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Volumn 80, Issue 12, 2009, Pages

Implementation of the quantum-walk step operator in lateral quantum dots

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EID: 70350731212     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.125309     Document Type: Article
Times cited : (4)

References (51)
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    • Two recent reviews on quantum walks are 10.1080/00107151031000110776;
    • Two recent reviews on quantum walks are J. Kempe, Contemp. Phys. 44, 307 (2003) 10.1080/00107151031000110776
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    • 10.1103/PhysRevA.72.033815
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    • (2005) Phys. Rev. A , vol.72 , pp. 033815
    • Agarwal, G.S.1    Pathak, P.K.2
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    • Pathak, P.K.1    Agarwal, G.S.2
  • 28
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    • A recent proposal for implementation of a quantum algorithm using NAND operations in a tree of quantum dots relies on the continuous time quantum walk, see arXiv:0708.1484 (unpublished).
    • A recent proposal for implementation of a quantum algorithm using NAND operations in a tree of quantum dots relies on the continuous time quantum walk, see J. M. Taylor, arXiv:0708.1484 (unpublished).
    • Taylor, J.M.1
  • 29
    • 70350738539 scopus 로고    scopus 로고
    • In Ref. the effects of dephasing are taken into account in a phenomenological way and modeled by a dephasing rate τ0.
    • In Ref. the effects of dephasing are taken into account in a phenomenological way and modeled by a dephasing rate τ0.
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    • 10.1103/PhysRevB.76.195318;
    • A. Romito and Y. Gefen, Phys. Rev. B 76, 195318 (2007). In our model fluctuations of the tunnel amplitudes and energy differences, which are both caused by gate voltage and background charge fluctuations, are indeed independent 10.1103/PhysRevB.76.195318
    • (2007) Phys. Rev. B , vol.76 , pp. 195318
    • Romito, A.1    Gefen, Y.2
  • 33
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    • This assumption is inspired by ab initio electronic-structure calculations of double quantum dots with realistic gate profiles [see, e.g.
    • This assumption is inspired by ab initio electronic-structure calculations of double quantum dots with realistic gate profiles [see, e.g., M. Stopa, A. Vidan, T. Hatano, S. Tarucha, and R. M. Westervelt, Physica E (Amsterdam) 34, 616 (2006), and references therein]
    • (2006) Physica e (Amsterdam) , vol.34 , pp. 616
    • Stopa, M.1    Vidan, A.2    Hatano, T.3    Tarucha, S.4    Westervelt, R.M.5
  • 34
    • 0036455576 scopus 로고    scopus 로고
    • We neglect 1/f noise, which becomes important at time scales [estimated as τ1/f =□/ 2π□ ωσ kB T] for a sub-Ohmic bath, see 10.1238/Physica.Topical.102a00147;
    • We neglect 1/f noise, which becomes important at time scales [estimated as τ1/f =□/ 2π□ ωσ kB T] for a sub-Ohmic bath, see A. Shnirman, Y. Makhlin, and G. Schön, Phys. Scr. T102, 147 (2002)] which are larger than the duration of the step operator for the parameters used in Fig. 2 10.1238/Physica.Topical.102a00147
    • (2002) Phys. Scr. , vol.102 , pp. 147
    • Shnirman, A.1    Makhlin, Y.2    Schön, G.3
  • 35
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    • We also neglect fluctuations in the nuclear-spin environment since these are slow [on the order of microseconds or more, see, e.g., 10.1103/PhysRevB.76. 035315
    • We also neglect fluctuations in the nuclear-spin environment since these are slow [on the order of microseconds or more, see, e.g., J. M. Taylor, J. R. Petta, A. C. Johnson, A. Yacoby, C. M. Marcus, and M. D. Lukin, Phys. Rev. B 76, 035315 (2007)] compared to the time required to implement the step operator. 10.1103/PhysRevB.76.035315
    • (2007) Phys. Rev. B , vol.76 , pp. 035315
    • Taylor, J.M.1    Petta, J.R.2    Johnson, A.C.3    Yacoby, A.4    Marcus, C.M.5    Lukin, M.D.6
  • 38
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    • The sum extends over terms with ωab - ωcd □1/Δt, (secular constraint) where Δt is the time scale of the Markovian course-grained evolution (Ref.).
    • The sum extends over terms with ωab - ωcd □1/Δt, (secular constraint) where Δt is the time scale of the Markovian course-grained evolution (Ref.).
  • 47
    • 70350712334 scopus 로고    scopus 로고
    • Similar values for B x′ and E x′ are found for an in-plane global magnetic field and out-of-plane local fields.
    • Similar values for B x′ and E x′ are found for an in-plane global magnetic field and out-of-plane local fields.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.