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Markus Grassl

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affiliation: University of Gdansk, Poland
affiliation: University of Erlangen-Nuremberg, Institute of Optics, Information and Photonics
affiliation: Max Planck Institute for the Science of Light, Erlangen, Germany
affiliation: National University of Singapore, Centre for Quantum Technologies (CQT)

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2020 – today

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2024
[j33]
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Markus Grassl, Ferruh Özbudak, Buket Özkaya, Burcu Gülmez Temür:
Complete characterization of a class of permutation trinomials in characteristic five. Cryptogr. Commun. 16(4): 825-841 (2024)
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Gaojun Luo, Martianus Frederic Ezerman, Markus Grassl, San Ling:
Constructing quantum error-correcting codes that require a variable amount of entanglement. Quantum Inf. Process. 23(1): 4 (2024)
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Reza Dastbasteh, Farzad Padashnick, Pedro M. Crespo, Markus Grassl, Javad Sharafi:
Equivalence of constacyclic codes with shift constants of different orders. CoRR abs/2403.04600 (2024)
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  - journals/corr/abs-2405-15057
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Martianus Frederic Ezerman, Markus Grassl, San Ling, Ferruh Özbudak, Buket Özkaya:
Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes. CoRR abs/2405.15057 (2024)
[i31]
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Fernando Hernando, Gregorio Quintana-Ortí, Markus Grassl:
Fast Algorithms and Implementations for Computing the Minimum Distance of Quantum Codes. CoRR abs/2408.10743 (2024)
2023
[j31]
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Markus Grassl:
New quantum codes from CSS codes. Quantum Inf. Process. 22(1): 86 (2023)
[i30]
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Tushita Prasad, Markus Grassl:
Codes for entanglement-assisted classical communication. CoRR abs/2310.19774 (2023)
2022
[j30]
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Chenfeng Cao, Chao Zhang, Zipeng Wu, Markus Grassl, Bei Zeng:
Quantum variational learning for quantum error-correcting codes. Quantum 6: 828 (2022)
[j29]
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Markus Grassl, Felix Huber, Andreas J. Winter:
Entropic Proofs of Singleton Bounds for Quantum Error-Correcting Codes. IEEE Trans. Inf. Theory 68(6): 3942-3950 (2022)
[c34]
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David M. Weigl, Chanda VanderHart, Matthäus Pescoller, Delilah Rammler, Markus Grassl, Fritz Trümpi, Werner Goebl:
The Vienna Philharmonic Orchestra's New Year's Concerts: Building a FAIR Data Corpus for Musicology. DLfM 2022: 36-40
[i29]
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  - journals/corr/abs-2207-05647
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Gaojun Luo, Martianus Frederic Ezerman, Markus Grassl, San Ling:
How Much Entanglement Does a Quantum Code Need? CoRR abs/2207.05647 (2022)
[i28]
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  - journals/corr/abs-2208-05353
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Markus Grassl:
New Quantum Codes from CSS Code. CoRR abs/2208.05353 (2022)
[i27]
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  - journals/corr/abs-2212-00431
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Markus Grassl, Anna-Lena Horlemann, Violetta Weger:
The Subfield Metric and its Application to Quantum Error Correction. CoRR abs/2212.00431 (2022)
2021
[j28]
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Markus Grassl:
Algebraic quantum codes: linking quantum mechanics and discrete mathematics. Int. J. Comput. Math. Comput. Syst. Theory 6(4): 243-259 (2021)
[j27]
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Markus Grassl:
Comment on "An encryption protocol for NEQR images based on one-particle quantum walks on a circle". Quantum Inf. Process. 20(5): 183 (2021)
2020
[j26]
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  - journals/quantum/HuberG20
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Felix Huber, Markus Grassl:
Quantum Codes of Maximal Distance and Highly Entangled Subspaces. Quantum 4: 284 (2020)
[i26]
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  - journals/corr/abs-2007-01249
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Markus Grassl:
Entanglement-Assisted Quantum Communication Beating the Quantum Singleton Bound. CoRR abs/2007.01249 (2020)
[i25]
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  - journals/corr/abs-2010-07902
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Markus Grassl, Felix Huber, Andreas J. Winter:
Entropic proofs of Singleton bounds for quantum error-correcting codes. CoRR abs/2010.07902 (2020)
[i24]
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  - journals/corr/abs-2011-06996
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Markus Grassl:
Algebraic Quantum Codes: Linking Quantum Mechanics and Discrete Mathematics. CoRR abs/2011.06996 (2020)

