Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement

Abstract

We present a way for symmetric multiparty-controlled teleportation of an arbitrary two-particle entangled state based on Bell-basis measurements by using two Greenberger-Horne-Zeilinger states, i.e., a sender transmits an arbitrary two-particle entangled state to a distant receiver, an arbitrary one of the n + 1 agents via the control of the others in a network. It will be shown that the outcomes in the cases that n is odd or it is even are different in principle as the receiver has to perform a controlled-not operation on his particles for reconstructing the original arbitrary entangled state in addition to some local unitary operations in the former. Also we discuss the applications of this controlled teleporation for quantum secret sharing of classical and quantum information. As all the instances can be used to carry useful information, its efficiency for qubits approaches the maximal value.Horne-Zeilinger (GHZ) state |ψ L = 1 √ 2 (|1010 + |0101 ). Recently, Rigolin [17] showed a way to teleport an arbitrary two-qubit entangled state with a four-particle entangled state |ψ R = 1 2 (|0000 + |0101 + |1010 + |1111 ) and four-particle joint measurements.Recently, controlled teleporation for a single-qubit |χ = a| ↑ + b| ↓ [33,34] [35] have been studied. In those teleportation protocols, the qubits can be regenerated by one of the receivers with the help of the others. Those principles can be used to split a quantum secret in QSS [19]. In this paper, we will present a symmetric protocol for multiparty-controlled teleportation of an arbitrary two-particle entangled state with two GHZ states and

An efficient scheme for multi-party quantum state sharing via non-maximally entangled states

“…Similar to most existing QSTS schemes, our scheme also presents a control and probabilistic teleportation protocol. As discussed in references [1][2][3][4][5][6][7][8][9], the security of this QSTS scheme still depends on the process of setting up quantum channels. However, in the case of other schemes, due to inevitable environmental effects, an initially maximally entangled channel shared between the agents involved may easily evolve into various non-maximally entangled channels.…”

“…The shared quantum states can be known or unknown in advance to the initial holder. In most QSTS protocols [8][9][10][11][12][13][14][15][16][17][18][19], entanglement is the main phenomenon used to share quantum information. So far, various entangled states have been extensively used in QSTS protocols, such as Bell states [7][8][9][10][11] …”

“…In most QSTS protocols [8][9][10][11][12][13][14][15][16][17][18][19], entanglement is the main phenomenon used to share quantum information. So far, various entangled states have been extensively used in QSTS protocols, such as Bell states [7][8][9][10][11], GHZ states [12][13][14][15], W states [16,17], cluster states [18][19][20], and Brown states [21][22][23]. Recently, Gao et al [24] presented a scheme for quantum state sharing between a multi-party and a multi-party with three conjugate bases.…”

The Effect of Field Changing on Two Qubit Entanglement with Different Criteria

“…1 for a partially entangled atomic pure state that is a combination of the Bell states we consider two dierent atomic initial states as follows: |ψ a (0) = cos(β)|eg + sin(β)|ge , (2) |ψ a (0) = cos(β)|ee + sin(β)|gg , (3) where |ψ a (0) = |ψ atom (0) . First o, we assume that the eld is initially in coherent state |ψ F (0) = |α = e − |α| |n , α = √n e i η (we take η = 0).…”

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.…”