% This file was created with JabRef 2.10b2.

% Encoding: UTF-8

@PREAMBLE{

"\def\cprime{$'$} "

}

@String { NCOMMS = {Nat. Commun.} }

@String { NJP = {New J. Phys.} }

@String { PNAS = {Proc. Natl. Acad. Sci.} }

@String { PRA = {Phys. Rev. A} }

@String { PRB = {Phys. Rev. B} }

@String { PRL = {Phys. Rev. Lett.} }

@article{oreshkov2015operational,

title={Operational formulation of time reversal in quantum theory},

author={Oreshkov, Ognyan and Cerf, Nicolas J},

journal={Nature Physics},

year={2015},

publisher={Nature Publishing Group}

}

@Article{aaronson2010computational,

Title = {{The Computational Complexity of Linear Optics}},

Author = {Aaronson, S. and Arkhipov, A.},

Journal = {Arxiv preprint arXiv:1011.3245},

Year = {2010}

}

@Article{AOP,

Title = {Induction for secant varieties of Segre varieties},

Author = {Abo, H. and Ottaviani, G. and Peterson,P.},

Journal = {preprint, math.AG/0607191}

}

@Article{AOP2,

Title = {The defectiveness of Grasmannians of planes},

Author = {Abo, H. and Ottaviani, G. and Peterson,P.},

Journal = {preprint}

}

@InProceedings{aharonov2001quantum,

Title = {Quantum walks on graphs},

Author = {Aharonov, Dorit and Ambainis, Andris and Kempe, Julia and Vazirani, Umesh},

Booktitle = {Proceedings of the thirty-third annual ACM symposium on Theory of computing},

Year = {2001},

Organization = {ACM},

Pages = {50--59}

}

@Article{ahmed2008training,

Title = {Training hierarchical feed-forward visual recognition models using transfer learning from pseudo-tasks},

Author = {Ahmed, A. and Yu, K. and Xu, W. and Gong, Y. and Xing, E.},

Journal = {Computer Vision--ECCV 2008},

Year = {2008},

Pages = {69--82},

Publisher = {Springer}

}

@Article{aichholzer1996classifying,

Title = {Classifying hyperplanes in hypercubes},

Author = {Aichholzer, O. and Aurenhammer, F.},

Journal = {SIAM Journal on Discrete Mathematics},

Year = {1996},

Pages = {225-232},

Volume = {9}

}

@Article{Aji2000,

Title = {The generalized distributive law},

Author = {S.M. Aji and R.J. McEliece},

Journal = {IEEE Trans. Inform. Theory},

Year = {2000},

Number = {2},

Pages = {325--343},

Volume = {46},

Coden = {IETTAW},

Fjournal = {Institute of Electrical and Electronics Engineers. Transactions on Information Theory},

ISSN = {0018-9448},

Mrclass = {65C50 (68T30)}

}

@Article{ajtai1983summation,

Title = {${\Sigma_1^1}$-formulae on finite structures},

Author = {Ajtai, M.},

Journal = {Annals of pure and applied logic},

Year = {1983},

Number = {1},

Pages = {1--48},

Volume = {24},

Publisher = {Elsevier}

}

@Article{AS,

Title = {On the algorithmic complexity of associative algebras},

Author = {Alder, A. and Strassen, V.},

Journal = {Theoret. Comput. Sci.},

Year = {1981},

Number = {2},

Pages = {201--211},

Volume = {15},

Coden = {TCSDI},

Fjournal = {Theoretical Computer Science},

ISSN = {0304-3975},

Mrclass = {68C25 (12-04 16-04)},

Mrnumber = {MR623595 (82g:68038)},

Mrreviewer = {Claus-Peter Schnorr}

}

@Article{aldous1986shuffling,

Title = {{Shuffling cards and stopping times}},

Author = {Aldous, D. and Diaconis, P.},

Journal = {American Mathematical Monthly},

Year = {1986},

Number = {5},

Pages = {333--348},

Volume = {93},

ISSN = {0002-9890},

Publisher = {JSTOR}

}

@Article{MR780851,

Title = {On the complexity of some algorithms of matrix multiplication},

Author = {Alekseyev, Valery B.},

Journal = {J. Algorithms},

Year = {1985},

Number = {1},

Pages = {71--85},

Volume = {6},

Coden = {JOALDV},

Fjournal = {Journal of Algorithms},

ISSN = {0196-6774},

Mrclass = {68Q25 (15-04 65F30)},

Mrnumber = {MR780851 (86g:68070)}

}

@Article{MR971330,

Title = {Singularit\'es imposables en position g\'en\'erale \`a une hypersurface projective},

