>Scientific publications of Dima Shepelyansky

Publications: 7. Quantum Computers

(Winter forest, Akademgorodok)

1999 - 2000

7.1. B.Georgeot and D.L.Shepelyansky, "Quantum chaos border for quantum computing", Phys. Rev. E v. 62 (2000) p.3504 (quant-ph/9909074) (here) (color version (here) )

7.2. B.Georgeot and D.L.Shepelyansky, "Emergence of quantum chaos in the quantum computer core and how to manage it", Phys. Rev. E v.62 (2000) 6366 (quant-ph/0005015) (here) (color version (here) )

7.3. D.L.Shepelyansky, "Quantum chaos & quantum computers" Nobel Symposium on Quantum Chaos Y2K, June 2000, Sweden, Physica Scripta v. T90 (2001) p.112 - 120 (quant-ph/0006073) + (here) ; [proofs (here) ; other (here) ]

2001

7.4. P.H.Song and D.L.Shepelyansky, "Quantum computing of quantum chaos and imperfection effects", Phys. Rev. Lett. v. 86 (2001) p. 2162 - 2165 (quant-ph/0009005) (here)

7.5. G.Benenti, G.Casati and D.L.Shepelyansky, "Emergence of Fermi-Dirac thermalization in the quantum computer core", Eur. Phys. J. D v. 17 (2001) p. 265 - 272 (quant-ph/0009084) (here)

7.6. B.Georgeot and D.L.Shepelyansky, "Exponential gain in quantum computing of quantum chaos and localization", Phys. Rev. Lett. v. 86 (2001) p. 2890 - 2893 (quant-ph/0010005) (here)

7.7. B.Georgeot and D.L.Shepelyansky, ``Quantum computing of classical chaos: smile of the Arnold-Sch\"odinger cat''" (quant-ph/0101004)
[this is the first quantum paper of Millennium III (1 Jan 2001 00:01:12 GMT) ];
``Stable quantum computation of unstable classical chaos'' Phys. Rev. Lett. v.86 (2001) p.5393 - 5396 (here) (color version (here) ) ; [related ``Efficient quantum computation of high harmonics of the Liouville density distribution'' quant-ph/0110142, Georgeot and Shepelyansky reply, Phys. Rev. Lett. v.88 (2002) p.219802 (here) ]

7.8. B.Georgeot and D.L.Shepelyansky, "Efficient quantum computing insensitive to phase errrors", in ``Electronic correlations: from meso- to nano-physics'' Eds. T.Martin, G.Montambaux, and J.T.Thanh Van, EDP Sciences, Les Ulis, 2001, p. 557 - 562 (Proceedings of the XXXVIth rencontres de Moriond, 2001 (here) ); (quant-ph/0102082) (here)

2001 - 2002

7.9. B.Georgeot and D.L.Shepelyansky, ``Quantum computer inverting time arrow for macroscopic systems'', Eur. Phys. J. D v. 19 (2002) p.263-266 (quant-ph/0105149) (here)

7.10. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, ``Efficient quantum computing of complex dynamics'', Phys. Rev. Lett. v.87 (2001) p.227901 [Fig.1 is on the cover page of Phys. Rev. Lett. of 26 Nov 2001] (quant-ph/0107036) (here) (original color version (here) )

7.11. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, ``Eigenstates of operating quantum computer: hypersensitivity to static imperfections'', Eur. Phys. J. D v.20 (2002) p. 293-296 (quant-ph/0112132) (here) (color version (here) )

7.12. A.D.Chepelianskii and D.L.Shepelyansky, "Schrodinger cat animated on a quantum computer" (quant-ph/0202113) or "Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers" Phys. Rev. A v.66 (2002) p.054301 (here) (original color version (here) )

2003

7.13. M.Terraneo, B.Georgeot and D.L.Shepelyansky, "Strange attractor simulated on a quantum computer", Eur. Phys. J. D v.22 (2003) p.127-130 (quant-ph/0203062) (here)

7.14. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, "Statistical Properties of Eigenvalues for an Operating Quantum Computer with Static Imperfections ", Eur. Phys. J. D v.22 (2003) pp.285-293 (quant-ph/0206130) (here) (color version (here) )

7.15. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, ``Dynamical localization simulated on a few qubits quantum computer'', Phys. Rev. A v.67 (2003) p.052312 (quant-ph/0210052) (here)

7.16. B.Levi, B.Georgeot and D.L.Shepelyansky, ``Quantum computing of quantum chaos in the kicked rotator model'', Phys. Rev. E v.67 (2003) p.046220 (quant-ph/0210154) (here)

7.17.S.Bettelli and D.L.Shepelyansky, ``Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos'', Phys. Rev. A v. 67 (2003) p.054303 (quant-ph/0301086) (here)

7.18. M.Terraneo and D.L.Shepelyansky, ``Imperfection effects for multiple applications of the quantum wavelet transform'', Phys. Rev. Lett. v.90 (2003) p.257902 (quant-ph/0303043) (here) (original color extended version (here) )

2004

7.18. A.A.Pomeransky and D.L.Shepelyansky, ``Quantum computation of the Anderson transition in the presence of imperfections'', Phys. Rev. A v.69 (2004) p.014302 (quant-ph/0306203) (here)

7.19. J.W.Lee, A.D.Chepelianskii and D.L.Shepelyansky, ``Treatment of sound on quantum computers'', (quant-ph/0309018) (here) , Proceedings of ERATO Conference on Quantum Information Science 2004, Tokyo, pp. 91-92 (2004); and "Applications of quantum chaos to realistic quantum computations and sound treatment on quantum computers", in ``Noise and information in nanoelectronics, sensors, and standards II'' Proceedings of SPIE Eds. J.M.Smulko, Y.Blanter, M.I.Dykman, L.B.Kish, v.5472, pp.246-251 (2004) (here) ; (color here) ;

