Secure Controlled Teleportation

Details Secure Controlled Teleportation Secure Controlled Teleportation

2006-09-05

arxiv.org/abs/quant-ph/0609028v1

Physics

Quantum Physics

3 pages, presented as a poster in AQIS'06, where A. Winter suggested considerable improvements to the main result (these sugge

Scientific paper

Several protocols for controlled teleportation were suggested by Yang, Chu, and Han [PRA 70, 022329 (2004)]. In these protocols, Alice teleports qubits (in an unknown state) to Bob iff a controller allows it. We view this problem in the perspective of secure multi-party quantum computation. We show that the suggested entanglement-efficient protocols for $m$-qubit controlled teleportation are open to cheating; Alice and Bob may teleport $(m-1)$-qubits of quantum information, out of the controllers' control. We conjecture that the straightforward protocol for controlled teleportation, which requires each controller to hold $m$ entangled qubits, is optimal. We prove this conjecture for a limited, but interesting, subset of protocols.

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