SCOPUS 정보 검색 플랫폼

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 1, 2010, Pages

Quantum chaos and operator fidelity metric

(2) Giorda, Paolo a Zanardi, Paolo a,b

a ISI FOUNDATION (Italy)

b UNIVERSITY OF SOUTHERN CALIFORNIA (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC BEHAVIORS; DICKE MODEL; GLOBAL STABILITY; NATURAL TOOLS; NUMERICAL STUDIES; QUANTUM CHAOS; RANDOM MATRIX THEORY;

INFORMATION THEORY;

QUANTUM THEORY;

EID: 76349125808 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.81.017203 Document Type: Article

Times cited : (24)

References (34)

1
- 0000792789
- 10.1103/PhysRevD.23.357;
- W. K. Wootters, Phys. Rev. D 23, 357 (1981) 10.1103/PhysRevD.23.357
- (1981) Phys. Rev. D , vol.23 , pp. 357
- Wootters, W.K.¹

2
- 0000519707
- 10.1103/PhysRevLett.72.3439
- S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994). 10.1103/PhysRevLett.72.3439
- (1994) Phys. Rev. Lett. , vol.72 , pp. 3439
- Braunstein, S.L.¹ Caves, C.M.²

3
- 33749345011
- 10.1103/PhysRevE.74.031123;
- P. Zanardi and N. Paunkovic, Phys. Rev. E 74, 031123 (2006) 10.1103/PhysRevE.74.031123
- (2006) Phys. Rev. e , vol.74 , pp. 031123
- Zanardi, P.¹ Paunkovic, N.²

4
- 54749154097
- 10.1088/1751-8113/41/41/412001;
- H.-Q. Zhou and J. P. Barjaktarevic, J. Phys. A: Math. Theor. 41, 412001 (2008) 10.1088/1751-8113/41/41/412001
- (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 412001
- Zhou, H.-Q.¹ Barjaktarevic, J.P.²

5
- 34548549064
- 10.1103/PhysRevLett.99.100603;
- P. Zanardi, P. Giorda, and M. Cozzini, Phys. Rev. Lett. 99, 100603 (2007) 10.1103/PhysRevLett.99.100603
- (2007) Phys. Rev. Lett. , vol.99 , pp. 100603
- Zanardi, P.¹ Giorda, P.² Cozzini, M.³

6
- 34548454416
- 10.1103/PhysRevLett.99.095701
- L. Campos Venuti and P. Zanardi, Phys. Rev. Lett. 99, 095701 (2007). 10.1103/PhysRevLett.99.095701
- (2007) Phys. Rev. Lett. , vol.99 , pp. 095701
- Campos Venuti, L.¹ Zanardi, P.²

7
- 42749109022
- 10.1088/1742-5468/2007/02/L02002;
- P. Zanardi, M. Cozzini, and P. Giorda, J. Stat. Mech.: Theory Exp. 2007, L02002 (2007) 10.1088/1742-5468/2007/02/L02002
- (2007) J. Stat. Mech.: Theory Exp. , vol.2007 , pp. 02002
- Zanardi, P.¹ Cozzini, M.² Giorda, P.³

8
- 33846604250
- 10.1103/PhysRevB.75.014439;
- M. Cozzini, P. Giorda, and P. Zanardi, Phys. Rev. B 75, 014439 (2007) 10.1103/PhysRevB.75.014439
- (2007) Phys. Rev. B , vol.75 , pp. 014439
- Cozzini, M.¹ Giorda, P.² Zanardi, P.³

9
- 36049013005
- 10.1103/PhysRevB.76.180403;
- M.-F. Yang, Phys. Rev. B 76, 180403 (R) (2007) 10.1103/PhysRevB.76.180403
- (2007) Phys. Rev. B , vol.76 , pp. 180403
- Yang, M.-F.¹

10
- 76349086539
- arXiv:0704.2940.
- H.-Q. Zhou, J.-H. Zhao, and B. Li, e-print arXiv:0704.2940.
- Zhou, H.-Q.¹ Zhao, J.-H.² Li, B.³