Author = {Alexander, J.},

Journal = {Compositio Math.},

Year = {1988},

Number = {3},

Pages = {305--354},

Volume = {68},

Coden = {CMPMAF},

Fjournal = {Compositio Mathematica},

ISSN = {0010-437X},

Mrclass = {14M07 (14F05)},

Mrnumber = {MR971330 (89k:14085)},

Mrreviewer = {L. B{\u{a}}descu}

}

@Article{AH,

Title = {Polynomial interpolation in several variables},

Author = {Alexander, J. and Hirschowitz, A.},

Journal = {J. Algebraic Geom.},

Year = {1995},

Number = {2},

Pages = {201--222},

Volume = {4},

Fjournal = {Journal of Algebraic Geometry},

ISSN = {1056-3911},

Mrclass = {14N10 (14F17 14Q15)},

Mrnumber = {96f:14065},

Mrreviewer = {Fyodor L. Zak}

}

@Article{MR81h:17003,

Title = {A class of nonassociative algebras with involution containing the class of {J}ordan algebras},

Author = {Allison, B. N.},

Journal = {Math. Ann.},

Year = {1978},

Number = {2},

Pages = {133--156},

Volume = {237},

Coden = {MAANA3},

Fjournal = {Mathematische Annalen},

ISSN = {0025-5831},

Mrclass = {17A30 (17B20)},

Mrnumber = {81h:17003},

Mrreviewer = {Joseph C. Ferrar}

}

@Article{AR3,

Title = {Phylogenetic ideals and varieties for the general Markov model},

Author = {Allman, Elizabeth S. and Rhodes, John A.},

Journal = {Advances in applied Mathematics (to appear)}

}

@Article{allman2008phylogenetic,

Title = {Phylogenetic ideals and varieties for the general Markov model},

Author = {Elizabeth S. Allman and John A. Rhodes},

Journal = {Advances in Applied Mathematics},

Year = {2008},

Number = {2},

Pages = {127--148},

Volume = {40},

Doi = {10.1016/j.aam.2006.10.002},

ISSN = {0196-8858},

Url = {http://www.sciencedirect.com/science/article/pii/S0196885806002077}

}

@Book{AR1,

Title = {Mathematical models in biology: an introduction},

Author = {Allman, Elizabeth S. and Rhodes, John A.},

Publisher = {Cambridge University Press},

Year = {2004},

Address = {Cambridge},

ISBN = {0-521-81980-6; 0-521-52586-1},

Mrclass = {92-02 (92B05)},

Mrnumber = {2 013 130},

Pages = {xiv+370}

}

@Article{AR2,

Title = {Phylogenetic invariants for the general {M}arkov model of sequence mutation},

