Quantware Library
Quantum Numerical Recipes
Quantum computing and quantum information processing can
be simulated with the given codes on a classical computer for a
moderate number of qubits (~20) in presence of realistic internal
imperfections and external decoherence. This library is established in
the framework of the EC IST-FET projects EDIQIP ("Effects of
decoherence and imperfections for quantum information processing"),
EuroSQIP ("European superconducting quantum information
processor"), FET Open Project NADINE
("New tools and algorithms for directed network analysis").
It provides a diversified code basis for
the classical simulation of realistic
quantum computations. It also describes results of
on large matrices and networks. Quantware Library is opened at 19/12/2005.
Users of the Quantum Numerical Recipes
are asked to cite the Quantware Library in their publications.
The library is coordinated by Klaus Frahm and
Dima
Shepelyansky.
2001-2003 Early web pages
- QNRXX1:
Transport on Galton board with dissipation
A.D.Chepelianskii, D.L.Shepelyansky (2001)
(here)
(contribution date 2001)
- QNRXX2:
The HAL qunatum speech,
J.W.Lee, A.D.Chepelianskii, D.L.Shepelyansky (2003)
(here)
(contribution date 2003)
2005 - 2006
- QNR1:
Husimi functions and effects of static errors on the
simulation of the quantum kicked tent map, Klaus M. Frahm, Robert
Fleckinger, Dima L. Shepelyansky, Quantum
chaos and random matrix theoryfor fidelity decay in quantum
computationswith static imperfections, quant-ph/0312120
Eur. Phys. J. D 29, 139 (2004), Download
code: tar.gz, zip, README
(contribution date 19/12/2005)
- QNR2:
Transparent simulation of quantum algorithms, A.A.
Pomeransky, D.L. Shepelyansky and O.V. Zhirov, Phase diagram for the
Grover algorithm with static imperfections, quant-ph/0403138,
Eur. Phys. J. D 31, 131-135 (2004); Effects
of decoherence and
imperfections for quantum algorithms, contribution to EQIS04, quant-ph/0407264; Dissipative
decoherence in the Grover algorithm, quant-ph/0511010,
Eur. Phys. J. D 38, 405 (2006). Download
code: tar.gz, zip,
README
(contribution date 19/12/2005)
- QNR3:
Simulation of the quantum privacy amplification protocol
(QPA) with a noisy apparatus, G. Benenti, S. Felloni and G. Strini, Effects of single-qubit quantum noise on
entanglement purification, preprint quant-ph/0505177,
Eur. Phys. J. D 38, 389 (2006), Download
code: tar.gz, zip, README
(contribution date 19/12/2005)
- QNR4:
Simulation of the
quantum trajectories approach, Gabriel G. Carlo, Giuliano Benenti,
Giulio Casati, Teleportation in a
noisy environment: a quantum trajectories approach quant-ph/0307065,
Phys. Rev. Lett. 91, 257903 (2003); Simulating
noisy quantum protocols with quantum trajectories, quant-ph/0402102,
Phys. Rev. A 69, 062317 (2004), Download
code: tar.gz, zip,
README
(contribution date 19/12/2005)
- QNR5:
Simulation of the quantum sawtooth map with noisy gates: D.
Rossini, G. Benenti and G. Casati, Classical
versus quantum errors in
quantum computation of dynamical systems, quant-ph/0405189,
Phys. Rev. E. 70, 056216 (2004); G. Benenti, G. Casati, S. Montangero
and D.L. Shepelyansky, Dynamical
localization simulated on a few-qubit
quantum computer, quant-ph/0210052,
Phys. Rev. A 67, 052312 (2003). Download
code: tar.gz, zip,
README
(contribution date 19/12/2005)
- QNR6:
Calculation of concurrence for a bipartite quantum system, S.
Bettelli and D.L. Shepelyansky, Entanglement
versus relaxation and decoherence in a quantum algorithm for quantum
chaos, quant-ph/0301086,
Phys.Rev.A 67, 054303 (2003), Download
code: tar.gz, zip
(contribution date 19/12/2005)
- QNR7:
Quantum simulation of the Kicked Harper Model: Benamin Levi
and Bertrand Georgeot, Quantum
Computation of a Complex System : the Kicked Harper Model: quant-ph/0409028,
Physical Review E 70 (2004) 056218, Download
code: tar.gz, zip
(contribution date 19/12/2005)
- QNR8:
Simulation of quantum maps with localization and
delocalization in small-world networks, O. Giraud, B. Georgeot, D.L.
