| 3 | Polynomial entanglement invariants | R.F. Werner | 2000/10/13 | 2001/12/18 | A. Sudbery | Entanglement theory |
| 4 | Catalytic majorization | M.B. Plenio | 2000/12/18 | 2007/09/24 | M. Klimesh / S. Turgut | Entanglement theory |
| 6 | Nice error bases | D. Schlingemann | 2001/11/08 | 2003/05/28 | A. Klappenecker, M. Roetteler | Quantum communication |
| 7 | Additivity of Entanglement of Formation | K.G.H. Vollbrecht | 2001/11/16 | 2004/11/11 | M. Hastings | Quantum communication |
| 9 | Reduction criterion implies majorization? | M.M. Wolf | 2002/02/12 | 2003/05/20 | T. Hiroshima | Entanglement theory |
| 10 | Additivity of classical capacity and related problems | A.S. Holevo | 2003/01/31 | 2004/11/11 | M. Hastings | Quantum communication |
| 11 | Continuity of the Quantum channel capacity | M. Keyl | 2003 | 2009/05/26 | D. Leung and G. Smith | Quantum communication |
| 17 | Reversibility of entanglement assisted coding | P. Shor | 2003/01/31 | 2014/03/05 | C. H. Bennett, I. Devetak, A. W. Harrow, P. W. Shor, and A. Winter | Quantum communication |
| 18 | Qubit bi-negativity | K.G.H. Vollbrecht | 2003/02/10 | 2005/04/22 | S. Ishizaka | Entanglement theory |
| 19 | Stronger Bell Inequalities for Werner states? | N. Gisin | 2003/06/20 | 2008/05/02 | T. Vértesi | Quantum foundations |
| 21 | Bell violation by tensoring | Y.-C. Liang | 2005/02/08 | 2010/10/25 | M. Navascués and T. Vértesi | Quantum foundations |
| 22 | Asymptotic cloning is state estimation | M. Keyl | 2005/02/08 | 2006/11/01 | J. Bae and A. Acín | Quantum communication |
| 28 | Local equivalence of graph states | D. Schlingemann | 2005/04/20 | 2007/09/09 | Z. Ji, J. Chen, Z. Wei, M. Ying | Entanglement theory |
| 30 | Asymptotic Version of Birkhoff's Theorem | A. Winter | 2005/10/06 | 2011/03/11 | M.Musat, H.Haagerup | Quantum communication |
| 33 | Bell inequalities and operator algebras | B. S. Tsirelson | 2006/07/06 | 2020/01/13 | Z. Ji, A. Natarajan, T. Vidick, J. Wright, H. Yuen | Quantum foundations |
| 45 | Catalytic entropy conjecture | H. Wilming, P. Boes and M. Müller | 2019/07/05 | 2022/11/10 | H. Wilming | Many-body quantum information theory |