2010 – 2019

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2019
[i23]
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Felix Huber, Markus Grassl:
Quantum Codes of Maximal Distance and Highly Entangled Subspaces. CoRR abs/1907.07733 (2019)
2018
[j25]
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Ariana Muñoz, Andrei B. Klimov, Markus Grassl, Luis L. Sánchez-Soto:
Tomography from collective measurements. Quantum Inf. Process. 17(10): 286 (2018)
[j24]
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Markus Grassl, Linghang Kong, Zhaohui Wei, Zhang-Qi Yin, Bei Zeng:
Quantum Error-Correcting Codes for Qudit Amplitude Damping. IEEE Trans. Inf. Theory 64(6): 4674-4685 (2018)
2017
[j23]
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Nuh Aydin, Nicholas Connolly, Markus Grassl:
Some results on the structure of constacyclic codes and new linear codes over GF(7) from quasi-twisted codes. Adv. Math. Commun. 11(1): 245-258 (2017)
[j22]
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Markus Grassl, Masaaki Harada:
New self-dual additive F₄-codes constructed from circulant graphs. Discret. Math. 340(3): 399-403 (2017)
[c33]
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Markus Grassl, Sirui Lu, Bei Zeng:
Codes for simultaneous transmission of quantum and classical information. ISIT 2017: 1718-1722
[i22]
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Markus Grassl, Sirui Lu, Bei Zeng:
Codes for Simultaneous Transmission of Quantum and Classical Information. CoRR abs/1701.06963 (2017)
2016
[c32]
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Tyler Jackson, Markus Grassl, Bei Zeng:
Codeword stabilized quantum codes for asymmetric channels. ISIT 2016: 2264-2268
[c31]
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Tyler Jackson, Markus Grassl, Bei Zeng:
Concatenated codes for amplitude damping. ISIT 2016: 2269-2273
[c30]
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Markus Grassl, Brandon Langenberg, Martin Roetteler, Rainer Steinwandt:
Applying Grover's Algorithm to AES: Quantum Resource Estimates. PQCrypto 2016: 29-43
2015
[j21]
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Markus Grassl, Peter W. Shor, Graeme Smith, John A. Smolin, Bei Zeng:
New Constructions of Codes for Asymmetric Channels via Concatenation. IEEE Trans. Inf. Theory 61(4): 1879-1886 (2015)
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Markus Grassl, Martin Rötteler:
Quantum MDS codes over small fields. ISIT 2015: 1104-1108
[i21]
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Markus Grassl, Martin Roetteler:
Quantum MDS Codes over Small Fields. CoRR abs/1502.05267 (2015)
[i20]
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Markus Grassl, Masaaki Harada:
New self-dual additive $\mathbb{F}_4$-codes constructed from circulant graphs. CoRR abs/1509.04846 (2015)
[i19]
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Markus Grassl, Brandon Langenberg, Martin Roetteler, Rainer Steinwandt:
Applying Grover's algorithm to AES: quantum resource estimates. CoRR abs/1512.04965 (2015)
2014
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Martin Tomlinson, Mubarak Jibril, Cen Tjhai, Markus Grassl, Mohammed Zaki Ahmed:
New binary codes from extended Goppa codes. Des. Codes Cryptogr. 70(1-2): 149-156 (2014)
[j19]
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David Marcus Appleby, Ingemar Bengtsson, Stephen Brierley, Åsa Ericsson, Markus Grassl, Jan-Åke Larsson:
Systems of imprimitivity for the clifford group. Quantum Inf. Comput. 14(3-4): 339-360 (2014)
[j18]
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Prabha Mandayam, Somshubhro Bandyopadhyay, Markus Grassl, William K. Wootters:
Unextendible mutually unbiased bases from Pauli C\classes. Quantum Inf. Comput. 14(9-10): 823-844 (2014)
[j17]
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Mubarak Jibril, Sergey Bezzateev, Martin Tomlinson, Markus Grassl, Mohammed Zaki Ahmed:
A Generalized Construction of Extended Goppa Codes. IEEE Trans. Inf. Theory 60(9): 5296-5303 (2014)
[c28]
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Markus Grassl, Zhaohui Wei, Zhang-Qi Yin, Bei Zeng:
