SCOPUS 정보 검색 플랫폼

Journal of Mathematical Physics

Volumn 48, Issue 5, 2007, Pages

Evenly distributed unitaries: On the structure of unitary designs

(3) Gross, D a Audenaert, K b Eisert, J a

a IMPERIAL COLLEGE LONDON (United Kingdom)

b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34249873246 PISSN: 00222488 EISSN: None Source Type: Journal
DOI: 10.1063/1.2716992 Document Type: Article

Times cited : (398)

References (54)

1
- 34249910527
- Cubature formulas on spheres
- H. Koenig, Cubature formulas on spheres, http://analysis.math.uni-kiel. de/koenig/preprints.html
- Koenig, H.¹

2
- 34249882384
- Ph.D. thesis, University of Vienna
- G. Zauner, Ph.D. thesis, University of Vienna, 1999; available online at http://www.mat.univice.ac.at/~neun/papers/physpapers.html
- (1999)
- Zauner, G.¹

3
- 34249903547
- Ph.D. thesis, University of Vienna
- G. Zauner, Ph.D. thesis, University of Vienna, 1999; available online at http://www.mat.univice.ac.at/~neun/papers/physpapers.html
- (1999)
- Zauner, G.¹

4
- 2942657646
- 0022-2488 10.1063/1.1737053
- J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, J. Math. Phys. 0022-2488 10.1063/1.1737053 45, 2171 (2004); D. M. Appleby, J. Math. Phys. 46, 052107 (2005).
- (2004) J. Math. Phys. , vol.45 , pp. 2171
- Renes, J.M.¹ Blume-Kohout, R.² Scott, A.J.³ Caves, C.M.⁴

5
- 18844456537
- J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, J. Math. Phys. 0022-2488 10.1063/1.1737053 45, 2171 (2004); D. M. Appleby, J. Math. Phys. 46, 052107 (2005).
- (2005) J. Math. Phys. , vol.46 , pp. 052107
- Appleby, D.M.¹

6
- 28844493119
- A. Hayashi, T. Hashimoto, and M. Horibe, Phys. Rev. A 72, 032325 (2005).
- (2005) Phys. Rev. A , vol.72 , pp. 032325
- Hayashi, A.¹ Hashimoto, T.² Horibe, M.³

7
- 34249895829
- quant-ph/0410237.
- S. Iblisdir and J. Roland, e-print quant-ph/0410237.
- Iblisdir, S.¹ Roland, J.²

8
- 33749427423
- Proceedings of the IEEE International Symposium on Information Theory
- A. Klappenecker and M. Rötteler, Proceedings of the IEEE International Symposium on Information Theory, (2005), p. 1740.
- (2005) , pp. 1740
- Klappenecker, A.¹ Rötteler, M.²

9
- 33947192506
- A. J. Scott, J. Phys. A 39, 13507 (2006).
- (2006) J. Phys. A , vol.39 , pp. 13507
- Scott, A.J.¹

10
- 34249890169
- 0003-4916
- W. K. Wootters and B. C. Fields, Ann. Phys. (N.Y.) 0003-4916 16, 391 (1989); S. Bandyopadhyay, P. O. Boykin, V. Roychowdhury, and F. Vatan, Algorithmica 0178-4617 10.1007/s00453-002-0980-7 34, 512 (2002); S. Chaturvedi, Phys. Rev. A 65, 044301 (2002).
- (1989) Ann. Phys. (N.Y.) , vol.16 , pp. 391
- Wootters, W.K.¹ Fields, B.C.²

11
- 0141991892
- 0178-4617 10.1007/s00453-002-0980-7
- W. K. Wootters and B. C. Fields, Ann. Phys. (N.Y.) 0003-4916 16, 391 (1989); S. Bandyopadhyay, P. O. Boykin, V. Roychowdhury, and F. Vatan, Algorithmica 0178-4617 10.1007/s00453-002-0980-7 34, 512 (2002); S. Chaturvedi, Phys. Rev. A 65, 044301 (2002).
- (2002) Algorithmica , vol.34 , pp. 512
- Bandyopadhyay, S.¹ Boykin, P.O.² Roychowdhury, V.³ Vatan, F.⁴

