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International Conference on Communication and Network Security (ICCNS)

Deterministic Controlled Remote State Preparation of Arbitrary Real-parameter Multi-qubit States via Three-qubit Entangled States

Kaihang Zhou, Lei Shi, Jiahua Wei, Yang Xue, Jie Tang

Published Nov 15, 2019• 0 citations
Publisher

Abstract

This paper offers a theoretical protocol for deterministic controlled remote state preparation of arbitrary real-parameter multi-qubit states, in which the maximally three-qubit entangled states are used as quantum channel. We elaborate the processes of implementing remote state preparation of the real-parameter two- and three-qubit states, and extend the protocol to realize the real-parameter n-qubit states. By performing the appropriate multi-qubit projective measurement basis and multi-qubit unitary operations, the successful probability of our scheme can reach 100%.

DOI
10.1145/3371676.3371688

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This paper offers a theoretical protocol for deterministic controlled remote state preparation of arbitrary real-parameter multi-qubit states, in which the maximally three-qubit entangled states are used as quantum channel. We elaborate the processes of implementing remote state preparation of the real-parameter two- and three-qubit states, and extend the protocol to realize the real-parameter n-qubit states. By performing the appropriate multi-qubit projective measurement basis and multi-qubit unitary operations, the successful probability of our scheme can reach 100%.
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In this paper, two novel schemes for deterministic joint remote state preparation (JRSP) of arbitrary single- and two-qubit states are proposed. A set of ingenious four-particle partially entangled states are constructed to serve as the quantum channels. In our schemes, two senders and one receiver are involved. Participants collaborate with each other and perform projective measurements on their own particles under an elaborate measurement basis. Based on their measurement results, the receiver can reestablish the target state by means of appropriate local unitary operations deterministically. Unit success probability can be achieved independent of the channel's entanglement degree.
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We propose a novel and efficient scheme for probabilistic controlled remote state preparation of an arbitrary two-qubit quantum state with the aid of the introduction of auxiliary particles and some appropriate local unitary operations. In this scheme, two partially three-qubit entangled states are used as quantum channel. The controlled preparation with one sender, two receivers and one controller can be realized when the information of nonmaximally entangled states are only available for the sender. Furthermore, the concrete implementation processes of this proposal are presented, and the successful probability of our scheme are calculated in the general case and special case, respectively.
Abstract We present two schemes for the joint remote state preparation (JRSP) of an arbitrary tripartite four-qubit entangled state with complex coefficients via four and two three-qubit GHZ states as the quantum channel, respectively. In these schemes, the two senders share the original state which they wish to help the receiver remotely prepare. To complete the JRSP schemes, some novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if the two senders collaborate with each other, and perform projective measurements under a suitable measuring basis on their own qubits respectively, can the receiver reconstruct the original state by means of some appropriate unitary operations. We demonstrate, in our both schemes, the total success probability of the JRSP can reach 1. Moreover, compared with the first scheme in this paper, the advantage of the second scheme is that the entanglement resource can be reduced.
\n Recently Liu et al. (EPL, 87 (2009) 30006) have proposed two new schemes for probabilistically preparing arbitrary two- and three-qubit states with complex coefficients based on two- and three-qubit projective measurement, respectively. In this letter, we present a possible improvement of the successful probability for their schemes. For this purpose, we put forward two novel schemes for remote preparation of arbitrary two- and three-qubit states with complex coefficients via two and three GHZ states as the quantum channel, respectively. To complete the schemes, two novel unitary operations have been introduced. Compared with the previous schemes, the advantage of our schemes is that the total successful probability can reach 100%.\n