Quantum error-correcting codes for amplitude damping. ISIT 2014: 906-910
2013
[j16]
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Martin Tomlinson, Mubarak Jibril, Cen Tjhai, Sergey Bezzateev, Markus Grassl, Mohammed Zaki Ahmed:
A Generalized Construction and Improvements on Nonbinary Codes From Goppa Codes. IEEE Trans. Inf. Theory 59(11): 7299-7304 (2013)
[c27]
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Yun-Jiang Wang, Bei Zeng, Markus Grassl, Barry C. Sanders:
Stabilizer formalism for generalized concatenated quantum codes. ISIT 2013: 529-533
[c26]
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Markus Grassl, Martin Roetteler:
Leveraging automorphisms of quantum codes for fault-tolerant quantum computation. ISIT 2013: 534-538
[c25]
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Martianus Frederic Ezerman, Markus Grassl:
Asymmetric quantum codes detecting a single amplitude error. ISIT 2013: 922-926
[c24]
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Salman Beigi, Jianxin Chen, Markus Grassl, Zhengfeng Ji, Qiang Wang, Bei Zeng:
Symmetries of Codeword Stabilized Quantum Codes. TQC 2013: 192-206
[i18]
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  - journals/corr/abs-1302-1035
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Markus Grassl, Martin Roetteler:
Leveraging Automorphisms of Quantum Codes for Fault-Tolerant Quantum Computation. CoRR abs/1302.1035 (2013)
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Salman Beigi, Jianxin Chen, Markus Grassl, Zhengfeng Ji, Qiang Wang, Bei Zeng:
Symmetries of Codeword Stabilized Quantum Codes. CoRR abs/1303.7020 (2013)
[i16]
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Yun-Jiang Wang, Bei Zeng, Markus Grassl, Barry C. Sanders:
Stabilizer formalism for generalized concatenated quantum codes. CoRR abs/1309.5598 (2013)
[i15]
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Markus Grassl, Peter W. Shor, Graeme Smith, John A. Smolin, Bei Zeng:
New Constructions of Codes for Asymmetric Channels via Concatenation. CoRR abs/1310.7536 (2013)
2012
[j15]
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David Marcus Appleby, Ingemar Bengtsson, Stephen Brierley, Markus Grassl, David Gross, Jan-Åke Larsson:
The monomial representations of the Clifford group. Quantum Inf. Comput. 12(5-6): 404-431 (2012)
[c23]
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Markus Grassl, Peter W. Shor, Graeme Smith, John A. Smolin, Bei Zeng:
New constructions of codes for asymmetric channels via concatenation. ISIT 2012: 751-755
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Markus Grassl, Sunghyu Han:
Computing extensions of linear codes using a greedy algorithm. ISIT 2012: 1568-1572
2011
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Markus Grassl, Ivana Ilic, Spyros S. Magliveras, Rainer Steinwandt:
Cryptanalysis of the Tillich-Zémor Hash Function. J. Cryptol. 24(1): 148-156 (2011)
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Martianus Frederic Ezerman, Markus Grassl, Patrick Solé:
The Weights in MDS Codes. IEEE Trans. Inf. Theory 57(1): 392-396 (2011)
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Cen Tjhai, Martin Tomlinson, Markus Grassl:
There Is No Binary [35, 10, 13] Code. IEEE Trans. Inf. Theory 57(9): 6094-6096 (2011)
[c21]
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Markus Grassl:
Variations on Encoding Circuits for Stabilizer Quantum Codes. IWCC 2011: 142-158
2010
[c20]
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Yunfan Li, Ilya Dumer, Markus Grassl, Leonid P. Pryadko:
Clustered bounded-distance decoding of codeword-stabilized quantum codes. ISIT 2010: 2662-2666
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Runyao Duan, Markus Grassl, Zhengfeng Ji, Bei Zeng:
Multi-error-correcting amplitude damping codes. ISIT 2010: 2672-2676
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Markus Grassl, Martin Rötteler:
On encoders for quantum convolutional codes. ITW 2010: 1-5
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Runyao Duan, Markus Grassl, Zheng-Feng Ji, Bei Zeng:
Multi-Error-Correcting Amplitude Damping Codes. CoRR abs/1001.2356 (2010)

