 011019 (2018)

2017

  1. Quantum Computation with Indefinite Causal Structures
    M. Araujo, P.A. Guerin, Amin Baumeler
    Physical Review A 96, 052315 (2017)
  2. A purification postulate for quantum mechanics with indefinite causal order
    M. Araujo, A. Feix, M. Navascues, C. Brukner
    Quantum 1, 10 (2017)
  3. mpnum: A matrix product representation library for Pyhton
    D. Suess, M. Holzäpfel
    Journal of Open Source Software, 2(20), 465 (2017)
  4. Schur-Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations
    D. Gross, S. Nezami, M. Walter
    arXiv:1712.08628
  5. From estimation of quantum probabilities to simulation of quantum circuits
    H. Pashayan, S. D. Bartlett, D. Gross
    arXiv:1712.02806
  6. On products of Gaussian random variables
    Ž. Stojanac, D. Suess, M. Kliesch
    arXiv:1711.10516
  7. On the distribution of a product of N Gaussian random variables
    Ž. Stojanac, D. Suess, M. Kliesch
    Proceedings Volume 10394, Wavelets and Sparsity XVII; 1039419 (2017)
  8. Guaranteed recovery of quantum processes from few measurements
    M. Kliesch, R. Kueng, J. Eisert, D. Gross
    arXiv:1701.03135
  9. Semidefinite tests for latent causal structures
    A. Kela, K. von Prillwitz, J. Aberg, R. Chaves, D. Gross
    arXiv:1701.00652
  10. Experimental quantum compressed sensing for a seven-qubit system
    C. A. Riofrio, D. Gross, S. T. Flammia, T. Monz, D. Nigg, R. Blatt, J. Eisert
    Nature Comm. 8, 15305 (2017); (arXiv pre-print)
  11. Improved Recovery Guarantees for Phase Retrieval from Coded Diffraction Patterns
    D. Gross, F. Krahmer, R. Kueng
    Applied and Computational Harmonic Analysis 42, 37 (2017); (arXiv pre-print)