Shepelyansky, Quantum computing of
delocalization in small-world networks, quant-ph/0503188,
Phys. Rev. E 72, 036203 (2005). Download
code: tar.gz, zip, README
(contribution date 19/12/2005)
- QNR9:
Pauli-Random-Error-Correction (PAREC)-method
to eliminate coherent errors produced by static imperfections, O. Kern,
G. Alber, D.L. Shepelyansky, Quantum
error correction of coherent errors by randomization: quant-ph/0407262
Eur. Phys. J. D 32, 153 (2005) Download code: tar.gz, zip,
README
(contribution date 19/12/2005)
- QNR10:
The Q-Language by Stefano Bettelli
libquantum-library
(included at date 19/12/2005/)
2007
- QNR11:
Simulations of imperfections for Shor's factorization algorithm,
I.Garcia-Mata, K.M.Frahm, D.L.Shepelyansky,
Effects of imperfections
for Shor's factorization algorithm:
quant-ph/0701169
Phys. Rev. A 75, 052311 (2007); 76, 039904(E) (2007)
Download code:
tar.gz
(contribution date 25/10/2007)
- QNR12:
Simulations of phase estimation algorithm,
M. Dobsicek, G. Johansson, V.S. Shumeiko, G. Wendin,
Arbitrary accuracy iterative
phase estimation algorithm as a two qubit benchmark:
quant-ph/0510214
Phys. Rev. A 76, 030306(R) (2007)
Download code:
tar.gz
(contribution date 26/10/2007)
2008
- QNR13:
Effects of static imperfections for
the quantum phase estimation algorithm,
I.Garcia-Mata, D.L.Shepelyansky,
Quantum phase estimation
algorithm in presence of static imperfections:
arxiv:0711.1756
Eur. Phys. J. D 47, 151 (2007)
Download code: tar.gz
(contribution date 12/12/2008)
2009
- QNR14:
Shor's factorization algorithm in presence of static imperfections (part 2),
I.Garcia-Mata, K.Frahm and D.L.Shepelyansky,
Shor's factorization algorithm with a single qubit and imperfections:
arxiv:0809.4416
Phys. Rev. A 78, 062323 (2008)
Download code: tar.gz
(contribution date 6/01/2009)
2010
- QNR15:
Neuron links of brain, generated by E.M.Izhikevich (Aug, 2009),
used in D.L.Shepelyansky and O.V.Zhirov,
Towards Google matrix of brain:
arxiv:1002.4583
Phys. Lett. A 374, 3206 (2010)
Download code: tar.gz (links are given in two columns from neuron j to neuron i)
(contribution date 23/02/2010)
- QNR16:
High resolution figures for K.M.Frahm and D.L.Shepelyansky,
Ulam method for the Chirikov standard map:
arxiv:1004.1349;
update Poincare recurrences and Ulam method for the Chirikov standard map;
arXiv:1302.2761[nlin.CD]
Eur. Phys. J. B 76, 57 (2010); arXiv:1302.2761[nlin.CD]
(here)
(contribution date 08/04/2010, update 12/02/2013)
- QNR17:
A.D.Chepelianskii,
Towards physical laws for software architecture:
arxiv:1003.5455; data are given
(here)
(contribution date 28/04/2010)
- QNR18:
A.O.Zhirov, O.V.Zhirov and D.L.Shepelyansky
Two-dimensional ranking of Wikipedia articles:
arxiv:1006.4270
Eur. Phys. J. B 77, 523 (2011)
(here)
(contribution date 21/06/2010)
- QNR19:
M.Abel and D.L.Shepelyansky
Google matrix of business process management:
arxiv:1009.2631
Eur. Phys. J. B v.84, p.493 (2011)
(here)
(contribution date 14/09/2010)
2011
- QNR20:
L.Ermann and D.L.Shepelyansky
Google matrix of the world trade network:
arxiv:1103.5027
Acta Physica Polonica A v.120(6A), pp.A158-A171 (2011)
(here)
(contribution date 25/03/2011)
- QNR21:
L.Ermann, A.D.Chepelianskii and D.L.Shepelyansky
Toward two-dimensional search engines:
arxiv:1106.6215
J. Phys. A: Math. Theor. v.45, p.275101 (2012)
(here)
(contribution date 06/06/2011)
2012
- QNR22:
K.M.Frahm, A.D.Chepelianskii and D.L.Shepelyansky
PageRank of integers:
arxiv:1205.6343
