Ziele Untersuchung
mit Columbo Integrität von
Datenbanken Interaktion und
Portierbarkeit Ergonomie der
Schnittstellen

Angebot Produkte Projekt Beratung

Mittel Analytik Modellierung Sprachen Algebra Logik Hardware Denken Kreativität

Zusammenhänge Gesellschaft Wirtschaft Branche Firma

Benutzer


products/Sources/formale Sprachen/GAP/pkg/qpa/doc/ (GAP Algebra Version 4.15.1^©) Datei vom 4.0.2024 mit Größe 68 kB

Quelle chapBib.html Sprache: unbekannt

<?xml version="1.0" encoding="UTF-8"?>

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
 "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">

<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<title>GAP (QDistRnd) - References</title>
<meta http-equiv="content-type" content="text/html; charset=UTF-8" />
<meta name="generator" content="GAPDoc2HTML" />
<link rel="stylesheet" type="text/css" href="manual.css" />
<script src="manual.js" type="text/javascript"></script>
<script type="text/javascript">overwriteStyle();</script>
</head>
<body class="chapBib" onload="jscontent()">

<div class="chlinktop">Goto Chapter: <a href="chap0.html">Top</a> <a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chap5.html">5</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div>

<div class="chlinkprevnexttop"> <a href="chap0.html">[Top of Book]</a> <a href="chap0.html#contents">[Contents]</a> <a href="chap5.html">[Previous Chapter]</a> <a href="chapInd.html">[Next Chapter]</a> </div>

<a href="chapBib_mj.html">[MathJax on]</a>
<a id="X7A6F98FD85F02BFE" name="X7A6F98FD85F02BFE"></a>

<h3>References</h3>

<a id="biBAshikhmin-Knill-2001" name="biBAshikhmin-Knill-2001"></a>

[AK01] Ashikhmin, A. and Knill, E.,
Nonbinary quantum stabilizer codes,
IEEE Trans. Info. Th.,
47 (7)
(2001),
3065-3072.


<a id="biBCoffey-Goodman-1990" name="biBCoffey-Goodman-1990"></a>

[CG90] Coffey, J. T. and Goodman, R. M.,
The complexity of information set decoding,
IEEE Trans. Info. Theory,
36 (5)
(1990),
1031 -1037.


<a id="biBCuellar-etal-2020" name="biBCuellar-etal-2020"></a>

[CGLN21] Cu\'ellar, M. P., G\'omez-Torrecillas, J., Lobillo, F. J. and Navarro, G.,
Genetic algorithms with permutation-based
 representation for computing the distance of linear
 codes,
Swarm and Evolutionary Computation,
60
(2021),
100797.


<a id="biBChernoff-Lehmann-1954" name="biBChernoff-Lehmann-1954"></a>

[CL54] Chernoff, H. and Lehmann, E. L.,
<a href="https://doi.org/10.1214/aoms/1177728726">The Use of Maximum Likelihood Estimates in χ^2
 Tests for Goodness of Fit</a>,
The Annals of Mathematical Statistics,
Institute of Mathematical Statistics,
25 (3)
(1954),
579 -- 586.


<a id="biBCramer-book-1999" name="biBCramer-book-1999"></a>

[Cra99] Cram\'er, H.,
<a href="https://www.jstor.org/stable/j.ctt1bpm9r4">Mathematical Methods of Statistics (PMS-9)</a>,
Princeton University Press
(1999).


<a id="biBCalderbank-1997" name="biBCalderbank-1997"></a>

[CRSS98] Calderbank, A. R., Rains, E. M., Shor, P. M. and Sloane, N. J. A.,
<a href="https://doi.org/10.1109/18.681315">Quantum error correction via codes over GF(4)</a>,
IEEE Trans. Info. Theory,
44
(1998),
1369-1387.


<a id="biBDumer-Kovalev-Pryadko-bnd-2015" name="biBDumer-Kovalev-Pryadko-bnd-2015"></a>

[DKP15] Dumer, I., Kovalev, A. A. and Pryadko, L. P.,
<a href="https://doi.org/10.1103/PhysRevLett.115.050502">Thresholds for correcting errors, erasures, and
 faulty syndrome measurements in degenerate quantum
 codes</a>,
Phys. Rev. Lett.,
American Physical Society,
115
(2015),
050502.