2016

  1. Introducing the Qplex: A Novel Arena for Quantum Theory
    M. Appleby, C. A. Fuchs, B. C. Stacey, H. Zhu
    arXiv:1612.03234
  2. Note on the saturation of the norm inequalities between diamond and nuclear norm
    U. Michel, M. Kliesch, R. Kueng, D. Gross
    arXiv:1612.07931
  3. Multi-partite entanglement
    M. Walter, D. Gross, J. Eisert
    arXiv:1612.02437
  4. Low rank matrix recovery from Clifford orbits
    R. Kueng, H. Zhu, D. Gross
    arXiv:1610.08070
  5. Experimental non-locality in a quantum network
    G. Carvacho, F. Andreoli, L. Santodonato, M. Bentivegna, R. Chaves, F. Sciarrino
    arXiv:1610.03327
  6. Distinguishing quantum states using Clifford orbits
    R. Kueng, H. Zhu, D. Gross
    arXiv:1609.08595
  7. The Clifford group fails gracefully to be a unitary 4-design
    H. Zhu, R. Kueng, M. Grassl, D. Gross
    arXiv:1609.08172
  8. Explaining quantum correlations through evolution of causal models
    R. Harper, R. J. Chapman, C. Ferrie, C. Granade, R. Kueng, D. Naoumenko, S. T. Flammia, A. Peruzzo
    arXiv:1608.03281
  9. Error regions in quantum state tomography: computational complexity caused by geometry of quantum states
    D. Suess, L. Rudnicki, T.O. Maciel, D. Gross
    New J. Phys. 19 093013 (2017); (arXiv:1608:00374)
  10. Bell scenarios with communication
    J. B. Brask, R. Chaves
    arXiv:1607.08182
  11. Causal hierarchy of multipartite Bell nonlocality
    R. Chaves, D. Cavalcanti, L. Aolita
    arXiv:1607.07666
  12. Quasiprobability representations of quantum mechanics with minimal negativity
    H. Zhu
    arXiv:1604.06974
  13. Robust Nonnegative Sparse Recovery and the Nullspace Property of 0/1 Measurements
    R. Kueng, P. Jung
    arXiv:1603.07997
  14. Nonlinear Schrödinger equation from generalized exact uncertainty principle
    Ł. Rudnicki
    arXiv:1602.05004
  15. Fully quantum fluctuation theorems
    J. Aberg
    arXiv:1601.01302
  16. Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario
    Q. Quan, H. Zhu, H. Fan, W.-L. Yang
    arXiv:1601.00962
  17. Indistinguishability of causal relations from limited marginals
    C. Budroni, N. Miklin, R. Chaves
    Phys. Rev. A 94, 042127 (2016); (arXiv pre-print)
  18. Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference
    D. Janzing, R. Chaves, B. Schoelkopf
    New J. Phys. 18, 093052 (2016); (arXiv pre-print)
  19. Experimental Test of Nonlocal Causality
    M. Ringbauer, C. Giarmatzi, R. Chaves, F. Costa, A. G. White, A. Fedrizzi
    Science Advances, Vol. 2, no. 8, e1600162 (2016); (arXiv pre-print)
  20. Comparing Experiments to the Fault-Tolerance Threshold
    R. Kueng, D. M. Long, A. C. Doherty, S. T. Flammia
    Phys. Rev. Lett. 117, 170502 (2016); (arXiv pre-print)
  21. Entropic nonsignaling correlations
    R. Chaves, C. Budroni
    Phys. Rev. Lett. 116, 240501 (2016); (arXiv pre-print)
  22. Stable low-rank matrix recovery via null space properties
    M. Kabanava, R. Kueng, H. Rauhut, U. Terstiege
    To appear in Information and Inference (2016); (arXiv pre-print)
  23. Improving compressed sensing with the diamond norm
    M. Kliesch, R. Kueng, J. Eisert, D. Gross
    IEEE Trans. Inf. Th. 62, 7445 (2016); (arXiv pre-print)
  24. Steering Bell-diagonal states
    Q. Quan, H. Zhu, S.-Y. Liu, S.-M. Fei, H. Fan, W.-L. Yang
    Sci. Rep. 6, 22025 (2016); (arXiv pre-print)
  25. Uncertainty relations for characteristic functions
    Łukasz Rudnicki, D. S. Tasca, S. P. Walborn
    Phys. Rev. A 93, 022109 (2016); (arXiv pre-print)
  26. Universal steering inequalities
    H. Zhu, M. Hayashi, L. Chen
    Phys. Rev. Lett. 116, 070403 (2016); (arXiv pre-print)
  27. Permutation Symmetry Determines the Discrete Wigner Function
    H. Zhu
    Phys. Rev. Lett. 116, 040501 (2016); (arXiv pre-print)
  28. Polynomial Bell inequalities
    R. Chaves
    Phys. Rev. Lett. 116, 010402 (2016); (arXiv pre-print)
  29. Monotone Measures of Statistical Complexity
    Ł. Rudnicki, I. V. Toranzo, P. Sánchez-Moreno, J. S. Dehesa
    Phys. Lett. A 380, 377 (2016); (arXiv pre-print)