2000 – 2009

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2009
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Markus Grassl, T. Aaron Gulliver:
On circulant self-dual codes over small fields. Des. Codes Cryptogr. 52(1): 57-81 (2009)
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Markus Grassl, Rainer Steinwandt:
Cryptanalysis of an authentication scheme using truncated polynomials. Inf. Process. Lett. 109(15): 861-863 (2009)
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Markus Grassl, Peter W. Shor, Bei Zeng:
Generalized concatenation for quantum codes. ISIT 2009: 953-957
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Markus Grassl, Martin Rötteler:
Quantum Error Correction and Fault Tolerant Quantum Computing. Encyclopedia of Complexity and Systems Science 2009: 7324-7342
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Martianus Frederic Ezerman, Markus Grassl, Patrick Solé:
The Weights in MDS Codes. CoRR abs/0908.1669 (2009)
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Yunfan Li, Ilya Dumer, Markus Grassl, Leonid P. Pryadko:
Structured Error Recovery for Codeword-Stabilized Quantum Codes. CoRR abs/0912.3245 (2009)
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Markus Grassl, Ivana Ilic, Spyros S. Magliveras, Rainer Steinwandt:
Cryptanalysis of the Tillich-Zémor hash function. IACR Cryptol. ePrint Arch. 2009: 376 (2009)
2008
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Markus Grassl, Martin Rötteler:
Quantum Goethals-Preparata codes. ISIT 2008: 300-304
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Markus Grassl, T. Aaron Gulliver:
On self-dual MDS codes. ISIT 2008: 1954-1957
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Cen Tjhai, Martin Tomlinson, Markus Grassl:
Chains of cyclic codes, Construction X and incremental redundancy. ITW 2008: 323-327
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Markus Grassl, Martin Rötteler:
Non-additive quantum codes from Goethals and Preparata codes. ITW 2008: 396-400
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Markus Grassl:
Computing Equiangular Lines in Complex Space. MMICS 2008: 89-104
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Markus Grassl, Martin Rötteler:
Non-Additive Quantum Codes from Goethals and Preparata Codes. CoRR abs/0801.2144 (2008)
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Markus Grassl, Martin Rötteler:
Quantum Goethals-Preparata Codes. CoRR abs/0801.2150 (2008)
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Markus Grassl, Rainer Steinwandt:
Cryptanalysis of an Authentication Scheme Using Truncated Polynomials. IACR Cryptol. ePrint Arch. 2008: 245 (2008)
2007
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G. David Forney Jr., Markus Grassl, Saikat Guha:
Convolutional and Tail-Biting Quantum Error-Correcting Codes. IEEE Trans. Inf. Theory 53(3): 865-880 (2007)
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Markus Grassl:
Computing Extensions of Linear Codes. ISIT 2007: 476-480
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Markus Grassl, Martin Rötteler:
Constructions of Quantum Convolutional Codes. ISIT 2007: 816-820
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Markus Grassl:
Computing Extensions of Linear Codes. CoRR abs/0704.2596 (2007)
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Markus Grassl, Andreas Klappenecker, Martin Rötteler:
Graphs, Quadratic Forms, and Quantum Codes. CoRR abs/quant-ph/0703112 (2007)
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Salah A. Aly, Markus Grassl, Andreas Klappenecker, Martin Rötteler, Pradeep Kiran Sarvepalli:
Quantum Convolutional BCH Codes. CoRR abs/quant-ph/0703113 (2007)
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Markus Grassl, Martin Rötteler:
Quantum Block and Convolutional Codes from Self-orthogonal Product Codes. CoRR abs/quant-ph/0703181 (2007)
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Markus Grassl, Martin Rötteler:
