Markus Grassl
Status: Alumnus (data might not be up-to-date)

Former Senior Research Fellow
grassl@ira.uka.de

Preprints

  • Prabha Mandayam, Somshubhro Bandyopadhyay, M. Grassl, William K. Wootters. Unextendible Mutually Unbiased Bases from Pauli Classes.

Publications

  • M. Grassl, L. Kong, Z.H. Wei, Z. Yin, B. Zeng. (2018). Quantum Error-Correcting Codes for Qudit Amplitude Damping. IEEE Transactions on Information Theory
  • D. M. Appleby, Ingemar Bengtsson, Stephen Brierley, Åsa Ericsson, M. Grassl, Jan-Åke Larsson. (2014). Systems of Imprimitivity for the Clifford Group. Quantum Information and Computation 14 339-360
  • M. Grassl, Martin Roetteler. (2013). Nonadditive quantum codes. Quantum Error Correction, Cambridge University Press. (book chapter) 261-278
  • L. Chen, Dragomir Z. Djokovic, M. Grassl, Bei Zeng. (2013). Four-qubit pure states as fermionic states. Phys. Rev. A 88 052309
  • Yun-Jiang Wang, Bei Zeng, M. Grassl, Barry C. Sanders. (2013). Stabilizer formalism for generalized concatenated quantum codes. IEEE ISIT 529-533
  • Martianus Frederic Ezerman, M. Grassl. (2013). Asymmetric quantum codes detecting a single amplitude error. IEEE ISIT 922-926
  • M. Grassl, Martin Roetteler. (2013). Leveraging Automorphisms of Quantum Codes for Fault-Tolerant Quantum Computation. IEEE ISIT 534-538
  • D. M. Appleby, Ingemar Bengtsson, Stephen Brierley, M. Grassl, David Gross, Jan-Ake Larsson. (2012). The monomial representations of the Clifford group. Quantum Information and Computation 12 404-431
  • Martin Tomlinson, Mubarak Jibril, Cen Tjhai, M. Grassl, Mohammed Zaki Ahmed. (2012). New Binary Codes From Extended Goppa Codes. Designs, Codes and Cryptography
  • Jingfu Zhang, M. Grassl, Bei Zeng, Raymond Laflamme. (2012). Experimental implementation of a codeword-stabilized quantum code. Phys. Rev. A 85 062312
  • M. Grassl, Sunghyu Han. (2012). Computing Extensions of Linear Codes using a Greedy Algorithm. Proceedings of ISIT 1573-1577
  • M. Grassl, Peter Shor, Graeme Smith, John Smolin, Bei Zeng. (2012). New Constructions of Codes for Asymmetric Channels via Concatenation. Proceedings of ISIT 1573-1577
  • Cen J. Tjhai, Martin Tomlinson, M. Grassl. (2011). There Is No Binary [35, 10, 13] Code. IEEE Transactions on Information Theory 57 6094-6096
  • M. Grassl. (2011). Variations on Encoding Circuits for Stabilier Quantum Codes. IWCC
  • Salman Beigi, Isaac Chuang, M. Grassl, Peter Shor, Bei Zeng. (2011). Graph Concatenation for Quantum Codes. J. Math. Phys. 52 022201
  • F. Ezerman, M. Grassl, Patrick Solé. (2011). The Weights in MDS Codes. IEEE Transactions on Information Theory 57 392-396
  • Alejandro P. Nicolás, Consuelo Martí­nez, M. Grassl. (2011). Fully Ramified Characters and Clifford Codes. Communications in Algebra 39 100-115
  • M. Grassl, Zhengfeng Ji, Z.H. Wei, Bei Zeng. (2010). Quantum capacity approaching codes for the detected-jump channel. Phys. Rev. A 82 062324
  • M. Grassl, Ivana Ilic, Spyros Magliveras, Rainer Steinwandt. (2010). Cryptanalysis of the Tillich-Zémor hash function. Journal of Cryptology 24 148-156
  • Y.F. Li, I. Dumer, M. Grassl, L.P. Pryadko. (2010). Clustered Bounded-Distance Decoding of Codeword-Stabilized Quantum Codes. Proceedings of ISIT 2662-2666
  • M. Grassl, M. Rötteler. (2010). On encoders for quantum convolutional codes. Proc. IEEE ITW
  • T. Paterek, M. Paw?owski, M. Grassl, C. Brukner. (2010). On the connection between mutually unbiased bases and orthogonal Latin squares. Physica Scripta 140 014031
  • M. Grassl, Z. Ji, Z.H. Wei, B. Zeng. (2010). Quantum-capacity-approaching codes for the detected-jump channel. Phys. Rev. A 82 062324