12
- 0036542083
- W. K. Wootters and B. C. Fields, Ann. Phys. (N.Y.) 0003-4916 16, 391 (1989); S. Bandyopadhyay, P. O. Boykin, V. Roychowdhury, and F. Vatan, Algorithmica 0178-4617 10.1007/s00453-002-0980-7 34, 512 (2002); S. Chaturvedi, Phys. Rev. A 65, 044301 (2002).
- (2002) Phys. Rev. A , vol.65 , pp. 044301
- Chaturvedi, S.¹

13
- 34249896353
- M.Sc. thesis, University of Waterloo, quant-ph/0512217.
- C. Dankert M.Sc. thesis, University of Waterloo, 2005; also available at e-print quant-ph/0512217.
- (2005)
- Dankert, C.¹

14
- 34249871837
- quant-ph/0606161.
- C. Dankert, R. Cleve, J. Emerson, and E. Livine, e-print quant-ph/0606161.
- Dankert, C.¹ Cleve, R.² Emerson, J.³ Livine, E.⁴

15
- 0242557609
- C. A. Fuchs and M. Sasaki, Quantum Inf. Comput. 3, 377 (2003).
- (2003) Quantum Inf. Comput. , vol.3 , pp. 377
- Fuchs, C.A.¹ Sasaki, M.²

16
- 17744365422
- H. F. Chau, IEEE Trans. Inf. Theory 51, 1451 (2005).
- (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 1451
- Chau, H.F.¹

17
- 0036496267
- D. DiVincenzo, D. W. Leung, and B. M. Terhal, IEEE Trans. Inf. Theory 48, 580 (2002).
- (2002) IEEE Trans. Inf. Theory , vol.48 , pp. 580
- Divincenzo, D.¹ Leung, D.W.² Terhal, B.M.³

18
- 34249877353
- quant-ph/0609052.
- G. Tóth and J. J. Garcia-Ripoll, e-print quant-ph/0609052.
- Tóth, G.¹ Garcia-Ripoll, J.J.²

19
- 34249880732
- quant-ph/0610090;
- A. Serafini, O. C. O. Dahlsten, and M. B. Plenio, e-print quant-ph/0610090; A. Serafini, O. C. O. Dahlsten, D. Gross, and M. B. Plenio, e-print quant-ph/0701051.
- Serafini, A.¹ Dahlsten, O.C.O.² Plenio, M.B.³

20
- 34249911392
- quant-ph/0701051.
- A. Serafini, O. C. O. Dahlsten, and M. B. Plenio, e-print quant-ph/0610090; A. Serafini, O. C. O. Dahlsten, D. Gross, and M. B. Plenio, e-print quant-ph/0701051.
- Serafini, A.¹ Dahlsten, O.C.O.² Gross, D.³ Plenio, M.B.⁴

21
- 34249908557
- J. I. Cirac, J. Eisert, G. Giedke, M. Lewenstein, M. B. Plenio, R. F. Werner, and M. M. Wolf (unpublished).
- Cirac, J.I.¹ Eisert, J.² Giedke, G.³ Lewenstein, M.⁴ Plenio, M.B.⁵ Werner, R.F.⁶ Wolf, M.M.⁷

22
- 0039624459
- R. F. Werner, Phys. Rev. A 40, 04277 (1989).
- (1989) Phys. Rev. A , vol.40 , pp. 04277
- Werner, R.F.¹

23
- 4243216277
- C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A. 54, 3824 (1996).
- (1996) Phys. Rev. A , pp. 3824
- Bennett, C.H.¹ Divincenzo, D.P.² Smolin, J.A.³ Wootters, W.K.⁴

24
- 0037788957
- W. Dür, J. I. Cirac, M. Lewenstein, and D. Bruss, Phys. Rev. A 61, 062313 (2000).
- (2000) Phys. Rev. A , vol.61 , pp. 062313
- Dür, W.¹ Cirac, J.I.² Lewenstein, M.³ Bruss, D.⁴

25
- 34249906650
- quant-ph/9807006.
- D. Gottesman, e-print quant-ph/9807006.
- Gottesman, D.¹

26
- 28844438398
- W. Dür, M. Hein, J. I. Cirac, and H.-J. Briegel, Phys. Rev. A 72, 052326 (2005).
- (2005) Phys. Rev. A , vol.72 , pp. 052326
- Dür, W.¹ Hein, M.² Cirac, J.I.³ Briegel, H.-J.⁴

27
- 0003630680
- Academic, New York
- I. M. Issacs, Character Theory of Finite Groups (Academic, New York, 1976).
- (1976) Character Theory of Finite Groups
- Issacs, I.M.¹