Author = {Allman, Elizabeth S. and Rhodes, John A.},

Journal = {Math. Biosci.},

Year = {2003},

Number = {2},

Pages = {113--144},

Volume = {186},

Coden = {MABIAR},

Fjournal = {Mathematical Biosciences},

ISSN = {0025-5564},

Mrclass = {92D15 (60J10)},

Mrnumber = {2 024 609}

}

@Article{alon,

Title = {Constructive lower bounds for off-diagonal {R}amsey numbers},

Author = {Alon, Noga and Pudl{\'a}k, Pavel},

Journal = {Israel J. Math.},

Year = {2001},

Pages = {243--251},

Volume = {122},

Coden = {ISJMAP},

Fjournal = {Israel Journal of Mathematics},

ISSN = {0021-2172},

Mrclass = {05D10 (05C55)},

Mrnumber = {2002e:05144},

Mrreviewer = {Ke Min Zhang}

}

@Book{amari1987differential,

Title = {Differential geometry in statistical inference},

Author = {Amari, S.},

Publisher = {Inst of Mathematical Statistics},

Year = {1987},

Volume = {10}

}

@Article{Amitsur1979/80,

Title = {On the characteristic polynomial of a sum of matrices},

Author = {Amitsur, S. A.},

Journal = {Linear and Multilinear Algebra},

Year = {1979/80},

Number = {3},

Pages = {177--182},

Volume = {8},

Coden = {LNMLA2},

Fjournal = {Linear and Multilinear Algebra},

ISSN = {0308-1087},

Mrclass = {15A24},

Mrnumber = {MR560557 (82a:15014)},

Mrreviewer = {R. C. Thompson}

}

@Article{MR560557,

Title = {On the characteristic polynomial of a sum of matrices},

Author = {Amitsur, S. A.},

Journal = {Linear and Multilinear Algebra},

Year = {1979/80},

Number = {3},

Pages = {177--182},

Volume = {8},

Coden = {LNMLA2},

Fjournal = {Linear and Multilinear Algebra},

ISSN = {0308-1087},

Mrclass = {15A24},

Mrnumber = {MR560557 (82a:15014)},

Mrreviewer = {R. C. Thompson}

}

@Book{anderson2003introduction,

Title = {An introduction to multivariate statistical analysis.},

Author = {Anderson, TW},

Publisher = {Wiley Series in Probability and Statistics},

Year = {2003},

Edition = {Third}

}

@Book{andrews2000symbolic,

Title = {Symbolic computation for statistical inference},

Author = {Andrews, D.F. and Stafford, J.E.H.},

Publisher = {Oxford University Press, USA},

Year = {2000},

Volume = {21}

}

@Article{arias1999geometry,

Title = {The geometry of algorithms with orthogonality constraints},

Author = {Arias, T. and Edelman, A. and Smith, S.},

Journal = {SIAM J. Matrix Anal. and Appl},

Year = {1999},

Number = {2},

Pages = {303--353},

Volume = {20}

}

@Article{AsbothObuse13,

Title = {Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks},

Author = {Asb\'oth, J. K. and Obuse, H.},

Journal = {Phys. Rev. B},

Year = {2013},

Pages = {121406(R)},

Volume = {88},

Owner = {biamonte},

Timestamp = {2016.06.17}

}

@Article{aslaksen1994generators,

Title = {Generators and Relations of Invariants of 2 x 2 Matrices},

Author = {Aslaksen, Helmer, Tan, Eng-Chye, and Zhu, Chen-bo},

Journal = {Communications in Algebra},

Year = {1994},

Pages = {1821-1832},

Volume = {22},

Publisher = {Taylor \& Francis Group}

}

@Article{buer:03a,

Title = {The Complexity of Factors of Multivariate Polynomials},

Author = {P.~B{\"u}rgisser},

Journal = {Foundations of {C}omputational {M}athematics},

Year = {2004},

Pages = {369--396},

Volume = {4}

}

@Book{buer:00-3,

Title = {Completeness and Reduction in Algebraic Complexity Theory},

Author = {P.~B{\"u}rgisser},

Publisher = {Springer Verlag},

Year = {2000},

Series = {{A}lgorithms and {C}omputation in {M}athematics},

Volume = {7}

}

@Article{buer:97-1,

Title = {{C}ook's versus {V}aliant's Hypothesis},

Author = {P.~B{\"u}rgisser},

Journal = {Theoretical Computer Science},

Year = {2000},

Pages = {71--88},

Volume = {235}

}