2015

  1. Qubit stabilizer states are complex projective 3-designs
    R. Kueng, D. Gross
    arXiv:1510.02767
  2. Multiqubit Clifford groups are unitary 3-designs
    H. Zhu
    arXiv:1510.02619
  3. Testing for entanglement with periodic images
    D. S. Tasca, Łukasz Rudnicki, R. S. Aspden, M. J. Padgett, P. H. S. Ribeiro, S. P. Walborn
    arXiv:1506.01095
  4. Uncertainty Quantification for Matrix Compressed Sensing and Quantum Tomography Problems
    A. Carpentier, J. Eisert, D. Gross, R. Nickl
    arXiv:1504.03234
  5. Near-optimal quantum tomography: estimators and bounds
    R. Kueng, C. Ferrie
    New J. Phys. 17 (2015) 123013; (arXiv pre-print)
  6. Certainty Relations, Mutual Entanglement, and Nondisplaceable Manifolds
    Z. Puchała, Ł. Rudnicki, K. Chabuda, M. Paraniak, K Życzkowski
    Phys. Rev. A 92, 032109 (2015); (arXiv pre-print)
  7. Contrast in Multipath Interference and Quantum Coherence
    K. von Prillwitz, Ł. Rudnicki, F. Mintert
    Phys. Rev. A 92, 052114 (2015); (arXiv pre-print)
  8. Device-Independent Tests of Entropy
    R. Chaves, J. B. Brask, N. Brunner
    Phys. Rev. Lett. 115, 110501 (2015); (arXiv pre-print)
  9. Improved Quantum Magnetometry beyond the Standard Quantum Limit
    J. B. Brask, R. Chaves, J. Kolodynski
    Phys. Rev. X 5, 031010 (2015); (arXiv pre-print)
  10. Hierarchical equations for open system dynamics in fermionic and bosonic environments
    D. Suess, W. T. Strunz, A. Eisfeld
    Journal of Statistical Physics 159, 1408 (2015); (arXiv pre-print)
  11. Majorization approach to entropic uncertainty relations for coarse-grained observables
    L. Rudnicki
    Phys. Rev. A.91, 032123 (2015); (arXiv pre-print)
  12. A unifying framework for relaxations of the causal assumptions in Bell's theorem
    R. Chaves, R. Kueng, J. B. Brask, D. Gross
    Phys. Rev. Lett. 114, 140403 (2015); (arXiv pre-print)
  13. A Partial Derandomization of PhaseLift using Spherical Designs
    D. Gross, F. Krahmer, R. Kueng
    Journal of Fourier Analysis and Applications 21, 229 - 266 (2015); (arXiv pre-print)
  14. Information-Theoretic Implications of Quantum Causal Structures
    R. Chaves, C. Majenz, D. Gross
    Nature Communications 6, 5766 (2015); (arXiv pre-print)

2014

  1. Low rank matrix recovery from rank one measurements
    R. Kueng, H. Rauhut, U. Terstiege
    arXiv:1410.6913
  2. Simple approach for the two-terminal conductance through interacting clusters
    A. A. Lopes, R. G. Dias
    arXiv:1407.5922
  3. Eigenvalue Distributions of Reduced Density Matrices
    M. Christandl, B. Doran, S. Kousidis, M. Walter
    Commun. Math. Phys. 332, 1-52 (2014); (arXiv pre-print)
  4. Matrix product operators and states: NP-hardness and undecidability
    M. Kliesch, D. Gross, J. Eisert
    Phys. Rev. Lett. 113, 160503 (2014); (arXiv pre-print)
  5. Catalytic Coherence
    J. Aberg
    Phys. Rev. Lett. 113, 150402 (2014); (arXiv pre-print)
  6. Inferring latent structures via information inequalities
    R. Chaves, L. Luft, T. O. Maciel, D. Gross, D. Janzing, B. Schölkopf
    Proceedings of the 30th Conference on Uncertainty in Artificial Intelligence (UAI 2014), pp. 112 - 121, AUAI Press, 2014; (arXiv pre-print)
  7. Conductance through geometrically frustrated itinerant electronic systems
    A. A. Lopes, B. A. Z. António, R. G. Dias
    Phys. Rev. B 89, 235418 (2014); (arXiv pre-print)
  8. Experimental Comparison of Efficient Tomography Schemes for a Six-Qubit State
    C. Schwemmer, G. Toth, A. Niggebaum, T. Moroder, D. Gross, O. Gühne, H. Weinfurter
    Phys. Rev. Lett. 113, 040503 (2014); (arXiv pre-print)
  9. Linear-optical simulation of the cooling of a cluster-state Hamiltonian system
    G. H. Aguilar, T. Kolb, D. Cavalcanti, L. Aolita, R. Chaves, S. P. Walborn, P. H. S. Ribeiro
    Phys. Rev. Lett. 112, 160501 (2014); (arXiv pre-print)
  10. Detecting nonlocality of noisy multipartite states with the CHSH inequality
    R. Chaves, A. Acín, L. Aolita, D. Cavalcanti
    Phys. Rev. A 89, 042106 (2014); (arXiv pre-print)
  11. Causal structures from entropic information: Geometry and novel scenarios
    R. Chaves, L. Luft, D. Gross
    New J. Phys. 16, 043001 (2014); (arXiv pre-print)
  12. Nonlocality in sequential correlation scenarios
    R. Gallego, L. E. Würflinger, R. Chaves, A. Acín, M. Navascués
    New J. Phys. 16 (2014) 033037; (arXiv pre-print)
  13. Exploring the Local Orthogonality Principle
    A. B. Sainz, T. Fritz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, A. Acín
    Phys. Rev. A 89, 032117 (2014); (arXiv pre-print)
  14. RIPless compressed sensing from anisotropic measurements
    R. Kueng, D. Gross
    Linear Algebra and its Applications 441 (2014): 110-123; (arXiv pre-print)