7.20. M.Terraneo and D.L.Shepelyansky, ``Dynamical localization and repeated measurements in a quantum computation process'', Phys. Rev. Lett. v.92 (2004) p.037902 (quant-ph/0309192) (here)

7.21. K.M.Frahm, R.Fleckinger and D.L.Shepelyansky, ``Quantum chaos and random matrix theory for fidelity decay in quantum computations with static imperfections'', Eur. Phys. J. D v.29 (2004) p.139-155 [highlight paper of the issue] (quant-ph/0312120) (here) ;
"Universal regime of fidelity decay in realistic quantum computations", in ``Quantum information and decoherence in nanosystems'' Eds. D.C.Glattli, M.Sanquer, and J.T.Thanh Van, The Gioi Publ., 2004, p. 167 - 171 (Proceedings of the XXXIXth Rencontres de Moriond, 2004 (here) )

7.22. A.A.Pomeransky, O.V.Zhirov and D.L.Shepelyansky, ``Phase diagram for the Grover algorithm with static imperfections'', Eur. Phys. J. D v.31, (2004) p.131-135 (quant-ph/0403138) (here) ; (related A.A.Pomeransky, O.V.Zhirov and D.L.Shepelyansky, ``Effects of decoherence and imperfections for quantum algorithms'', Proceedings of ERATO Conference on Quantum Information Science 2004, Tokyo, pp. 171-172 (2004); (quant-ph/0407264) (here))

2005

7.23. O.Kern, G.Alber and D.L.Shepelyansky, "Quantum error correction of coherent errors by randomization", Eur. Phys. J. D v.32, p.153-156 (2005) (quant-ph/0407262) (here)

7.24. M.Terraneo, B.Georgeot and D.L.Shepelyansky, "Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment", Phys. Rev. E v.71, p.066215 (2005) (quant-ph/0412123) (here)

7.25. J.W.Lee and D.L.Shepelyansky, ``Quantum chaos algorithms and dissipative decoherence with quantum trajectories'', Phys. Rev. E, v.71, p.056202 (2005) (quant-ph/0501120) (here)

7.26. J.W.Lee, D.V.Averin, G.Benenti and D.L.Shepelyansky, ``A model of deterministic detector with dynamical decoherence'', (quant-ph/0501153); ``Model of a deterministic detector and dynamical decoherence'', Phys. Rev. A v.72, p.012310 (2005) (here)

7.27. O.Giraud, B.Georgeot and D.L.Shepelyansky, ``Quantum computing of delocalization in small-world networks'', Phys. Rev. E v.72, p.036203 (2005) (quant-ph/0503188) (here)

2006

7.28. J.Lages and D.L.Shepelyansky, "Suppression of quantum chaos in a quantum computer hardware", Phys. Rev. E v.74, p.026208 (2006) (cond-mat/0510392) (here)

7.29. O.V.Zhirov and D.L.Shepelyansky, "Dissipative decoherence in the Grover algorithm", Eur. Phys. J. D v.38, p.405-408 (2006) (quant-ph/0511010) (here)

2007

7.29. I.Garcia-Mata, K.M.Frahm and D.L.Shepelyansky, "Effects of imperfections for Shor's factorization algorithm", Phys. Rev. A v.75, p.052311 (2007) (here) ; ERRATUM: Phys. Rev. A v.76, p.039904(E) (2007) (here) (quant-ph/0701169v3 (here) )

2008

7.30. O.V.Zhirov and D.L.Shepelyansky, "Synchronization and bistability of qubit coupled to a driven dissipative oscillator", Phys. Rev. Lett. v.100, p.014101 (2008) ( (here) ) (arxiv:0710.1967[cond-mat])

7.31. I.Garcia-Mata and D.L.Shepelyansky, "Quantum phase estimation algorithm in presence of static imperfections", Eur. Phys. J. D v.47, pp.151-156 (2008) (highlight paper (here) ); (arxiv:0711.1756[quant-ph] (here) )

7.32. I.Garcia-Mata, K.Frahm and D.L.Shepelyansky, "Shor's factorization algorithm with a single qubit and imperfections", Phys. Rev. A v.78, p.062323 (2008) (here) ; (arxiv:0809.4416[quant-ph] (here) )

2009

7.33. O.V.Zhirov and D.L.Shepelyansky, "Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator", Phys. Rev. B v.80, p.014519 (2009) (here) ; (arxiv:0904.0289[cond-mat] (here) )

2018

7.34. K.M.Frahm and D.L.Shepelyansky, "Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole" submitted to Eur. Phys. J. B 28 Apr (2018) (arXiv:1804.10766 [cond-mat.str-el] (here) )

2019

7.35. D.L.Shepelyansky, "Quantum computer with cold ions in the Aubry pinned phase", Eur. Phys. J. D v.73, p.149 (2019) (here) (arXiv:1902.09850[quant-ph] (here) ; v2 (here) )

2020

7.36. J.Loye, J.Lages and D.L.Shepelyansky, "Properties of phonon modes of ion trap quantum computer in the Aubry phase", Phys. Rev. A v.101, p.032349 (2020) (here) (arXiv:2002.03730[cond-mat.quant-gas] (here) )

7.37. L.Ermann, G.G.Carlo, A.D.Chepelianskii and D.L.Shepelyansky, "Jaynes-Cummings model under monochromatic driving", Phys. Rev. A v.102, p.033729 (2020) (here) (arXiv:2003.09803[quant-ph] (here) )