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") and EuroSQIP ("European superconducting quantum information processor"). It provides a diversified code basis for the classical simulation of realistic quantum computations. It also describes results of Quantware group 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.

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
  submitted to Phys. Rev. E 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
  submitted to Eur. Phys. J. B (here)
  (contribution date 08/04/2010)
• QNR17: A.D.Chepelianskii, Towards physical laws for software architecture: arxiv:1003.5455
  submitted to Phys. Rev. (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
  submitted (here)
  (contribution date 21/06/2010)