Remote Preparation of a Two-Particle Entangled State via Two Tripartite W Entangled States

Abstract

We present a scheme for remotely preparing a general two-particle entangled state via two tripartite W entangled states of different amplitudes. In this scheme one sender and two remote receivers are involved. The sender can help either one of the receivers to remotely reconstruct the original state with the aid of the other receiver's two single-particle orthogonal measurements. It is shown that by means of the method of the positive operatorvalued measurement, our remote state preparation scheme can be achieved probabilistically.Keywords Remote state preparation · W state · Positive operator-valued measurement Entanglement, a new class of correlations between quantum systems making quantum information different from classical information in nature, is a fundamental conception in quantum mechanics and quantum information theory. It has provided a new physical resource for quantum information processing such as quantum teleportation [1], quantum cryptography [2], remote state preparation [3][4][5][6][7][8], quantum computation [9] and so on. As to tripartite quantum pure states, there are only two nonequivalent classes, the Greenberger-Horne-Zeilinger (GHZ) class and the W class [10,11], under stochastic local operation and classical communication. Although the properties of the tripartite entangled states have not been fully understood, the tripartite GHZ state and W state have been applied in many aspects of quantum information [12][13][14][15], including remote state preparation (RSP) which is regarded as an interesting direction of quantum information. RSP has prospered since its inception [3][4][5], and is still in rapid development. It is also called "teleportation for a known state", for its task

Remote Preparation of an Arbitrary Two-Qubit State with Three-Party

“…Without the controller's measurement on its particle, the receiver can not obtain the prepared state. In this case, it is named with the controlled RSP or assisted RSP [14,23]. Also, it can be realized as follows: the controller performs the measurement on its particle under the basis…”

“…In this paper, based on some ideas in [16,17], one protocol is proposed to remotely prepare an arbitrary two-qubit state from a sender to either of two receivers. This scheme can also be viewed as the quantum state sharing scheme [18][19][20][21][22] or the controlled RSP [14,23].…”

Remote Preparation of a Six-Particle Entangled Cluster-Type State

“…Up to now, many theoretical RSP protocols for various states have been investigated, such as the remote preparation of single particle state [3][4][5][6][7][8][9][10][11][12][13], two-particle entangled state [14][15][16][17][18][19], three-particle entangled state [19][20][21], four-particle cluster-type state [22][23][24], multiparticle W-type state [25,26], multi-particle GHZ-type state [27][28][29] and so on. On the other hand, some experimental RSP protocols have been reported in Refs.…”

Symmetric Remote Two-Qubit Preparation via Positive Operator-Valued Measure

“…Therefore, one may conjecture that it is quite possible to use positive operator-valued measure (POVM) [43] instead of usual projective measurement to realize RSP protocols. As a matter of fact, POVM has already attracted much attention and been employed in various quantum information processing [45][46][47][48][49].…”