28
- 0003500502
- The GAP Group
- The GAP Group, GAP-Groups, Algorithms, Programming, Version 4.4.7, 2006 (http://www.gap-system.org).
- (2006) GAP-Groups, Algorithms, Programming, Version 4.4.7

29
- 84954167089
- Lehrstuhl D für Mathematik, Rheinisch Westfälische Hochschule, Aachen
- T. Breuer, Manual for the GAP Character Table Library Version 1.1 (Lehrstuhl D für Mathematik, Rheinisch Westfälische Hochschule, Aachen, 2004).
- (2004) Manual for the GAP Character Table Library Version 1.1
- Breuer, T.¹

30
- 34249895756
- quant-ph/0406168;
- D. Fattal, T. S. Cubitt, Y. Yamamoto, S. Bravyi, and I. L. Chuang, e-print quant-ph/0406168; M. Hein, J. Eisert, and H. J. Briegel, Phys. Rev. A 1050-2947 10.1103/PhysRevA.69.062311 69, 062311 (2004); K. M. R. Audenaert and M. B. Plenio, New J. Phys. 7, 73 (2005).
- Fattal, D.¹ Cubitt, T.S.² Yamamoto, Y.³ Bravyi, S.⁴ Chuang, I.L.⁵

31
- 3142782717
- 1050-2947 10.1103/PhysRevA.69.062311
- D. Fattal, T. S. Cubitt, Y. Yamamoto, S. Bravyi, and I. L. Chuang, e-print quant-ph/0406168; M. Hein, J. Eisert, and H. J. Briegel, Phys. Rev. A 1050-2947 10.1103/PhysRevA.69.062311 69, 062311 (2004); K. M. R. Audenaert and M. B. Plenio, New J. Phys. 7, 73 (2005).
- (2004) Phys. Rev. A , vol.69 , pp. 062311
- Hein, M.¹ Eisert, J.² Briegel, H.J.³

32
- 23344438573
- D. Fattal, T. S. Cubitt, Y. Yamamoto, S. Bravyi, and I. L. Chuang, e-print quant-ph/0406168; M. Hein, J. Eisert, and H. J. Briegel, Phys. Rev. A 1050-2947 10.1103/PhysRevA.69.062311 69, 062311 (2004); K. M. R. Audenaert and M. B. Plenio, New J. Phys. 7, 73 (2005).
- (2005) New J. Phys. , vol.7 , pp. 73
- Audenaert, K.M.R.¹ Plenio, M.B.²

33
- 33846062816
- D. Gross, J. Math. Phys. 47, 122107 (2006).
- (2006) J. Math. Phys. , vol.47 , pp. 122107
- Gross, D.¹

34
- 34249885773
- University of Potsdam
- D. Gross, thesis, University of Potsdam, 2005; available at http://gross.qipc.org
- (2005)
- Gross, D.¹

35
- 34249871579
- thesis, University of Potsdam
- D. Gross, thesis, University of Potsdam, 2005; available at http://gross.qipc.org
- (2005)
- Gross, D.¹

36
- 0004131380
- BI-Wiss.-Verl., Mannheim
- D. Jungnickel, Finite fields (BI-Wiss.-Verl., Mannheim, 1993).
- (1993) Finite Fields
- Jungnickel, D.¹

37
- 21244477550
- A. Pittenger and M. Rubin, J. Phys. A 38, 6005 (2005).
- (2005) J. Phys. A , vol.38 , pp. 6005
- Pittenger, A.¹ Rubin, M.²

38
- 26944470302
- A. Gilchrist, N. K. Langford, and M. A. Nielsen, Phys. Rev. A 71, 062310 (2005).
- (2005) Phys. Rev. A , vol.71 , pp. 062310
- Gilchrist, A.¹ Langford, N.K.² Nielsen, M.A.³

39
- 0003482808
- Springer, Berlin
- B. Huppert, Endliche Gruppen (Springer, Berlin, 1967).
- (1967) Endliche Gruppen
- Huppert, B.¹

40
- 0004146981
- American Mathematical Society, Providence, RI
- B. Simon, Representations of Finite and Compact Groups (American Mathematical Society, Providence, RI, 1996); W. Fulton and J. Harris, Representation Theory (Springer, New York, 1991).
- (1996) Representations of Finite and Compact Groups
- Simon, B.¹

