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European Quantum Electronics Conference (EQEC)

Experimental demonstration of 4 party quantum secret sharing and multiparty quantum key distribution

Sascha Gaertner, Mohamed Bourennane, Manfred Eibl, Christian Kurtsiefer, Harald Weinfurter

Published Nov 15, 2004• 0 citations
Publisher

Abstract

A polarization entangled 4-photon state is shown to be directly created by parametric down-conversion. How this state can be used for quantum secret sharing is discussed. Quantum key distribution is distributed to 3 of the 4 parties. Experimental implementation of this multiparty quantum secure communication schemes and demonstration of a 4-party quantum secret-sharing protocol are presented.

DOI
10.1109/eqec.2003.1314273

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A polarization entangled 4-photon state is shown to be directly created by parametric down-conversion. How this state can be used for quantum secret sharing is discussed. Quantum key distribution is distributed to 3 of the 4 parties. Experimental implementation of this multiparty quantum secure communication schemes and demonstration of a 4-party quantum secret-sharing protocol are presented.
Secret sharing is a multiparty cryptographic task in which some secret information is split into several pieces which are distributed among the participants such that only an authorized set of participants can reconstruct the original secret. Similar to quantum key distribution, in quantum secret sharing, the secrecy of the shared information relies not on computational assumptions, but on laws of quantum physics. Here, we present an experimental demonstration of four-party quantum secret sharing via the resource of four-photon entanglement.
Abstract We consider two simple and practical protocols for multiparty communication and show their experimental realization. These protocols deal with the task of secret sharing in which a secret message is split among several parties in a way that its reconstruction requires their mutual collaboration. In the presented schemes the parties solve the problem by two different approaches: The first uses as a resource the multiqubit entangled state |Π4‐〉. As no interferometric setups are required here, contrary to known schemes, involving Greenberger‐Horne‐Zeilinger states, its implementation is simpler and more stable. In the second scheme only sequential transformations on a single qubit are used. This further tremendously simplifies the method, makes it scalable with regard to the number of participating partners and above all, technologically comparable to quantum key distribution.
We describe and experimentally demonstrate a more practical three-party quantum secret sharing (QSS) protocol using polarization-entangled photon pairs. The source itself serves as an active participant and can switch between the required photon states by modulating the pump beam only, thereby making the protocol less susceptible to loss and amenable to fast switching. We derive a security proof based on quantum key distribution, demonstrating our QSS protocol to be secure against both eavesdropping and dishonest participants. Compared to three-photon protocols, the practical efficiency is dramatically improved as there is no need to generate, transmit, or detect a third photon.
In single-qubit quantum secret sharing, a secret is shared between NNN parties via manipulation and measurement of one qubit at a time. Each qubit is sent to all NNN parties in sequence; the secret is encoded in the first participant's preparation of the qubit state and the subsequent participants' choices of state rotation or measurement basis. We present a protocol for single-qubit quantum secret sharing using polarization entanglement of photon pairs produced in type-I spontaneous parametric downconversion. We investigate the protocol's security against eavesdropping attack under common experimental conditions: a lossy channel for photon transmission, and imperfect preparation of the initial qubit state. A protocol which exploits entanglement between photons, rather than simply polarization correlation, is more robustly secure. We implement the entanglement-based secret-sharing protocol with 87% secret-sharing fidelity, limited by the purity of the entangled state produced by our present apparatus. We demonstrate a photon-number splitting eavesdropping attack, which achieves no success against the entanglement-based protocol while showing the predicted rate of success against a correlation-based protocol.
We present a setup for quantum secret sharing based on energy-time entanglement. In opposition to known implementations using three particle Greenberger-Horne-Zeilinger (GHZ) states, our idea takes advantage of only two entangled photons created via parametric down conversion. However, the system comprising the pump plus the two down-converted photons bare the same quantum correlation and can be used to mimic three entangled qubits. The relatively high coincidence count rates found in our setup enable for the first time an application of a quantum communication protocol based on more than two qubits.