Absolutely Maximally Entangled States: Existence and Applications

A. Einstein, B. Podolsky, and N. Rosen, “Can quantum-mechanical description of physical reality be considered complete?,” Phys. Rev

1935

Earlier work this paper cites.

I. Reed and G. Solomon, “Polynomial codes over certain finite fields,” Journal of the Society for Industrial and Applied Mathematics

1960

Earlier work this paper cites.

J. Bell, “On the einstein podolsky rosen paradox,” Physics

1964

Earlier work this paper cites.

R. Singleton, “Maximum distance q -nary codes,” Information Theory, IEEE Transactions on

1964

Earlier work this paper cites.

North Holland Publishing Co., 1977

F. MacWilliams and N. Sloane, The Theory of Error-Correcting Codes · 1977

Earlier work this paper cites.

Security of Ramp Schemes

1984

Earlier work this paper cites.

G. Seroussi and R. Roth, “On mds extensions of generalized reed- solomon codes,” Information Theory, IEEE Transactions on

1986

Earlier work this paper cites.

B. Yurke and D. Stoler, “Einstein-podolsky-rosen effects from independent particle sources,” Phys. Rev. Lett

1992

Earlier work this paper cites.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels,” Phys. Rev. Lett

1993

Earlier work this paper cites.

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed-state entanglement and quantum error correction,” Phys. Rev. A

1996

Cited alongside, same era.

B. Schumacher and M. A. Nielsen, “Quantum data processing and error correction,” Phys. Rev. A

1996

Cited alongside, same era.

N. Gisin and H. Bechmann-Pasquinucci, “Bell inequality, bell states and maximally entangled states for n qubits,” Physics Letters A

1998

Cited alongside, same era.

M. A. Nielsen, “Conditions for a class of entanglement transformations,” Physical Review Letters

1999

Cited alongside, same era.

G. Vidal, “Entanglement of pure states for a single copy,” Phys. Rev. Lett

1999

Cited alongside, same era.

E. M. Rains, “Quantum codes of minimum distance two,” Information theory, IEEE Transactions on

A. V. Thapliyal, “Multipartite maximally entangled states, minimal entanglement generating stes and entropic inequalitites.” unpublished presentation (2003)

2003

Later among the works it cites.

Z. Zhao, Y.-A. Chen, A.-N. Zhang, T. Yang, H. J. Briegel, and J.-W. Pan, “Experimental demonstration of five-photon entanglement and open-destination teleportation,” Nature

2004

Later among the works it cites.

H. Imai, J. J. Mueller-Quade, A. Nascimento, P. Tuyls, and A. Winter, “An information theoretical model for quantum secret sharing schemes,” Quant. Inf. & Comp

2005

Later among the works it cites.

M. Iwamoto and H. Yamamoto, “Strongly secure ramp secret sharing schemes,” in Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on

2005

Later among the works it cites.

R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, “Quantum entanglement,” Rev. Mod. Phys