@Book{bucs:96,

Title = {Algebraic Complexity Theory},

Author = {P.~B{\"u}rgisser and M.~Clausen and M.A.~Shokrollahi},

Publisher = {Springer Verlag},

Year = {1997},

Series = {{G}rundlehren der mathematischen {W}issenschaften},

Volume = {315}

}

@Book{BCS,

Title = {Algebraic complexity theory},

Author = {B{\"u}rgisser, Peter and Clausen, Michael and Shokrollahi, M. Amin},

Publisher = {Springer-Verlag},

Year = {1997},

Address = {Berlin},

Note = {With the collaboration of Thomas Lickteig},

Series = {Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]},

Volume = {315},

ISBN = {3-540-60582-7},

Mrclass = {68-02 (12Y05 65Y20 68Q05 68Q15 68Q25 68Q40)},

Mrnumber = {99c:68002},

Mrreviewer = {Alexander I. Barvinok},

Pages = {xxiv+618}

}

@Article{bohler2004playing,

Title = {{Playing with Boolean blocks, part II: Constraint satisfaction problems}},

Author = {B\"ohler, E. and Creignou, N. and Reith, S. and Vollmer, H.},

Journal = {ACM SIGACT-Newsletter},

Year = {2004},

Number = {1},

Pages = {22--35},

Volume = {35},

Publisher = {Citeseer}

}

@Article{bohler2003playing,

Title = {{Playing with Boolean blocks, part I: Post’s lattice with applications to complexity theory}},

Author = {B\"ohler, E. and Creignou, N. and Reith, S. and Vollmer, H.},

Journal = {SIGACT News},

Year = {2003},

Number = {4},

Pages = {38--52},

Volume = {34}

}

@Article{baez1998categorification,

Title = {Categorification},

Author = {Baez, J.C. and Dolan, J.},

Journal = {Arxiv preprint math/9802029},

Year = {1998}

}

@Article{baez2009prehistory,

Title = {{A Prehistory of n-Categorical Physics}},

Author = {Baez, J.C. and Lauda, A.},

Journal = {Arxiv preprint arXiv:0908.2469},

Year = {2009}

}

@Article{baez2009physics,

Title = {{Physics, topology, logic and computation: a Rosetta Stone}},

Author = {Baez, J.C. and Stay, M.A.},

Year = {2009},

Url = {http://arxiv.org/abs/0903.0340}

}

@Article{MR1886087,

Title = {The octonions},

Author = {Baez, John C.},

Journal = {Bull. Amer. Math. Soc. (N.S.)},

Year = {2002},

Number = {2},

Pages = {145--205 (electronic)},

Volume = {39},

Coden = {BAMOAD},

Fjournal = {American Mathematical Society. Bulletin. New Series},

ISSN = {0273-0979},

Mrclass = {17A35 (01A55 01A60 17Cxx 83A05)},

Mrnumber = {1 886 087}

}

@Article{BB12,

Title = {{A Course on Quantum Techniques for Stochastic Mechanics}},

Author = {{Baez}, J.~C. and {Biamonte}, J.},

Journal = {ArXiv e-prints},

Year = {2012},

Month = sep,

Pages = {235},

Adsnote = {Provided by the SAO/NASA Astrophysics Data System},

Adsurl = {http://adsabs.harvard.edu/abs/2012arXiv1209.3632B},

Archiveprefix = {arXiv},

Eprint = {1209.3632},

Keywords = {Quantum Physics, Mathematical Physics, Mathematics - Probability},

Primaryclass = {quant-ph}

}

@Book{bakalov2001lectures,

Title = {{Lectures on tensor categories and modular functors}},

Author = {Bakalov, B. and Kirillov, A.A.},

Publisher = {American Mathematical Society},

Year = {2001},

ISBN = {0821826867}

}

@Article{MR2264933,

Title = {A combinatorial interpretation for the coefficients in the {K}ronecker product {$s\sb {(n-p,p)}\ast s\sb \lambda$}},

Author = {Ballantine, Cristina M. and Orellana, Rosa C.},

Journal = {S\'em. Lothar. Combin.},

Year = {2005/07},

Pages = {Art. B54Af, 29 pp. (electronic)},

Volume = {54A},

Fjournal = {S\'eminaire Lotharingien de Combinatoire},

ISSN = {1286-4889},

Mrclass = {05E05 (05E10)},

Mrnumber = {MR2264933 (2008a:05267)},

Mrreviewer = {Ira Gessel}

}

@Article{BC,

Title = {On smooth subcanonical varieties of codimension {$2$} in {${\bf P}\sp{n},$} {$n\geq 4$}},

