A tripartite scheme for securely sharing an arbitrary unknown two-qutrit state is proposed, where two generalized Greenberger–Horne–Zeilinger (GHZ) states serve as the quantum channel linking the three legitimate parties. The quantum information (i.e., the arbitrary unknown two-qutrit state) from the sender can be split in such a way that it can be reconstructed deterministically by any agent via a proper unitary operation provided that both agents collaborates together. Moreover, the generalization of the tripartite scheme to more-party case is also outlined.A tripartite scheme for securely sharing an arbitrary unknown two-qutrit state is proposed, where two generalized Greenberger–Horne–Zeilinger (GHZ) states serve as the quantum channel linking the three legitimate parties. The quantum information (i.e., the arbitrary unknown two-qutrit state) from the sender can be split in such a way that it can be reconstructed deterministically by any agent via a proper unitary operation provided that both agents collaborates together. Moreover, the generalization of the tripartite scheme to more-party case is also outlined.

Communications in Theoretical PhysicsMay 1, 200829 citations

Quantum Information Splitting of an Arbitrary Five-Qubit State Using Four-Qubit Entangled States

Xiaofang Liu, Dongfen Li, Yundan Zheng +5 more

International Journal of Theoretical PhysicsAug 17, 20225 citations

Splitting of quantum information using N-qubit linear cluster states

Sreraman Muralidharan, Sakshi Jain, Prasanta Kumar Panigrahi

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Only n -qubit Greenberger-Horne-Zeilinger states contain n -partite information

Scott N. Walck, David W. Lyons

The generalized $n$ -qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only pure states of $n$ qubits that are not uniquely determined (among arbitrary states, pure or mixed) by their reduced density matrices of $n\ensuremath{-}1$ qubits. Thus, the generalized GHZ states are the only ones containing information at the $n$ -party level.The generalized $n$-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only pure states of $n$ qubits that are not uniquely determined (among arbitrary states, pure or mixed) by their reduced density matrices of $n\ensuremath{-}1$ qubits. Thus, the generalized GHZ states are the only ones containing information at the $n$-party level.

arXiv:0808.0859Physical Review AMar 20, 200926 citations

Quantum Information Splitting of an Arbitrary Three-Qubit State Using a Seven-Qubit Entangled State

Yan Chen

International Journal of Theoretical PhysicsSep 25, 201312 citations

The generalized

n

-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only pure states of

n

qubits that are not uniquely determined (among arbitrary states, pure or mixed) by their reduced density matrices of $n\ensuremath{-}1$ qubits. Thus, the generalized GHZ states are the only ones containing information at the

n

-party level.