Joint Remote Preparation of an Arbitrary Five-Qubit Brown State

Controlled bidirectional remote state preparation in noisy environment: a generalized view

“…From (30) and (31), we can see that both the fidelities F AD for amplitude-damping noise and F PD for phase-damping noise depend only on the decoherence rate η k and the amplitude information (i.e., a i and b i ) of the states that were attempted to be prepared remotely and fidelities are independent of the corresponding phase information φ i . A similar observation was recently reported in Ref.…”

“…All these schemes may be viewed as modified teleportation protocols. Considerable attention has been devoted to bidirectional controlled quantum state teleportation (BCST) [13][14][15][16][17][18][19][20][21][22], controlled remote state preparation [23] and joint remote state preparation (JRSP) [24][25][26][27][28][29][30][31][32], among others.…”

“…Using measurement outcomes of the senders, the receiver can apply appropriate unitary operations and reconstruct the unknown quantum state, which is jointly transmitted by the senders. Extending this idea, JRSP schemes have been proposed for, among others, two-qubit equatorial states [27], W and W-type states [41,42], arbitrary two-qubit state [40], four-qubit cluster-like state [24], five-qubit Brown state [30], multi-qubit states [31] and arbitrary two and three-qubit entangled states [32]. Further generalizing these ideas, schemes were proposed for controlled RSP [44], controlled JRSP [45], JRSP between multi-receiver and multi-sender [28], multi-party JRSP of an arbitrary mqubit state [29], multi-party controlled JRSP [26], deterministic JRSP [46] and JRSP with a passive receiver [25].…”

Schemes for Remotely Preparing an Arbitrary Five-Qubit Brown-Type State

“…For example, the RSP protocol proposed by Pati 8 requires only one classical bit from the sender to the receiver for a qubit chosen from equatorial or polar great circles on a Bloch sphere, while in standard teleportation two classical bits are needed. The trade-o® between the classical communication cost (CCC) and the required entanglement in RSP procedure has been studied distinctly by Bennett et al 9 So far, various theoretical aspects of RSP have been addressed for the generalization of RSP, [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] such as oblivious RSP, low-entanglement RSP, optimal RSP, faithful RSP, continuous variable RSP in phase space, joint RSP and so on. Meantime, experimental implementations of some RSP schemes have been reported.…”

“…Although many proposals have realized the entangled GHZ-calss state, W-class sate, and four-qubit cluster-type state in RSP, there are few schemes for remotely preparing entangled Brown-type state. Recently, Luo et al 26 investigated the joint remote preparation of the Browntype state. By constructing some useful measurement bases which have many restrictions for the coe±cients of the prepared state, they present two schemes to prepare an arbitrary Brown-type state with real coe±cients or complex coe±cients.…”