Author = {Ballico, Edoardo and Chiantini, Luca},

Journal = {Ann. Mat. Pura Appl. (4)},

Year = {1983},

Pages = {99--117 (1984)},

Volume = {135},

Coden = {ANLMAE},

Fjournal = {Annali di Matematica Pura ed Applicata. Serie Quarta},

ISSN = {0003-4622},

Mrclass = {14M07 (14M10)},

Mrnumber = {86d:14047},

Mrreviewer = {Robert Lazarsfeld}

}

@Article{baringhaus1991limit,

Title = {Limit distributions for measures of multivariate skewness and kurtosis based on projections},

Author = {Baringhaus, L. and Henze, N.},

Journal = {Journal of multivariate analysis},

Year = {1991},

Number = {1},

Pages = {51--69},

Volume = {38},

Publisher = {Elsevier}

}

@Article{MR1318886,

Title = {On the {V}assiliev knot invariants},

Author = {Bar-Natan, Dror},

Journal = {Topology},

Year = {1995},

Number = {2},

Pages = {423--472},

Volume = {34},

Coden = {TPLGAF},

Fjournal = {Topology. An International Journal of Mathematics},

ISSN = {0040-9383},

Mrclass = {57M25},

Mrnumber = {MR1318886 (97d:57004)},

Mrreviewer = {Simon Willerton}

}

@InProceedings{barthicm,

Title = {Submanifolds of low codimension in projective space},

Author = {Barth, Wolf},

Booktitle = {Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), Vol. 1},

Year = {1975},

Pages = {409--413},

Publisher = {Canad. Math. Congress, Montreal, Que.},

Mrclass = {14M10},

Mrnumber = {MR0422294 (54 \#10285)},

Mrreviewer = {Robert Speiser}

}

@Book{bastoneastwood,

Title = {The {P}enrose transform},

Author = {Baston, Robert J. and Eastwood, Michael G.},

Publisher = {The Clarendon Press Oxford University Press},

Year = {1989},

Address = {New York},

Note = {Its interaction with representation theory, Oxford Science Publications},

Series = {Oxford Mathematical Monographs},

ISBN = {0-19-853565-1},

Mrclass = {32L25 (22E45 32M10 81R25)},

Mrnumber = {MR1038279 (92j:32112)},

Mrreviewer = {Vladimir Sou{\u{c}}ek},

Pages = {xvi+213}

}

@Article{solidNMR,

Title = {Experimental implementation of heat-bath algorithmic cooling using solid-state nuclear magnetic resonance},

Author = {Baugh, J. and Moussa, O. and Ryan, C. and Nayak, A. and Laflamme, R.},

Journal = {Nature},

Year = {2005},

Number = {7067},

Pages = {470--473},

Volume = {438},

Owner = {biamonte},

Publisher = {Nature Publishing Group},

Timestamp = {2016.06.17}

}

@Article{MR2339279,

Title = {Secant dimensions of minimal orbits: computations and conjectures},

Author = {Baur, Karin and Draisma, Jan and de Graaf, Willem A.},

Journal = {Experiment. Math.},

Year = {2007},

Number = {2},

Pages = {239--250},

Volume = {16},

Fjournal = {Experimental Mathematics},

ISSN = {1058-6458},

Mrclass = {14N05 (14Q15)},

Mrnumber = {MR2339279}

}

@Article{Beaudry07,

Title = {The Complexity of Tensor Circuit Evaluation},

Author = {Martin Beaudry and Markus Holzer},

Journal = {Computational Complexity},

Year = {2007},

Number = {1},

Pages = {60--111},

Volume = {16}

}

@Article{Beauville,

Title = {Fano contact manifolds and nilpotent orbits},

Author = {Beauville, Arnaud},

Journal = {Comment. Math. Helv.},

Year = {1998},

Number = {4},

Pages = {566--583},

Volume = {73},

Coden = {COMHAX},

Fjournal = {Commentarii Mathematici Helvetici},

ISSN = {0010-2571},

Mrclass = {14J45 (14L30 32J18 53C15)},

Mrnumber = {99e:14046},

Mrreviewer = {Dmitri I. Panyushev}

}

@Article{bedkihal2013transfer,

Title = {The probe technique far from equilibrium: Magnetic field symmetries of nonlinear transport},

