On quantum advantage in dense coding

Journal of Physics A: Mathematical and Theoretical

Volumn 45, Issue 10, 2012, Pages

  Horodecki, M ^a   Piani, M ^b  

^a UNIVERSITY OF GDA SK   (Poland)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84857949559     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/45/10/105306     Document Type: Article

References (35)

1. Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Quantum entanglement Rev. Mod. Phys. 81 865942
2. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
3. Alber G, Beth T, Horodecki M, Horodecki P, Horodecki R, Rotteler M, Weinfurter H, Werner R and Zeilinger A 2001 Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments (Berlin: Springer)
4. Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and Wootters W K 1983 Teleporting an unknown quantum state via dual classical and EinsteinPodolskyRosen channels Phys. Rev. Lett. 70 18959
5. Bennett C and Wiesner S 1992 Communication via one- and two-particle operators on EinsteinPodolskyRosen states Phys. Rev. Lett. 69 28814
6. Holevo (Kholevo) A S 1973 Bounds for the quantity of information transmitted by a quantum communication channel Probl. Peredachi Inf. 9 311
7. Holevo (Kholevo) A S 1973 Problems Inf. Transm. 9 17783 (Engl. transl.)
8. Bennett C H, Bernstein H, Popescu S and Schumacher B 1996 Concentrating partial entanglement by local operations Phys. Rev. A 53 204652 (Pubitemid 126615036)
9. Bru D, DAriano G M, Lewenstein M, Macchiavello C, Sen(De) A and Sen U 2005 Distributed quantum dense coding Phys. Rev. Lett. 93 210501
10. Bru D, DAriano G M, Lewenstein M, Macchiavello C, Sen(De) A and Sen U 2006 Dense coding with multipartite quantum states Int. J. Quantum Inf. 4 41528 (Pubitemid 44110593)
11. Schumacher B and Nielsen M A 1996 Quantum data processing and error correction Phys. Rev. A 54 262935 (Pubitemid 126591942)
12. Horodecki R and Horodecki P 1994 Quantum redundancies and local realism Phys. Lett. A 194 14752
13. Devetak I and Winter A 2005 Distillation of secret key and entanglement from quantum states Proc. R. Soc. Lond. A 461 20735 (Pubitemid 40522478)
14. Horodecki M, Horodecki P, Horodecki R, Leung D W and Terhal B 2001 Classical capacity of a noiseless quantum channel assisted by noisy entanglement Quantum Inf. Comput. 1 708 (Pubitemid 33678242)
15. Winter A 2002 Scalable programmable quantum gates and a new aspect of the additivity problem for the classical capacity of quantum channels J. Math. Phys. 43 434152
16. Terhal B M, Horodecki M, DiVincenzo D P and Leung D 2002 The entanglement of purification J. Math. Phys. 43 428698
17. Schumacher B and Westmoreland M 1997 Sending classical information via noisy quantum channels Phys. Rev. A 56 1318 (Pubitemid 127605032)
18. Holevo A S 1998 The capacity of the quantum channel with general signal states IEEE Trans. Inf. Theory 44 281821
19. Choi M D 1975 Completely positive linear maps on complex matrices Linear Algebra Appl. 10 28590
20. Horodecki M and Horodecki P 1999 Reduction criterion for separability and limits for a class of protocol of entanglement distillation Phys. Rev. A 59 420616 (Pubitemid 129690661)
21. Bennett C H, DiVincenzo D P, Smolin J and Wootters W K 1996 Mixed-state entanglement and quantum error correction Phys. Rev. A 54 382451 (Pubitemid 126583604)
22. Yang D, Horodecki K, Horodecki M, Horodecki P, Oppenheim J and Song W 2009 Squashed entanglement for multipartite states and entanglement measures based on the mixed convex roof IEEE Trans. Inf. Theory 55 337587
23. Synak-Radtke B, Pankowski, Horodecki M and Horodecki R 2006 On some entropic entanglement parameter arXiv:quant-ph/0608201
24. Smolin J A 2001 Four-party unlockable bound entangled state Phys. Rev. A 63 032306
25. Ghosh S, Kar G, Roy A, Sen(De) A and Sen U 2001 Distinguishability of bell states Phys. Rev. Lett. 87 277902
26. Doherty A C, Parillo P A and Spedalieri F M 2002 Distinguishing separable and entangled states Phys. Rev. Lett. 88 187904
27. Doherty A C, Parillo P A and Spedalieri F M 2004 Complete family of separability criteria Phys. Rev. A 69 022308
28. Doherty A C, Terhal B M and Schwab D 2003 Symmetric extensions of quantum states and local hidden variable theories Phys. Rev. Lett. 90 157903
29. Coffman V, Kundu J and Wootters W K 2000 Distributed entanglement Phys. Rev. A 61 052306
30. Horodecki P and Nowakowski M 2009 A simple test for quantum channel capacity J. Phys. A: Math. Theor. 42 135306
31. Tth G and Acn A 2006 Genuine tripartite entangled states with a local hidden-variable model Phys. Rev. A 74 030306
32. Koashi M and Winter A 2004 Monogamy of quantum entanglement and other correlations Phys. Rev. A 69 022309
33. Henderson L and Vedral V 2001 Classical, quantum and total correlations J. Phys. A: Math. Gen. 34 6899905 (Pubitemid 33577114)
34. Devetak I and Winter A 2004 Distilling common randomness from bipartite quantum states IEEE Trans. Inf. Theory 50 318396
35. Hayden P, Horodecki M and Terhal B 2001 The asymptotic entanglement cost of preparing a quantum state J. Phys. A: Math. Gen. 34 68918