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Volumn 69, Issue 5 A, 2004, Pages

Entanglement echoes in quantum computation

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAOS THEORY; COMPUTER SIMULATION; FOURIER TRANSFORMS; HAMILTONIANS; ITERATIVE METHODS; PERTURBATION TECHNIQUES; PHASE SHIFT; SPURIOUS SIGNAL NOISE; VECTORS;

EID: 3042776202     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.052317     Document Type: Article
Times cited : (11)

References (22)
  • 1
    • 0000230779 scopus 로고    scopus 로고
    • and Ref. [2]
    • Previous investigations were mainly focused on the analysis of the fidelity of quantum computation [see, e.g., C. Miquel, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. 78, 3971 (1997) and Ref. [2]].
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3971
    • Miquel, C.1    Paz, J.P.2    Zurek, W.H.3
  • 10
    • 0038445618 scopus 로고    scopus 로고
    • We note that the evolution of entanglement in quantum algorithms simulating quantum chaos has been recently investigated by S. Bettelli and D. L. Shepelyansky, Phys. Rev. A 67, 054303 (2003); and by A. J. Scott and C. M. Caves, J. Phys. A 36, 9553 (2003).
    • (2003) Phys. Rev. A , vol.67 , pp. 054303
    • Bettelli, S.1    Shepelyansky, D.L.2
  • 11
    • 0142260881 scopus 로고    scopus 로고
    • We note that the evolution of entanglement in quantum algorithms simulating quantum chaos has been recently investigated by S. Bettelli and D. L. Shepelyansky, Phys. Rev. A 67, 054303 (2003); and by A. J. Scott and C. M. Caves, J. Phys. A 36, 9553 (2003).
    • (2003) J. Phys. A , vol.36 , pp. 9553
    • Scott, A.J.1    Caves, C.M.2
  • 12
    • 0001607714 scopus 로고
    • D. N. Page, Phys. Rev. Lett. 71, 1291 (1993); S. K. Foong and S. Kanno, ibid. 72, 1148 (1993); S. Sen, ibid. 77, 1 (1996).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1291
    • Page, D.N.1
  • 13
    • 4243471647 scopus 로고
    • D. N. Page, Phys. Rev. Lett. 71, 1291 (1993); S. K. Foong and S. Kanno, ibid. 72, 1148 (1993); S. Sen, ibid. 77, 1 (1996).
    • (1993) Phys. Rev. Lett. , vol.72 , pp. 1148
    • Foong, S.K.1    Kanno, S.2
  • 14
    • 0001853648 scopus 로고    scopus 로고
    • D. N. Page, Phys. Rev. Lett. 71, 1291 (1993); S. K. Foong and S. Kanno, ibid. 72, 1148 (1993); S. Sen, ibid. 77, 1 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1
    • Sen, S.1
  • 18
    • 85015773752 scopus 로고    scopus 로고
    • note
    • The value of the constant R that appears in Eq. (5) can be determined from our numerical data for the fidelity decay, the entanglement echo decay (Fig. 4), and the relaxation to equi-librium (inset of Fig. 4). We get R ≈ 0.28, 0.26, and 0.39, respectively. The rather good agreement between these values is a further confirmation of the validity of our theoretical analysis.


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