Author = {Bedkihal, S. and Bandyopadhyay, M. and Segal, D.},

Journal = {Eur. Phys. J. B},

Year = {2013},

Number = {12},

Pages = {1--18},

Volume = {86},

Doi = {10.1140/epjb/e2013-40971-7},

Eid = {506},

Owner = {biamonte},

Publisher = {Springer},

Timestamp = {2016.06.17}

}

@Article{bell1997independent,

Title = {The “independent components” of natural scenes are edge filters},

Author = {Bell, A.J. and Sejnowski, T.J.},

Journal = {Vision research},

Year = {1997},

Number = {23},

Pages = {3327--3338},

Volume = {37},

Publisher = {Elsevier}

}

@Article{BFS,

Title = {On the discriminant variety of a projective manifold},

Author = {Beltrametti, Mauro C. and Fania, M. Lucia and Sommese, Andrew J.},

Journal = {Forum Math.},

Year = {1992},

Number = {6},

Pages = {529--547},

Volume = {4},

Coden = {FOMAEF},

Fjournal = {Forum Mathematicum},

ISSN = {0933-7741},

Mrclass = {14J40 (14C20 14N05)},

Mrnumber = {93k:14049},

Mrreviewer = {Jaroslaw A. Wisniewski}

}

@Article{bengio2009learning,

Title = {Learning deep architectures for AI},

Author = {Bengio, Y.},

Journal = {Foundations and Trends{\textregistered} in Machine Learning},

Year = {2009},

Number = {1},

Pages = {1--127},

Volume = {2},

Publisher = {Now Publishers Inc.}

}

@InProceedings{bengio2007greedy,

Title = {Greedy layer-wise training of deep networks},

Author = {Bengio, Y. and Lamblin, P. and Popovici, D. and Larochelle, H.},

Booktitle = {Advances in Neural Information Processing Systems 19: Proceedings of the 2006 Conference},

Year = {2007},

Organization = {The MIT Press},

Pages = {153},

Volume = {19}

}

@InCollection{bengio2007scaling,

Title = {Scaling learning algorithms towards AI},

Author = {Bengio, Y. and LeCun, Y.},

Booktitle = {Large-Scale Kernel Machines},

Publisher = {MIT Press},

Year = {2007},

Editor = {Bottou et al.},

Pages = {1--41}

}

@Book{MR2230995,

Title = {Geometry of quantum states},

Author = {Bengtsson, Ingemar and {\.Z}yczkowski, Karol},

Publisher = {Cambridge University Press},

Year = {2006},

Address = {Cambridge},

Note = {An introduction to quantum entanglement},

ISBN = {978-0-521-81451-5; 0-521-81451-0},

Mrclass = {81-01 (47N50 53Cxx 58Bxx 81P15 81P68)},

Mrnumber = {MR2230995},

Pages = {xii+466}

}

@Book{Zyzc,

Title = {Geometry of quantum states},

Author = {Bengtsson, Ingemar and {\.Z}yczkowski, Karol},

Publisher = {Cambridge University Press},

Year = {2006},

Address = {Cambridge},

Note = {An introduction to quantum entanglement},

ISBN = {978-0-521-81451-5; 0-521-81451-0},

Mrclass = {81-01 (47N50 53C80 58B20 81P15 81P68)},

Mrnumber = {MR2230995 (2007k:81001)},

Mrreviewer = {Paul B. Slater},

Pages = {xii+466}

}

@Article{MR1750957,

Title = {Coadjoint orbits, moment polytopes, and the {H}ilbert-{M}umford criterion},

