Minimal classical communication and measurement

complexity for quantum information splitting

of a two-qubit state

PRASANTA K PANIGRAHI^1,*, SIDDHARTH KARUMANCHI² and

SRERAMAN MURALIDHARAN³

¹Indian Institute of Science Education and Research (IISER) Kolkata,

Mohanpur Campus, Mohanpur 741 252, India and

Physical Research Laboratory, Navrangpura, Ahmedabad 380 009, India

²Birla Institute of Technology and Science, Pilani 333 031, India

³Loyola College, Nungambakkam, Chennai 600 034, India

^*Corresponding author. E-mail: prasanta@prl.res.in

Abstract. We investigate the usefulness of the highly entangled

five-partite cluster and Brown states for the quantum information

splitting (QIS) of a special kind of two-qubit state using remote

state preparation. In our schemes, the information that is to be

shared is known to the sender. We show that, QIS can be

accomplished with just two classical bits, as opposed to four

classical bits, when the information that is to be shared is unknown

to the sender. The present algorithm, demonstrated through the

cluster and Brown states is deterministic as compared to the previous

works in which it was probabilistic.

Keywords. Entanglement; teleportation; secret sharing;

information splitting.

PACS Nos 03.65.Ud; 03.67.-a; 03.67.Hk; 03.67.Dd