Abstract

In this manuscript, a novel and economical scheme for asymmetric quantum information splitting (AQIS) of an arbitrary N-qubit state is investigated. Instead of multi-qubit entangled states, the maximally entangled states, which are made up of a three-qubit GHZ-like entangled state and (N−1) sets of Bell states, are used as quantum information carrier. It is shown that the proposed AQIS scheme can be faithfully realized by performing appropriate Bell state measurements (BSMs), single qubit measurements (SMs) and local unitary operations (LUOs), rather than multi-qubit entanglement or multi-particle joint measurements, which make it more convenient and feasible in a practical application than some previous schemes. Furthermore, its intrinsic efficiency for qubits approaches 100 %, and the total efficiency really approaches the maximal value, which is higher than those of some previous symmetric quantum information splitting (QIS) schemes. Finally, the proposed scheme can be proven information-theoretically secure from the views of participant attack and outside attack in detail.

Highlights

  • After the pioneering work of Bennett et al [1] (BB84), quantum key distribution (QKD) has progressed rapidly, and become one of the most important branch of quantum informa-B S.-Y

  • The idea of quantum secret sharing (QSS), in the literature, has been developed to the following three tasks: CC [11], CQ [9](classical information is shared among parties by distributing QSS states through public insecure channels, which are open for eavesdropping) and QQ [12,13,14,15,16,17,18](known as quantum state sharing or quantum information splitting, a secret quantum state is shared among parties by distributing QSS states through public channels)

  • A novel scheme is investigated for asymmetric quantum information splitting (AQIS) of an arbitrary N -qubit state

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Summary

Introduction

After the pioneering work of Bennett et al [1] (BB84), quantum key distribution (QKD) has progressed rapidly, and become one of the most important branch of quantum informa-. In 1999, Hillery et al [4] proposed the pioneering QSS scheme for sharing a classical secret among three parties with a three-particle entangled GHZ state. The idea of QSS, in the literature, has been developed to the following three tasks: CC [11] (classical information is shared among parties by distributing QSS states through private secure channels, which are invulnerable to eavesdropping), CQ [9](classical information is shared among parties by distributing QSS states through public insecure channels, which are open for eavesdropping) and QQ [12,13,14,15,16,17,18](known as quantum state sharing or quantum information splitting, a secret quantum state is shared among parties by distributing QSS states through public channels).

AQIS of an Arbitrary Two-Qubit State
Preparation of GHZ-like State
Generalized AQIS of an Arbitrary N -qubit State
Security Analysis
Conclusion and Discussion
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