<a id="biBDumer-Kovalev-Pryadko-IEEE-2017" name="biBDumer-Kovalev-Pryadko-IEEE-2017"></a>

[DKP17] Dumer, I., Kovalev, A. A. and Pryadko, L. P.,
Distance Verification for Classical and Quantum LDPC
 Codes,
IEEE Trans. Inf. Th.,
63 (7)
(2017),
4675-4686.


<a id="biBgottesman-thesis" name="biBgottesman-thesis"></a>

[Got97] Gottesman, D.,
<a href="https://arxiv.org/abs/quant-ph/9705052">Stabilizer Codes and Quantum Error Correction</a>,
Ph.D. thesis,
Caltech
(1997).


<a id="biBGottesman-prime-power-2014" name="biBGottesman-prime-power-2014"></a>

[Got14] Gottesman, D.,
<a href="https://www.qec14.ethz.ch/slides/DanielGottesman.pdf">Stabilizer codes with prime power qudits</a>
(2014) 
(Invited talk at QEC 2014 (ETH Zurich)).


<a id="biBKetkar-Klappenecker-Kumar-Sarvepalli-2006" name="biBKetkar-Klappenecker-Kumar-Sarvepalli-2006"></a>

[KKKS06] Ketkar, A., Klappenecker, A., Kumar, S. and Sarvepalli, P. K.,
Nonbinary Stabilizer Codes Over Finite Fields,
{IEEE} Trans. Info. Th.,
52 (11)
(2006),
4892-4914.


<a id="biBKruk-1989" name="biBKruk-1989"></a>

[Kru89] Kruk, E. A.,
<a href="http://mi.mathnet.ru/eng/ppi665">Decoding Complexity Bound for Linear Block Codes</a>,
Probl. Peredachi Inf.,
25 (3)
(1989),
103-107 
((In Russian)).


<a id="biBLeon-1988" name="biBLeon-1988"></a>

[Leo88] Leon, J. S.,
A probabilistic algorithm for computing minimum
 weights of large error-correcting codes,
IEEE Trans. Info. Theory,
34 (5)
(1988),
1354 -1359.


<a id="biBConwayPol-2022" name="biBConwayPol-2022"></a>

[L\t21] L\"ubeck, F.,
<a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/data/ConwayPol/">Conway polynomials for finite fields</a>
(2021) 
([Downloaded on 2022-02-19]).


<a id="biBNielsen-book" name="biBNielsen-book"></a>

[NC00] Nielsen, M. A. and Chuang, I. L.,
Quantum Computation and Quantum Infomation,
Cambridge Unive. Press,
Cambridge, MA
(2000).


<a id="biBSteel-1953" name="biBSteel-1953"></a>

[Ste53] Steel, R. G. D.,
<a href="https://ecommons.cornell.edu/handle/1813/32480">Relation Between Poisson and Multinomial
 Distributions</a>,
Biometrics Unit Technical Reports,
Cornell University (BU-39-M)
(1953).


<a id="biBZeng-Pryadko-hprod-2020" name="biBZeng-Pryadko-hprod-2020"></a>

[ZP20] Zeng, W. and Pryadko, L. P.,
<a href="https://link.aps.org/doi/10.1103/PhysRevA.102.062402">Minimal distances for certain quantum product codes
 and tensor products of chain complexes</a>,
Phys. Rev. A,
102
(2020),
062402.


 

<div class="chlinkprevnextbot"> <a href="chap0.html">[Top of Book]</a> <a href="chap0.html#contents">[Contents]</a> <a href="chap5.html">[Previous Chapter]</a> <a href="chapInd.html">[Next Chapter]</a> </div>

<div class="chlinkbot">Goto Chapter: <a href="chap0.html">Top</a> <a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chap5.html">5</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div>

<hr />
generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a>
</body>
</html>