2013

  1. The number of flags in finite vector spaces: Asymptotic normality and Mahonian statistics
    T. Bliem, S. Kousidis
    Journal of Algebraic Combinatorics 37 (2013), 361-380; (arXiv pre-print)
  2. Stabilizer information inequalities from phase space distributions
    D. Gross, M. Walter
    J. Math. Phys. 54 , 082201 (2013); (arXiv pre-print)
  3. Scalable reconstruction of density matrices
    T. Baumgratz, D. Gross, M. Cramer, M. B. Plenio
    Phys. Rev. Lett. 111, 020401 (2013); (arXiv pre-print)
  4. Pinning of Fermionic Occupation Numbers
    C. Schilling, D. Gross, M. Christandl
    Phys. Rev. Lett. 110, 040404 (2013); (arXiv pre-print)
  5. Transport through quantum rings
    B. A. Z. Antonio, A. A. Lopes, R. G. Dias
    European Journal of Physics, 34(4), 831 (2013); (arXiv pre-print)
  6. Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information
    M. Walter, B. Doran, D. Gross, M. Christandl
    Science, vol. 340, no. 6137, pp. 1205-1208 (2013); (arXiv pre-print)
  7. Noisy metrology beyond the standard quantum limit
    R. Chaves, J. B. Brask, M. Markiewicz, J. Kolodynski, A. Acin
    Phys. Rev. Lett. 111, 120401 (2013); (arXiv pre-print)
  8. Local orthogonality as a multipartite principle for quantum correlations
    T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, A. Acín
    Nature Communications 4, 2263 (2013); (arXiv pre-print)
  9. Testing nonlocality of a single photon without a shared reference frame
    J. B. Brask, R. Chaves, N. Brunner
    Phys. Rev. A 88, 012111 (2013); (arXiv pre-print)
  10. Entropic inequalities as a necessary and sufficient condition to noncontextuality and locality
    R. Chaves
    Phys. Rev. A 87, 022102 (2013); (arXiv pre-print)
  11. Focus on Quantum Tomogrpahy
    K. Banaszek, M. Cramer, D. Gross
    New J. Phys. 15, 125020 (2013)
  12. Entropic Inequalities and Marginal Problems
    T. Fritz, R. Chaves
    IEEE Trans. on Information Theory, vol. 59, pages 803 - 817 (2013); (arXiv pre-print)
  13. Truly work-like work extraction
    J. Aberg
    Nature Communications 4, 1925 (2013); (arXiv pre-print)
  14. Directed quantum communication
    J. Aberg, S. Hengl, R. Renner
    New J. Phys. 15 (2013) 033025; (arXiv pre-print)

2012

  1. Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
    S. T. Flammia, D. Gross, Y.-K. Liu, J. Eisert
    New J. Phys. 14, 095022 (2012); (arXiv pre-print)
  2. Negative Quasi-Probability as a Resource for Quantum Computation
    V. Veitch, C. Ferrie, D. Gross, J. Emerson
    New J. Phys. 14, 113011 (2012); (arXiv pre-print)
  3. Index theory of one dimensional quantum walks and cellular automata
    D. Gross, V. Nesme, H. Vogts, R. F. Werner
    Commun. Math. Phys. 310, 419-454 (2012); (arXiv pre-print)