Deterministic Joint Remote Preparation of an Arbitrary Qubit via Einstein-Podolsky-Rosen Pairs

Abstract

Joint remote state preparation is a secure and faithful method based on local operation and classical communication to transmit quantum states without the risk of full information leaking to either of the participants. In this work, we propose a new deterministic protocol for two parties to remotely prepare an arbitrary single-qubit state for a third party using two Einstein-Podolsky-Rosen pairs as the nonlocal resource. We figure out the advantages as well as the disadvantages of this new protocol in comparison with others, showing in general that the proposed protocol is superior to the existing ones. We also describe the situation when there are more than two preparers.

Nonmaximal Entanglement Can Make Joint Remote State Preparation Absolutely Secure

“…Of course, this important feature does not arise in the case of maximal entanglement for which µ = ν = 1/ √ 2. Actually, the nonmaximally entangled quantum channel (2) was employed already in several previous works [12][13][14][15][16], in which, however, µ and ν were not exploited at all for information splitting. In fact, there are many ways to define f x(y) (a, b, α, β, µ, ν) and in theory these functions could be tailored so as to obtain the highest success probability.…”

“…In this paper, we discover one more positive aspect of nonmaximal entanglement: it can boost security of the so-called joint remote state preparation (JRSP) [12][13][14][15][16] to the highest level. JRSP is an interesting multiparty quantum task that has recently attracted attention in the quantum information community from both theoretical [12][13][14][15][16][17][18][19][20][21] and experimental architecture [22] points of view.…”

“…JRSP is an interesting multiparty quantum task that has recently attracted attention in the quantum information community from both theoretical [12][13][14][15][16][17][18][19][20][21] and experimental architecture [22] points of view. In contrast to the well-known remote state preparation (RSP) [23] in which one party has complete classical knowledge of a quantum state |Ψ to be faithfully prepared at a remote party's location, in JRSP there are several inferiors who are assigned by a superior to jointly prepare the state |Ψ for a remote receiver.…”

“…So the superior can secretly split the information of the state |Ψ into pieces each of which is given to an inferior to exclude leakage of full information about |Ψ to any of the inferiors. Both maximally and nonmaximally entangled states have been used as the quantum channel for JRSP and the security level of all the existing protocols [12][13][14][15][16][17][18][19][20][21][22] is that any subgroup of the inferiors cannot exactly identify the state |Ψ but all the inferiors together can. Like in blind quantum computation [24], it is highly desirable also for JRSP to have absolute security in the sense that neither an individual nor the entire group of the participants (i.e., all the inferiors plus the receiver) can precisely infer the sate |Ψ .…”

Deterministic joint remote preparation of an arbitrary two-qubit state in noisy environments

“…In JRSP, the initial state can be remotely reconstructed only under the cooperation of all the senders. Subsequently, JRSP has been further generalized [24][25][26][27][28][29], and some protocols for deterministic joint remote preparation of arbitrary single-qubit, two-qubit, three-qubit, and multi-qubit states has been suggested [30][31][32][33][34][35][36][37] via different types of entangled channels.…”