Joint remote state preparation of mixed states

Abstract

Joint remote state preparation (JRSP) has gained much attention since its first appearance. However, almost all the proposals have focused on the JRSP of pure states. In this paper, we present a scheme of JRSP for mixed states via the three-qubit GHZ state. The scheme is deterministic for real coefficient mixed states and probabilistic for complex ones. The corresponding quantum circuits are given for the deterministic JRSP schemes. The model of the deterministic JRSP scheme is introduced in the language of density operators. Furthermore, we investigate the efficiency of deterministic JRSP when some qubits in the protocol are subjected to a noisy environment. Four types of noise usually encountered in quantum communication are considered, i.e. the bit-flip, phase-flip (phase-damping), depolarizing and amplitude-damping noise. We find that the fidelity is affected by both coefficients of the target mixed state and noise parameter of the channel. Specifically, the fidelity decreases with the purity parameter in the presence of noise.

Enhanced deterministic joint remote state preparation under Pauli channels with memory

“…By setting p 0 =1−p and p 1 =p 2 =p 3 =p/3, we can get the depolarizing channel with memory, where p is the probability of replacing the qubit with the complete mixed state [42,48,73]. The corresponding parameters in equation (17) are given by (…”

“…Phase-damping channel with memory. The phasedamping channel with memory is obtained by letting p 0 =1−p, p 3 =p and p 1 =p 2 =0 in equation(12), where p is the probability of changing the qubit | ñ 1 to | -ñ 1[42,48,73]. The corresponding parameters in equation(17) …”

Spodium bonding with noble gas atoms

“…5,6 According to Flad et al, 7 the zinc cluster's binding energy abruptly increases between Zn 3 and Zn 4 , where Zn n is the cluster made up of n atoms. The electronic as well as structural features of the zinc clusters Zn n (n = 2-20) were determined by Wang et al 8 using DFT computation using a generalised gradient approximation (GGA). In order to analyse the highresolution infrared laser spectra of complexes of zinc clusters with an HCN molecule, HCN(Zn) n (n = 1-4), in helium nanodroplets, Stiles and Miller 9 used helium as the gas.…”

Correlated noise enhances performance of joint remote state preparation in quantum multi-hop network

“…The successful probability of JRSP would be equal to [16][17][18][19][20] or less than one hundred percent [21][22][23][24], which is determined by the target state and shared channel. The joint preparation of various states was investigated by researchers, such as mixed states [25], equatorial states [21,26,27], single-, two-, and three-qubit states [28][29][30][31] and fourdimensional states [32]. The preparation of special entangled states under joint framework was discussed, such as Cluster-type states [33][34][35][36][37], W-type state [38,39], five-qubit Brown state [40] and four-qubit χ state [41].…”