The GHZ State in Secret Sharing and Entanglement Simulation

Author

Broadbent, Anne ; Chouha, Paul-Robert ; Tapp, Alain

Author_Institution

Inst. for Quantum Comput., Univ. of Waterloo, Waterloo, ON

fYear

2009

fDate

1-7 Feb. 2009

Firstpage

59

Lastpage

62

Abstract

In this note, we study some properties of the GHZ state. First, we present a quantum secret sharing scheme in which the participants require only classical channels in order to reconstruct the secret; our protocol is significantly more efficient than the trivial usage of teleportation. Second, we show that the classical simulation of an n-party GHZ state requires at least n log2 n - 2n bits of communication. Finally, we present a problem simpler than the complete simulation of the multi-party GHZ state, that could lead to a no-go theorem for GHZ state simulation.

Keywords

cryptographic protocols; quantum cryptography; quantum entanglement; teleportation; entanglement simulation; multiparty GHZ state; no-go theorem; protocol; quantum secret sharing scheme; teleportation; Communication standards; Complexity theory; Computational modeling; Context; Cryptography; Physics; Protocols; Quantum computing; Quantum entanglement; Teleportation; GHZ state; Secret sharing; entanglement simulation;

fLanguage

English

Publisher

ieee

Conference_Titel

Quantum, Nano and Micro Technologies, 2009. ICQNM '09. Third International Conference on

Conference_Location

Cancun

Print_ISBN

978-1-4244-3349-0

Electronic_ISBN

978-0-7695-3524-1

Type

conf

DOI

10.1109/ICQNM.2009.20

Filename

4782923