Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs

Abstract

A scheme for multiparty quantum state sharing of an arbitrary two-particle state is presented with Einstein-Podolsky-Rosen pairs. Any one of the N agents has the access to regenerate the original state with two local unitary operations if he collaborates with the other agents, say the controllers. Moreover, each of the controllers is required to take only a product measurement σx ⊗ σx on his two particles, which makes this scheme more convenient for the agents in the applications on a network than others. As all the quantum source can be used to carry the useful information, the intrinsic efficiency of qubits approaches the maximal value. With a new notation for the multipartite entanglement, the sender need only publish two bits of classical information for each measurement, which reduces the information exchanged largely.

Sufficient and necessary conditions of separability for bipartite pure states in infinite-dimensional systems

“…or can be approximated in the trace norm by the states of the above form [1,2], where the series converges in trace norm, ρ (1) , ρ i (1) and ρ (2) , ρ i The quantum entangled states have been used as a basic resource in quantum information processing and communication [3,4], such as quantum cryptography [5,6], quantum computation [7,8], quantum secret sharing [9,10], quantum dense coding [11] and so on. Recently, entanglement in different models are investigated, for instance, the JaynesCummings model [12], the Heisenberg XXZ model [13,14], the QED model [15] and the CV photon model [16].…”

A Resilient Quantum Secret Sharing Scheme

“…Later this process was investigated by Karlsson et al [9] using three particle entanglement, Cleve et al [4] using a process similar to error correction and Zheng using W state [26]. The QSS of an arbitrary two-qubit state was proposed by Deng et al using two GHZ states [5]. QSS using cluster states was demonstrated by Nie [14], Panigrahi [17,13] and Han [6].…”

Optimal multipartite entanglement concentration of electron-spin states based on charge detection and projection measurements

“…In 1999, Hillery, Bužek, and Berthiaume [7] presented an interesting quantum secret sharing protocol based on multipartite photon systems in a maximally entangled state. Subsequently, it is generalized to the case with two-photon entangled channels [8], arbitrary number of agents [9], and that to sharing an unknown quantum state [10][11][12][13] with a quantum channel in a multipartite maximally entangled state. In 2002, Long and Liu [14] proposed the first quantum secure direct communication (QSDC) protocol with a block of two-photon systems in Bell states.…”