  • A.J. Scott, M. Grassl. (2010). Symmetric informationally complete positive-operator-valued measures: A new computer study. J. Math. Phys. 51 042203
  • Y.F. Li, I. Dumer, M. Grassl, L.P. Pryadko. (2010). Structured error recovery for code-word-stabilized quantum codes. Phys. Rev. A 81 052327
  • R. Duan, M. Grassl, Z. Ji, B. Zeng. (2010). Multi-Error-Correcting Amplitude Damping Codes. Proceedings of ISIT 2672-2676
  • M. Grassl, T.A. Gulliver. (2009). On circulant self-dual codes over small fields. Designs, Codes and Cryptography 52 57-81
  • M. Grassl, R. Steinwandt. (2009). Cryptanalysis of an Authentication Scheme Using Truncated Polynomials. Inf. Proc. Lett 109 861-863
  • M. Grassl, P.W. Shor, B. Zeng. (2009). Generalized Concatenation for Quantum Codes. Proceedings of ISIT 953-957
  • M. Grassl, P. Shor, G. Smith, J. Smolin, B. Zeng. (2009). Generalized Concatenated Quantum Codes. Phys. Rev. A 79 050306
  • C. Tjhai, M. Tomlinson, M. Grassl. (2008). Chains of Cyclic Codes, Construction X and Incremental Redundancy. Proc. IEEE ITW 323-327
  • M. Grassl, M. Rötteler. (2008). Non-Additive Quantum Codes from Goethals and Preparata Codes. Proc. IEEE ITW 396-400
  • M. Grassl, M. Rötteler. (2008). Quantum Goethals-Preparata Codes. Proceedings of ISIT 300-304
  • M. Grassl. (2008). Computing Equiangular Lines in Complex Space. Proc. MMICS 17-19
  • R. Daskalov, M. Grassl. (2007). New cyclic and quasi-cyclic quaternary linear codes. OC 56-61
  • M. Grassl. (2007). Computing Extensions of Linear Codes. Proceedings of ISIT 476-480
  • S.A. Aly, M. Grassl, A. Klappenecker, M. Rötteler, P.K. Sarvepalli. (2007). Quantum Convolutional BCH Codes. Proc. CWIT 180-183
  • M. Grassl, M. Rötteler. (2007). Constructions of Quantum Convolutional Codes. Proceedings of ISIT 816-820
  • G.D. Forney Jr., M. Grassl, S. Guha. (2007). Convolutional and tail-biting quantum error-correcting codes. IEEE Transactions on Information Theory 53 865-880
  • G. White, M. Grassl. (2006). A New Minimum Weight Algorithm for Additive Codes. Proceedings of ISIT 1119-1123
  • C. Tjhai, M. Tomlinson, M. Grassl, R. Horan, M. Ahmed, M. Ambroze. (2006). New linear codes derived from binary cyclic codes of length 151. IEE Proc Comm 153 581-585
  • M. Grassl. (2006). Constructing Matrix Representations of Finite Groups in Characteristic Zero. Proc. RWCA 143-148
  • M. Grassl, M. Rötteler. (2006). Non-catastrophic Encoders and Encoder Inverses for Quantum Convolutional Codes. Proceedings of ISIT 1109-1113
  • T. Decker, M. Grassl. (2006). Implementation of generalized measurements with minimal disturbance on a quantum computer. Fortschritte der Physik 54 898-916
  • J.M. Renes, M. Grassl. (2006). Generalized decoding, effective channels, and simplified security proofs in quantum key distribution. Phys. Rev. A 74 022317
  • M. Grassl. (2006). Fehlerkorrektur fur Quantensysteme. it - Information Technology 48 354-358
  • M. Grassl, M. Rötteler. (2005). Quantum Block and Convolutional Codes from Self-orthogonal Product Codes. Proceedings of ISIT 1018-1022.
  • M. Grassl. (2005). Tomography of Quantum States in Small Dimensions. Electronic Notes in Discrete Mathematics 20 151-164
  • M. Grassl, G. White. (2004). New Codes from Chains of Quasi-cyclic Codes. Proceedings of ISIT 454
  • I. Bouyukliev, M. Grassl, Z. Varbanov. (2004). New bounds for n_4(k,d) and classification of some optimal codes over GF(4). Discrete Mathematics & Theoretical Computer Science 281 43-66
  • M. Rötteler, M. Grassl, T. Beth. (2004). On Quantum MDS Codes. Proceedings of ISIT 356