Constructions of Quantum Convolutional Codes. CoRR abs/quant-ph/0703182 (2007)
2006
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Markus Grassl:
Fehlerkorrektur für Quantensysteme (Quantum Error-Correcting Codes). it Inf. Technol. 48(6): 354- (2006)
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Markus Grassl, Andreas Klappenecker, Martin Rötteler:
In Memoriam: Thomas Beth. Quantum Inf. Process. 5(1): 1-4 (2006)
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Markus Grassl, Martin Rötteler:
Non-catastrophic Encoders and Encoder Inverses for Quantum Convolutional Codes. ISIT 2006: 1109-1113
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Greg White, Markus Grassl:
A New Minimum Weight Algorithm for Additive Codes. ISIT 2006: 1119-1123
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Markus Grassl, Martin Rötteler:
Non-catastrophic Encoders and Encoder Inverses for Quantum Convolutional Codes. CoRR abs/quant-ph/0602129 (2006)
2005
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Markus Grassl:
Tomography of Quantum States in Small Dimensions. Electron. Notes Discret. Math. 20: 151-164 (2005)
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Markus Grassl, Martin Rötteler:
Quantum block and convolutional codes from self-orthogonal product codes. ISIT 2005: 1018-1022
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Markus Grassl, Greg White:
New codes from chains of quasi-cyclic codes. ISIT 2005: 2095-2099
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G. David Forney Jr., Markus Grassl, Saikat Guha:
Convolutional and tail-biting quantum error-correcting codes. CoRR abs/quant-ph/0511016 (2005)
2004
[j5]
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Iliya Bouyukliev, Markus Grassl, Zlatko Varbanov:
New bounds for n4(k, d) and classification of some optimal codes over GF(4). Discret. Math. 281(1-3): 43-66 (2004)
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Martin Rötteler, Markus Grassl, Thomas Beth:
On quantum MDS codes. ISIT 2004: 355
2003
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Thomas Beth, Chris Charnes, Markus Grassl, Gernot Alber, Aldo Delgado, Michael Mussinger:
A New Class of Designs Which Protect against Quantum Jumps. Des. Codes Cryptogr. 29(1-3): 51-70 (2003)
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Markus Grassl, Martin Rötteler, Thomas Beth:
Efficient Quantum Circuits For Non-Qubit Quantum Error-Correcting Codes. Int. J. Found. Comput. Sci. 14(5): 757-776 (2003)
2002
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Markus Grassl:
Fehlerkorrigierende Codes für Quantensysteme: Konstruktionen und Algorithmen. Karlsruhe Institute of Technology, Germany, Shaker 2002, ISBN 978-3-8322-0492-1, pp. 1-164
2001
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Markus Grassl:
New binary codes from a chain of cyclic codes. IEEE Trans. Inf. Theory 47(3): 1178-1181 (2001)
2000
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Thomas Beth, Markus Grassl:
Quantum Computing - Applicable Algebra goes to Physics. Appl. Algebra Eng. Commun. Comput. 10(4/5): 269-272 (2000)
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Rainer Steinwandt, Markus Grassl, Willi Geiselmann, Thomas Beth:
Weaknesses in the SL₂(IF_s²) Hashing Scheme. CRYPTO 2000: 287-299
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Markus Grassl:
Methods of quantum error correction. ISCAS 2000: 740-743

1990 – 1999

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1999
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Markus Grassl, Willi Geiselmann, Thomas Beth:
Quantum Reed-Solomon Codes. AAECC 1999: 231-244
1998
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David Biron, Ofer Biham, Eli Biham, Markus Grassl, Daniel A. Lidar:
Generalized Grover Search Algorithm for Arbitrary Initial Amplitude Distribution. QCQC 1998: 140-147

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