CQT - Markus Grassl

Markus Grassl

Former Senior Research Fellow

www.markus-grassl.de

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

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 Trans. Inf.
D. M. Appleby, Ingemar Bengtsson, Stephen Brierley, �sa Ericsson, M. Grassl, Jan-�ke 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. 529-533
Martianus Frederic Ezerman, M. Grassl. (2013). Asymmetric quantum codes detecting a single amplitude error. 922-926
M. Grassl, Martin Roetteler. (2013). Leveraging Automorphisms of Quantum Codes for Fault-Tolerant Quantum Computation. 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 Trans. Inf. 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 Sol�. (2011). The Weights in MDS Codes. IEEE Trans. Inf. 57 392-396
Alejandro P. Nicol�s, Consuelo Mart��nez, 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). 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. R�tteler. (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. R�tteler, P.K. Sarvepalli. (2007). Quantum Convolutional BCH Codes. Proc. CWIT 180-183
M. Grassl, M. R�tteler. (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 Trans. Inf. 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 Trans. Inf. 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