11
- 33947276703
- 10.1103/PhysRevA.75.032109;
- P. Zanardi, H.-T. Quan, X.-G. Wang, and C.-P. Sun, Phys. Rev. A 75, 032109 (2007) 10.1103/PhysRevA.75.032109
- (2007) Phys. Rev. A , vol.75 , pp. 032109
- Zanardi, P.¹ Quan, H.-T.² Wang, X.-G.³ Sun, C.-P.⁴

12
- 37549050900
- 10.1103/PhysRevA.76.062318;
- P. Zanardi, L. Campos Venuti, and P. Giorda, Phys. Rev. A 76, 062318 (2007) 10.1103/PhysRevA.76.062318
- (2007) Phys. Rev. A , vol.76 , pp. 062318
- Zanardi, P.¹ Campos Venuti, L.² Giorda, P.³

13
- 40749153862
- 10.1103/PhysRevA.77.022327
- D. F. Abasto, N. T. Jacobson, and P. Zanardi, Phys. Rev. A 77, 022327 (2008). 10.1103/PhysRevA.77.022327
- (2008) Phys. Rev. A , vol.77 , pp. 022327
- Abasto, D.F.¹ Jacobson, N.T.² Zanardi, P.³

14
- 58949102447
- 10.1103/PhysRevA.79.012105;
- X. Wang, Z. Sun, and Z. Wang, Phys. Rev. A 79, 012105 (2009) 10.1103/PhysRevA.79.012105
- (2009) Phys. Rev. A , vol.79 , pp. 012105
- Wang, X.¹ Sun, Z.² Wang, Z.³

15
- 51649120394
- 10.1103/PhysRevA.78.032309
- X. M. Lu, Z. Sun, X. Wang, and P. Zanardi, Phys. Rev. A 78, 032309 (2008). 10.1103/PhysRevA.78.032309
- (2008) Phys. Rev. A , vol.78 , pp. 032309
- Lu, X.M.¹ Sun, Z.² Wang, X.³ Zanardi, P.⁴

16
- 76349103596
- If ρ= i pi |ii| one considers the state | Ψρ = i pi |i |i HH then, for each AL (H) one defines |A (A1) | Ψρ . The operator fidelity is then the (bi-partite) state fidelity: Fρ (X,Y) | X,Y ρ |.
- If ρ= i pi |i i| one considers the state | Ψρ = i pi |i |i HH then, for each AL (H) one defines |A (A1) | Ψρ. The operator fidelity is then the (bi-partite) state fidelity: Fρ (X,Y) | X,Y ρ |.

17
- 0003603846
- Springer, New York
- F. Haake, Quantum Signatures of Chaos (Springer, New York, 2001).
- (2001) Quantum Signatures of Chaos
- Haake, F.¹

18
- 0004163930
- Elsevier, New York
- M. L. Mehta, Random Matrices (Elsevier, New York, 2004).
- (2004) Random Matrices
- Mehta, M.L.¹

19
- 48749147456
- 10.1016/0167-2789(83)90318-4;
- D. L. Shepelyansky, Physica D 8, 208 (1983) 10.1016/0167-2789(83)90318-4
- (1983) Physica D , vol.8 , pp. 208
- Shepelyansky, D.L.¹

20
- 0000252567
- 10.1103/PhysRevLett.56.2437
- G. Casati, B. V. Chirikov, I. Guarneri, and D. L. Shepelyansky, Phys. Rev. Lett. 56, 2437 (1986). 10.1103/PhysRevLett.56.2437
- (1986) Phys. Rev. Lett. , vol.56 , pp. 2437
- Casati, G.¹ Chirikov, B.V.² Guarneri, I.³ Shepelyansky, D.L.⁴

21
- 33646987451
- 10.1103/PhysRevA.30.1610
- A. Peres, Phys. Rev. A 30, 1610 (1984). 10.1103/PhysRevA.30.1610
- (1984) Phys. Rev. A , vol.30 , pp. 1610
- Peres, A.¹