41
- 0003674407
- Springer, New York
- B. Simon, Representations of Finite and Compact Groups (American Mathematical Society, Providence, RI, 1996); W. Fulton and J. Harris, Representation Theory (Springer, New York, 1991).
- (1991) Representation Theory
- Fulton, W.¹ Harris, J.²

42
- 33846555496
- P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79, 135 (2007).
- (2007) Rev. Mod. Phys. , vol.79 , pp. 135
- Kok, P.¹ Munro, W.J.² Nemoto, K.³ Ralph, T.C.⁴ Dowling, J.P.⁵ Milburn, G.J.⁶

43
- 51249166312
- Arvind, B. Dutta, N. Mukunda, and R. Simon, Pramana 45, 471 (1995).
- (1995) Pramana , vol.45 , pp. 471
- Arvind¹ Dutta, B.² Mukunda, N.³ Simon, R.⁴

44
- 3042642557
- J. Eisert and M. B. Plenio, Int. J. Quantum Inf. 1, 479 (2003).
- (2003) Int. J. Quantum Inf. , vol.1 , pp. 479
- Eisert, J.¹ Plenio, M.B.²

45
- 4043159884
- M. M. Wolf, J. Eisert, and M. B. Plenio, Phys. Rev. Lett. 90, 047904 (2003).
- (2003) Phys. Rev. Lett. , vol.90 , pp. 047904
- Wolf, M.M.¹ Eisert, J.² Plenio, M.B.³

46
- 36749120733
- 0022-2488 10.1063/1.523515
- E. Lubkin, J. Math. Phys. 0022-2488 10.1063/1.523515 19, 5 (1978); D. N. Page, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.1291 71, 1291 (1993); S. K. Foong and S. Kanno, Phys. Rev. Lett. 72, 1148 (1994).
- (1978) J. Math. Phys. , vol.19 , pp. 5
- Lubkin, E.¹

47
- 0001607714
- 0031-9007 10.1103/PhysRevLett.71.1291
- E. Lubkin, J. Math. Phys. 0022-2488 10.1063/1.523515 19, 5 (1978); D. N. Page, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.1291 71, 1291 (1993); S. K. Foong and S. Kanno, Phys. Rev. Lett. 72, 1148 (1994).
- (1993) Phys. Rev. Lett. , vol.71 , pp. 1291
- Page, D.N.¹

48
- 4243471647
- E. Lubkin, J. Math. Phys. 0022-2488 10.1063/1.523515 19, 5 (1978); D. N. Page, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.1291 71, 1291 (1993); S. K. Foong and S. Kanno, Phys. Rev. Lett. 72, 1148 (1994).
- (1994) Phys. Rev. Lett. , vol.72 , pp. 1148
- Foong, S.K.¹ Kanno, S.²

49
- 33646733083
- P. Hayden, D. W. Leung, and A. Winter, Commun. Math. Phys. 265, 95 (2006).
- (2006) Commun. Math. Phys. , vol.265 , pp. 95
- Hayden, P.¹ Leung, D.W.² Winter, A.³

50
- 33746894176
- O. Dahlsten and M. B. Plenio, Stat. Probab. Lett. 6, 527 (2006).
- (2006) Stat. Probab. Lett. , vol.6 , pp. 527
- Dahlsten, O.¹ Plenio, M.B.²

51
- 0035823453
- K. Zyczkowski and H.-J. Sommers, J. Phys. A 34, 7111 (2001).
- (2001) J. Phys. A , vol.34 , pp. 7111
- Zyczkowski, K.¹ Sommers, H.-J.²

52
- 17144381978
- V. Dabbaghian-Abdoly, J. Symb. Comput. 39, 671 (2005).
- (2005) J. Symb. Comput. , vol.39 , pp. 671
- Dabbaghian-Abdoly, V.¹

53
- 0037212207
- J. J. Benedetto and M. Fickus, Adv. Comput. Math. 18, 357 (2003).
- (2003) Adv. Comput. Math. , vol.18 , pp. 357
- Benedetto, J.J.¹ Fickus, M.²

54
- 48549108193
- P. D. Seymour and T. Zaslavsky, Adv. Math. 52, 213 (1984).
- (1984) Adv. Math. , vol.52 , pp. 213
- Seymour, P.D.¹ Zaslavsky, T.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.