Author = {Berenstein, Arkady and Sjamaar, Reyer},

Journal = {J. Amer. Math. Soc.},

Year = {2000},

Number = {2},

Pages = {433--466 (electronic)},

Volume = {13},

Fjournal = {Journal of the American Mathematical Society},

ISSN = {0894-0347},

Mrclass = {53D20 (14L24)},

Mrnumber = {MR1750957 (2001a:53121)},

Mrreviewer = {Michel Brion}

}

@Article{bergholm2011categorical,

Title = {Categorical quantum circuits},

Author = {Bergholm, V. and Biamonte, J.D.},

Journal = {Journal of Physics A: Math. Theor.},

Year = {2011},

Pages = {245304},

Volume = {44},

Publisher = {IOP Publishing}

}

@Article{berk:84,

Title = {On computing the determinant in small parallel time using a small number of processors},

Author = {S.~Berkowitz},

Journal = {Information Processing Letters},

Year = {1984},

Pages = {147--150},

Volume = {18}

}

@Article{best1977triply,

Title = {The triply shortened binary Hamming code is optimal},

Author = {Best, M.R. and Brouwer, A.E.},

Journal = {Discrete Mathematics},

Year = {1977},

Number = {3},

Pages = {235--245},

Volume = {17},

Publisher = {Elsevier}

}

@Article{bhattacharya2008statistics,

Title = {Statistics on Riemannian manifolds: asymptotic distribution and curvature},

Author = {Bhattacharya, A. and Bhattacharya, R.},

Journal = {Proceedings of the American Mathematical Society},

Year = {2008},

Number = {8},

Pages = {2959--2968},

Volume = {136},

Publisher = {American Mathematical Society}

}

@Article{biamonte2013invariant,

Title = {Tensor network methods for invariant theory},

Author = {Biamonte, Jacob and Bergholm, Ville and Lanzagorta, Marco},

Journal = {To appear in J. Phys. A Math Gen.},

Year = {2013}

}

@Article{biamonte2012invariant,

Title = {Invariant Theory for Matrix Product States},

Author = {Biamonte, Jacob and Bergholm, Ville and Lanzagorta, Marco},

Journal = {arXiv preprint arXiv:1209.0631},

Year = {2012}

}

@Article{biamonte2011categorical,

Title = {Categorical Tensor Network States},

Author = {Biamonte, J.D. and Clark, S.R. and Jaksch, D.},

Journal = {AIP Advances},

Year = {2011},

Number = {4},

Pages = {042172--042172},

Volume = {1},

Publisher = {Author (s). This article is distributed under a Creative Commons Attribution 3.0 Unported License.}

}

@Article{BL07,

Title = {Realizable {H}amiltonians for Universal Adiabatic Quantum Computers},

Author = {J. D. Biamonte and P. J. Love},

Journal = PRA,

Year = {2008},

Note = {\href{http://arxiv.org/abs/0704.1287}{ arXiv:0704.1287}},

Number = {1},

Pages = {012352},

Volume = {8},

Owner = {biamonte},

Timestamp = {2016.06.17}

}

@Book{Billingsley,

Title = {Probability and measure},

Author = {Billingsley, P.},

Publisher = {Wiley and Sons},

Year = {1995},

Edition = {Third},

Series = {Wiley series in probability and mathematical statistics}

}

@Article{MR87j:15055,

Title = {Border rank of {$m\times n\times (mn-q)$} tensors},

Author = {Bini, Dario},

Journal = {Linear Algebra Appl.},

Year = {1986},

Pages = {45--51},

Volume = {79},

Coden = {LAAPAW},

Fjournal = {Linear Algebra and its Applications},

ISSN = {0024-3795},

Mrclass = {15A72},

Mrnumber = {87j:15055},

Mrreviewer = {M. Pearl}

}

@Article{MR87g:65053,

Title = {Tensor and border rank of certain classes of matrices and the fast evaluation of determinant inverse matrix and eigenvalues},

Author = {Bini, Dario},

Journal = {Calcolo},

Year = {1985},

Number = {1},

Pages = {209--228},

Volume = {22},

Coden = {CDABAE},

Fjournal = {Calcolo. A Quarterly on Numerical Analysis and Theory of Computation},