  • M. Grassl. (2004). On SIC-POVMs and MUBs in Dimension 6. Proc. EQIS 60-61
  • M. Grassl, T. Beth, M. Rötteler. (2004). On Optimal Quantum Codes. Int. J. Quant. Info. 2 55-64
  • R. Zeier, M. Grassl, T. Beth. (2004). Gate simulation and lower bounds on the simulation time. Phys. Rev. A 70 032319
  • T. Beth, C. Charnes, M. Grassl, G. Alber, A. Delgado, M. Mussinger. (2003). A New Class of Designs Which Protect against Quantum Jumps. Designs, Codes and Cryptography 29 51-70
  • G. Alber, T. Beth, C. Charnes, A. Delgado, M. Grassl, M. Mussinger. (2003). Detected-jump-error-correcting quantum codes, quantum error designs, and quantum computation. Phys. Rev. A 68 012316
  • M. Grassl, M. Rötteler, T. Beth. (2003). Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes. IJFCS 14 757-775
  • M. Grassl, A. Klappenecker, M. Rötteler. (2002). Graphs, Quadratic Forms, and Quantum Codes. Proceedings of ISIT 45
  • M. Grassl. (2001). New Binary Codes from a Chain of Cyclic Codes. IEEE Transactions on Information Theory 47 1178-1181
  • E. Biham, O. Biham, D. Biron, M. Grassl, D.A. Lidar, D. Shapira. (2001). Analysis of Generalized Grover Quantum Search Algorithms Using Recursion Equations. Phys. Rev. A 63 012310
  • G. Alber, T. Beth, C. Charnes, A. Delgado, M. Grassl, M. Mussinger. (2001). Stabilizing Distinguishable Qubits against Spontaneous Decay by Detected-Jump Correcting Quantum Codes. Phys. Rev. Lett. 86 4402-4405
  • M. Grassl. (2000). On the Minimum Distance of some Quadratic-Residue Codes. Proceedings of ISIT 253
  • R. Steinwandt, M. Grassl, W. Geiselmann, T. Beth. (2000). Weaknesses in the SL_2(F_2^n) Hashing Scheme. Proceedings of CRYPTO 1880 288-301
  • M. Grassl, T. Beth. (2000). Cyclic Quantum Error-Correcting Codes and Quantum Shift Registers. Proceedings of the Royal Society A 456 2689-2706
  • M. Grassl, T. Beth. (1999). Relations between Classical and Quantum Error-Correcting Codes. Proceedings Workshop "Physik und Informatik" 45-57
  • M. Grassl, W. Geiselmann, T. Beth. (1999). Quantum Reed-Solomon Codes. Proc. AAECC 1719 231-244
  • M. Grassl, T. Beth. (1999). The Quantum Hamming and Hexacodes. Fortschritte der Physik 46 459-491
  • M. Grassl, M. Rötteler, T. Beth. (1999). Computing local invariants of quantum-bit systems. Phys. Rev. A 58 1833-1839
  • B.M. Terhal, I.L. Chuang, D.P. DiVincenzo, M. Grassl, J.A. Smolin. (1999). Simulating quantum operations with mixed environments. Phys. Rev. A 60 881-885
  • E. Biham, O. Biham, D. Biron, M. Grassl, D.A. Lidar. (1999). Grover\'s Quantum Search Algorithm for Arbitrary Initial Amplitude Distribution. Phys. Rev. A 60 2742-2745
  • D. Biron, O. Biham, E. Biham, M. Grassl, D.A. Lidar. (1998). Generalized Grover Search Algorithm for Arbitrary Initial Amplitude Distribution. NASA QCQC 1509 140-147
  • T. Beth, M. Grassl, D.E. Lazic, H. Lukhaub. (1997). Probability Density Function of the Line-of-Sight Angle Error. Proceedings of ISIT 308
  • M. Grassl, T. Beth, T. Pellizzari. (1997). Codes for the Quantum Erasure Channel. Phys. Rev. A 56 33-38
  • T. Beth, M. Grassl. (1996). Improved Decoding of Quantum Error Correcting Codes from Classical Codes. Proc. PhysComp 28-31
  • T. Pellizzari, T. Beth, M. Grassl, J. Müller-Quade. (1996). Stabilization of Quantum States in Quantum Optical Systems. Phys. Rev. A 54 2698-2702
  • T. Beth, M. Grassl, D.E. Lazic. (1995). How Serious are the Clouds Cast on the McEliece Public-Key Cryptosystem?. ISCTA 282-288
  • T. Beth, M. Grassl, D.E. Lazic. (1994). Decoding Algorithm for Linear Binary Codes Based on the Interpolation Curve. Proceedings of ISIT 102