J. Phys. A Math. Theor. v.45, p.405101 (2012)
(here)
(contribution date 29/05/2012)
- QNR23:
K.M.Frahm and D.L.Shepelyansky
Google matrix of Twitter:
arxiv:1207.3414
Eur. Phys. J. B v.85, p.355 (2012)
(here)
(contribution date 14/07/2012)
2013
- QNR24:
V.Kandiah and D.L.Shepelyansky
Google matrix analysis of DNA sequences
arxiv:1301.1626
v.8(5), p. e61519 (2013)
(here)
(contribution date 09/01/2013)
- QNR25:
Y.-H.Eom, K.M.Frahm, A.Benczur and D.L.Shepelyansky
Time evolution of Wikipedia network ranking
arxiv:1304.6601
Eur. Phys. J. B v.86, p.492 (2013)
(here)
(contribution date 24/04/2013)
- QNR26:
Y.-H.Eom and D.L.Shepelyansky
Highlighting entanglement of cultures via ranking
of multilingual Wikipedia articles
arxiv:1306.6259
PLoS ONE v.8(10), p.e74554 (2013)
(here)
(contribution date 03/07/2013)
- QNR27:
V.Kandiah and D.L.Shepelyansky
Google matrix analysis of C.elegans neural network
arxiv:1311.2013
Phys. Lett. A v.378, p.1932 (2014)
(here)
(contribution date 08/11/2013)
2014
- QNR28:
Y.-H.Eom, P.Aragon, D.Laniado, A.Kaltenbrunner, S.Vigna and D.L.Shepelyansky
Interactions of cultures and top people of Wikipedia
from ranking of 24 language editions
arxiv:1405/7183
PLoS ONE v.10(3), p.e0114825 (2015)
(here)
(contribution date 28/05/2014)
2015
- QNR29:
L.Ermann and D.L.Shepelyansky
Google matrix analysis of
the multiproduct world trade network
arxiv:1501.03371
Eur. Phys. J. B. v.88, p.84 (2015)
(here)
(contribution date 05/01/2015)
- QNR30:
V.Kandiah, H.Escaith and D.L.Shepelyansky
Google matrix of the world network of economic activities
arxiv:1504.06773
Eur. Phys. J. B v.88, p.186 (2015)
(here)
(contribution date 24/04/2015)
- QNR31:
L.Ermann, E.Vergini and D.L.Shepelyansky
Dynamical thermalization
of Bose-Einstein condensate in Bunimovich stadium
arxiv:1505.05130
Europhys. Lett. v.111, p.50009 (2015)
(here)
(contribution date 18/05/2015)
- QNR32:
K.M.Frahm and D.L.Shepelyansky
Freed by interaction kinetic states
in the Harper model
arxiv:1509.02788
Eur. Phys. J. B v.88, p.337 (2015)
(here)
(contribution date 09/09/2015)
- QNR33:
K.M.Frahm and D.L.Shepelyansky
Delocalization of two interacting particles
in the two-dimensional Harper model
arxiv:1510.01104
Eur. Phys. J. B v.89, p.8 (2016)
(here)
(contribution date 05/10/2015)
- QNR34:
J.Lages, A.Patt and D.L.Shepelyansky
Wikipedia Ranking of World Universities
arxiv:1511.09021
Eur. Phys. J. B v.89, p.69 (2016)
(here)
(contribution date 01/12/2015)
2016
- QNR35:
K.M.Frahm
Eigenfunction structure and scaling of two interacting particles in the one-dimensional Anderson model
arxiv:1602.08257
Eur. Phys. J. B v.89, p.115 (2016)
(here)
(contribution date 26/02/2016)
- QNR36:
L.Ermann, E.Vergini and D.L.Shepelyansky
Dynamics and thermalization of Bose-Einstein condensate in Sinai oscillator trap
arxiv:1605.02831
submitted to Phys. Rev. A May 9 (2016)
(here)
(contribution date 09/05/2016)
- QNR37:
K.M.Frahm, K.Jaffres-Runser and D.L.Shepelyansky
Wikipedia mining of hidden links between political leades
arxiv:1609.01948
submitted to Eur. Phys. J. B Sept 7 (2016)
(here)
(contribution date 07/09/2016)
- QNR38:
J.Lages, D.L.Shepelyansky and A.Zinovyev,
Inferring hidden causal relations
between pathway members using reduced Google matrix of
directed biological networks
bioRxiv
submitted Dec 22 (2016); PLOS ONE v.13(1), p.e0190812 (2018)
(here)
(contribution date 20/12/2016)
2017
- QNR39:
D.L.Shepelyansky,
Wikipedia networks: quantware articles and
data sets
(here)
(contribution date 07/07/2017)
