Controlled Remote Preparation of a Two-Qubit State via Positive Operator-Valued Measure and Two Three-Qubit Entanglements

2011 ◽  
Vol 50 (8) ◽  
pp. 2410-2425 ◽  
Author(s):  
Jin-Fan Song ◽  
Zhang-Yin Wang
Keyword(s):  
Positive Operator ◽  
Qubit State ◽  
Remote Preparation ◽  
Controlled Remote Preparation ◽  
Positive Operator Valued Measure

SYMMETRIC AND PROBABILISTIC MULTIPARTY REMOTE STATE PREPARATION VIA THE POSITIVE-OPERATOR-VALUED MEASURE

2009 ◽  
Vol 07 (05) ◽  
pp. 991-999 ◽  
Author(s):  
YI-MIN LIU ◽  
ZHANG-YIN WANG ◽  
XIAN-SONG LIU ◽  
ZHAN-JUN ZHANG
Keyword(s):  
Positive Operator ◽  
Qubit State ◽  
Remote State Preparation ◽  
The Other ◽  
Projective Measurement ◽  
State Preparation ◽  
Single Qubit ◽  
Prepared State ◽  
Positive Operator Valued Measure

We present a tripartite scheme for a preparer to remotely prepare an arbitrary single-qubit state in either distant ministrant's place by using a GHZ-type state. After the preparer's single-qubit state projective measurement, by performing a proper positive operator-valued measure, one ministrant can construct the preparer's state in a probabilistic manner with the other ministrant's assistance. Furthermore, we show that the remote state preparation can be achieved with a higher probability provided that the prepared state belongs to two special ensembles. Finally, we sketch the generalization of the tripartite scheme to a multiparty case.

PROBABILISTIC MULTIPARTY-CONTROLLED REMOTE PREPARATION OF AN ARBITRARY m-QUDIT STATE VIA POSITIVE OPERATOR-VALUED MEASUREMENT

2012 ◽  
Vol 10 (05) ◽  
pp. 1250062 ◽  
Author(s):  
ZHAO LI ◽  
PING ZHOU
Keyword(s):  
Positive Operator ◽  
Success Probability ◽  
Entangled States ◽  
System State ◽  
Practical Application ◽  
Original State ◽  
Remote Preparation ◽  
High Success Probability ◽  
The Relationship ◽  
Controlled Remote Preparation

We present a scheme for multiparty-controlled remote preparation of an arbitrary m-qudit (d-dimensional quantum system) state via positive operator-valued measurement (POVM) by using nonmaximally entangled states as the quantum channel, not resorting to auxiliary qubits. The sender performs an optimal POVM measurement on her m particles with measurement operators that depend on the original state, the controllers perform generalized X-basis measurement X d and the receiver can prepare the original state if he cooperates with all the controllers and the sender. The scheme has the advantage of having high success probability for remote preparing an arbitrary m-qudit state and more convenient than others in a practical application. Moreover, it discusses the relationship between the probability that the receiver obtains the originally state and the coefficients of the entangled states.

Hierarchical controlled quantum communication via the χ state under noisy environment

2020 ◽  
Vol 35 (37) ◽  
pp. 2050306
Author(s):  
Nian-Nian Wang ◽  
Song-Ya Ma ◽  
Xiang Li
Keyword(s):  
Quantum Information ◽  
Quantum Communication ◽  
Qubit State ◽  
Noisy Environment ◽  
Average Fidelity ◽  
Single Qubit ◽  
Phase Damping ◽  
Measurement Basis ◽  
Remote Preparation ◽  
Controlled Remote Preparation

Wang et al. first studied hierarchical quantum information splitting of an arbitrary single-qubit state via the [Formula: see text] state as the entangled channel. There exists a hierarchy among the three receivers as far as the power to recover the teleported state is concerned. But the scheme is considered in ideal environment. In this paper, we reinvestigate the scheme in amplitude-damping and phase-damping noises. The fidelity and average fidelity are adopted to quantify the effect of noise. It is found that they are both dependent on the coefficients of the teleported state and the noise parameter. Moreover, we put forward a novel deterministic scheme to realize hierarchical controlled remote preparation of an arbitrary single-qubit state. Comparing with the previous scheme via the [Formula: see text] state, the sender does not need to perform information dividing due to the subtly constructed measurement basis. We also consider the proposed scheme under noisy environment.

GENERALIZED QUANTUM TWO-QUBIT STATE SHARING VIA POSITIVE OPERATOR-VALUED MEASURE

2011 ◽  
Vol 09 (01) ◽  
pp. 571-581 ◽  
Author(s):  
ZHANG-YIN WANG ◽  
XING-QIANG YANG
Keyword(s):  
Quantum State ◽  
Positive Operator ◽  
Bell State ◽  
Qubit State ◽  
Quantum State Sharing ◽  
Original State ◽  
Measurement Results ◽  
Qubit States ◽  
Bell State Measurements ◽  
Positive Operator Valued Measure

By using a proper positive operator-valued measure (POVM), we present a new scheme for probabilistically implementing quantum state sharing of an arbitrary unknown two-qubit state with two non-maximally entangled three-qubit states. In this paper, the sender Alice averagely partitions its unknown original state with two Bell-state measurements and publishes her measurement results via a classical channel. Then by performing a proper POVM, it is shown that either of the two agents Bob or Charlie can recover the original state in a probabilistic manner provided that he/she gets another one's help. Lastly, we concisely generalize the tripartite scheme to a multi-party case.

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