ISSN = {0008-0624},

Mrclass = {65F15},

Mrnumber = {87g:65053},

Mrreviewer = {M. Lotkin}

}

@InCollection{MR82e:68037,

Title = {Border rank of a {$p\times q\times 2$} tensor and the optimal approximation of a pair of bilinear forms},

Author = {Bini, D.},

Booktitle = {Automata, languages and programming (Proc. Seventh Internat. Colloq., Noordwijkerhout, 1980)},

Publisher = {Springer},

Year = {1980},

Address = {Berlin},

Pages = {98--108},

Series = {Lecture Notes in Comput. Sci.},

Volume = {85},

Mrclass = {68C25 (12-04 15A69)},

Mrnumber = {82e:68037},

Mrreviewer = {B. N. Moyls}

}

@Article{MR88g:68048,

Title = {Tensor rank and border rank of band {T}oeplitz matrices},

Author = {Bini, D. and Capovani, M.},

Journal = {SIAM J. Comput.},

Year = {1987},

Number = {2},

Pages = {252--258},

Volume = {16},

Coden = {SMJCAT},

Fjournal = {SIAM Journal on Computing},

ISSN = {0097-5397},

Mrclass = {68Q25 (15A57)},

Mrnumber = {88g:68048},

Mrreviewer = {Thomas Lickteig}

}

@Article{MR534068,

Title = {{$O(n\sp{2.7799})$} complexity for {$n\times n$} approximate matrix multiplication},

Author = {Bini, Dario and Capovani, Milvio and Romani, Francesco and Lotti, Grazia},

Journal = {Inform. Process. Lett.},

Year = {1979},

Number = {5},

Pages = {234--235},

Volume = {8},

Coden = {IPFLAT},

Fjournal = {Information Processing Letters},

ISSN = {0020-0190},

Mrclass = {68C05 (68C25)},

Mrnumber = {MR534068 (80h:68024)}

}

@Article{Bini1980,

Title = {Approximate solutions for the bilinear form computational problem},

Author = {Bini, Dario and Lotti, Grazia and Romani, Francesco},

Journal = {SIAM J. Comput.},

Year = {1980},

Number = {4},

Pages = {692--697},

Volume = {9},

Coden = {SMJCAT},

Fjournal = {SIAM Journal on Computing},

ISSN = {0097-5397},

Mrclass = {68C25 (65F30)},

Mrnumber = {MR592760 (82a:68065)}

}

@Article{MR592760,

Title = {Approximate solutions for the bilinear form computational problem},

Author = {Bini, Dario and Lotti, Grazia and Romani, Francesco},

Journal = {SIAM J. Comput.},

Year = {1980},

Number = {4},

Pages = {692--697},

Volume = {9},

Coden = {SMJCAT},

Fjournal = {SIAM Journal on Computing},

ISSN = {0097-5397},

Mrclass = {68C25 (65F30)},

Mrnumber = {MR592760 (82a:68065)}

}

@Article{Bl2,

Title = {On the complexity of the multiplication of matrices of small formats},

Author = {Bl{\"a}ser, Markus},

Journal = {J. Complexity},

Year = {2003},

Number = {1},

Pages = {43--60},

Volume = {19},

Fjournal = {Journal of Complexity},

ISSN = {0885-064X},

Mrclass = {68Q17 (16Z05)},

Mrnumber = {MR1951322 (2003k:68040)},

Mrreviewer = {Peter B{\"u}rgisser}

}

@InCollection{Bl1,

Title = {A {$\frac52 n\sp 2$}-lower bound for the rank of {$n\times n$}-matrix multiplication over arbitrary fields},

Author = {Bl{\"a}ser, Markus},

Booktitle = {40th Annual Symposium on Foundations of Computer Science (New York, 1999)},

Publisher = {IEEE Computer Soc., Los Alamitos, CA},

Year = {1999},

Pages = {45--50},

Mrclass = {68Q17 (68Q25 68W30)},

Mrnumber = {MR1916183}

}

@Article{blondel2005decidable,

Title = {Decidable and undecidable problems about quantum automata},

Author = {Blondel, V.D. and Jeandel, E. and Koiran, P. and Portier, N.},