- QNR40:
K.M.Frahm and D.L.Shepelyansky
Wikipedia networks of 24 editions of 2017
(here)
(contribution date 09/10/2017)
- QNR41:
S. El Zant, K.M.Frahm, K.Jaffres-Runser and D.L.Shepelyansky
Analysis of world terror networks from the reduced Google matrix of Wikipedia
arxiv:1710.03504
submitted to Eur. Phys. J. B Oct 10 (2017); Eur. Phys. J. B v.91, p.7 (2018)
(here)
(contribution date 10/10/2017)
- QNR42:
L.Ermann, K.M.Frahm, and D.L.Shepelyansky
Google matrix of Bitcoin network
arxiv:1711.11499
Eur. Phys. J. B v.91, p.127 (2018)
(here)
(contribution date 30/11/2017)
2018
- QNR43:
S. El Zant, K.Jaffres-Runser K.M.Frahm and D.L.Shepelyansky
Interactions and influence of world painters
from the reduced Google matrix of Wikipedia networks
arxiv:1807.01255
IEEE Access v.6, p.47735 (2018)
(here)
(contribution date 03/07/2018)
2019
- QNR44:
M.Y.Zakharov, D.Demidov and D.L.Shepelyansky
Wigner crystal diode
arxiv:1901.05231
Phys. Rev. B v.99, p.155416 (2019)
(here)
(contribution date 15/01/2019)
- QNR45:
D.Demidov, K.M.Frahm, and D.L.Shepelyansky
What is the central bank of Wikipedia ?
arxiv:1902.07920
(here)
(contribution date 21/02/2019)
- QNR46:
A.Zinovyev, U.Czerwinska, L.Cantini, E.Barillot, K.M.Frahm, and D.L.Shepelyansky
Collective intelligence defines
biological functions in Wikipedia as
communities in the hidden protein connection network
dx.doi.org/10.1101/618447
(here)
(contribution date 08/04/2019)
- QNR47:
K.M.Frahm, L.Ermann and D.L.Shepelyansky
Dynamical thermalization
of interacting fermionic atoms in a Sinai-oscillator trap
arxiv:1907.06711
MDPI Condens. Matter v.4, p.76 (2019) Special Issue in memory
of Shmuel Fishman
(here)
(contribution date 07/07/2019)
- QNR48:
K.M.Frahm, and D.L.Shepelyansky
Linear response theory for
Google matrix
arxiv:1908.08924
(here)
(contribution date 23/08/2019)
- QNR49:
K.M.Frahm, and D.L.Shepelyansky
Google matrix analysis of bi-functional SIGNOR
network of protein-protein interactions
bioRxiv:https://doi.org/10.1101/750695
(here)
(contribution date 27/08/2019)
2020
- QNR50:
K.M.Frahm and D.L.Shepelyansky
Electron pairing by Coulomb repulsion in narrow band structures
arxiv:2002.06556
Phys. Rev. Research v.2, p.023354 (2020)
(here)
(contribution date 16/02/2020)
- QNR51:
K.M.Frahm, and D.L.Shepelyansky
Coulomb electron pairing in
a tight-binding model of La-based cuprate superconductors
arxiv:2007.12414 at
Eur. Phys. J. B v.94, o.29 (2021)
also Cooper approach to pair formation
in a tight-binding model
of La-based cuprate superconductors
arxiv:2209.09057
(here)
(contribution date 23/07/2020; 19/09/2022)
2021
- QNR52:
J.Loye, K.Jaffres-Runser and D.L.Shepelyansky
Post-Brexit power of European Union
from the world trade network analysis
arxiv:2105.00939
submitted in Feb-May 2021, accepted to BIS Conference (2021)
(here)
(contribution date XX/02/2021)
- QNR53:
E.Kotelnikova, K.M.Frahm, J.Lages and D.L.Shepelyansky
Statistical properties of the MetaCore
network of protein-protein interactions
bioRxiv2021
accepted to Conference on Complex Systems, Dijon, France May (2021)
(here)
(contribution date 26/03/2021)
- QNR54:
E.Kotelnikova, K.M.Frahm, D.L.Shepelyansky and O.Kunduzova,
Fibrosis protein-protein interactions from
Google matrix analysis of MetaCore network
bioRxiv2021;
(here)
(contribution date 19/10/2021)
2022
- QNR55:
K.M.Frahm and D.L.Shepelyansky
Nonlinear perturbation of Random Matrix Theory
arxiv:2212.11955
submitted Dec 2022
(here)
(contribution date 22/12/2022)