22
- 62749139720
- 10.1103/PhysRevE.79.025201
- G. Benenti and G. Casati, Phys. Rev. E 79, 025201 (R) (2009). 10.1103/PhysRevE.79.025201
- (2009) Phys. Rev. e , vol.79 , pp. 025201
- Benenti, G.¹ Casati, G.²

23
- 0035976871
- 10.1088/0305-4470/34/47/103;
- T. Prosen, J. Phys. A 34, L681 (2001) 10.1088/0305-4470/34/47/103
- (2001) J. Phys. A , vol.34 , pp. 681
- Prosen, T.¹

24
- 0037085147
- 10.1088/0305-4470/35/6/309;
- T. Prosen, J. Phys. A 35, 1455 (2002) 10.1088/0305-4470/35/6/309
- (2002) J. Phys. A , vol.35 , pp. 1455
- Prosen, T.¹

25
- 3042693549
- 10.1088/1367-2630/6/1/020
- T. Gorin 2004 New J. Phys. 6 20. 10.1088/1367-2630/6/1/020
- (2004) New J. Phys. , vol.6 , pp. 20
- Gorin, T.¹

26
- 26944440388
- 10.1103/PhysRevA.71.062324
- C. Mejía-Monasterio, G. Benenti, G. G. Carlo, and G. Casati, Phys. Rev. A 71, 062324 (2005). 10.1103/PhysRevA.71.062324
- (2005) Phys. Rev. A , vol.71 , pp. 062324
- Mejía-Monasterio, C.¹ Benenti, G.² Carlo, G.G.³ Casati, G.⁴

27
- 34547196138
- 10.1103/PhysRev.93.99
- R. H. Dicke, Phys. Rev. 93, 99 (1954). 10.1103/PhysRev.93.99
- (1954) Phys. Rev. , vol.93 , pp. 99
- Dicke, R.H.¹

28
- 0037473845
- 10.1103/PhysRevLett.90.044101;
- C. Emary and T. Brandes, Phys. Rev. Lett. 90, 044101 (2003) 10.1103/PhysRevLett.90.044101
- (2003) Phys. Rev. Lett. , vol.90 , pp. 044101
- Emary, C.¹ Brandes, T.²

29
- 37649026898
- 10.1103/PhysRevE.67.066203
- C. Emary and T. Brandes, Phys. Rev. E 67, 066203 (2003). 10.1103/PhysRevE.67.066203
- (2003) Phys. Rev. e , vol.67 , pp. 066203
- Emary, C.¹ Brandes, T.²

30
- 33645813835
- 10.1103/PhysRevLett.96.140604
- H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Phys. Rev. Lett. 96, 140604 (2006). 10.1103/PhysRevLett.96.140604
- (2006) Phys. Rev. Lett. , vol.96 , pp. 140604
- Quan, H.T.¹ Song, Z.² Liu, X.F.³ Zanardi, P.⁴ Sun, C.P.⁵

31
- 0039165794
- 10.1016/S0370-1573(97)00088-4
- T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998). 10.1016/S0370-1573(97)00088-4
- (1998) Phys. Rep. , vol.299 , pp. 189
- Guhr, T.¹ Müller-Groeling, A.² Weidenmüller, H.A.³

32
- 0004188848
- Wiley, New York, 10.1002/0471200611
- T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991). 10.1002/0471200611
- (1991) Elements of Information Theory
- Cover, T.M.¹ Thomas, J.A.²

33
- 76349096994
- arXiv:cond-mat/0007360.
- J. Kurchan, e-print arXiv:cond-mat/0007360.
- Kurchan, J.¹

34
- 76349087007
- To prove the result, express the matrix elements of both sides in terms of the eigenoperator basis | Ψ n,m and perform the Gaussian averages.
- To prove the result, express the matrix elements of both sides in terms of the eigenoperator basis | Ψ n,m and perform the Gaussian averages.

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.