In the present article, two conclusive multiparty quantum state preparation (JRSP) schemes in the amplitude damping channel are proposed, which respectively prepare an arbitrary single-qubit state and single-qutrit state. To achieve this, the detailed procedures of using entanglement compensation in an amplitude-damped channel to share pure entangled quantum states are first proposed. Then, using the pure entangled quantum state shared between the two senders and their two agents as a quantum channel, the senders’ original state, i.e., a single-qubit state (or single-qutrit state) is prepared at one of the locations where the two distant agents are located in this way that both senders perform single-qubit projective measurements (or one sender performs a single-qutrit positive operator-valued measurement while the other performs a single-qutrit projective measurement) based on their understanding of the original state, and the original single-qubit (or single-qutrit) state can be probabilistically reconstructed under two agents collaborating together. Subsequently, the above two schemes are generalized from 2 agents to the scenario of n (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_6033_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">$ n \ge 3 $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>n</mi> <mo>≥</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation>) agents. In addition, through the analysis, we can see that the above two basic schemes can also be generalized from 2 senders to the scenario of m (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_6033_Article_IEq2.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">$ m \ge 3 $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>m</mi> <mo>≥</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation>) senders.

Conclusive Multiparty Joint Remote Preparation of an Arbitrary Single-particle State in Amplitude-damping Channel

期刊论文
发表日期：

2025年6月11日

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Nueraminaimu Maihemuti,
Jiayin Peng,
Yimamujiang Aisan,
Zhongwen Wang,
Jiangang Tang

摘要

In the present article, two conclusive multiparty quantum state preparation (JRSP) schemes in the amplitude damping channel are proposed, which respectively prepare an arbitrary single-qubit state and single-qutrit state. To achieve this, the detailed procedures of using entanglement compensation in an amplitude-damped channel to share pure entangled quantum states are first proposed. Then, using the pure entangled quantum state shared between the two senders and their two agents as a quantum channel, the senders’ original state, i.e., a single-qubit state (or single-qutrit state) is prepared at one of the locations where the two distant agents are located in this way that both senders perform single-qubit projective measurements (or one sender performs a single-qutrit positive operator-valued measurement while the other performs a single-qutrit projective measurement) based on their understanding of the original state, and the original single-qubit (or single-qutrit) state can be probabilistically reconstructed under two agents collaborating together. Subsequently, the above two schemes are generalized from 2 agents to the scenario of n ( $ n \ge 3 $ $n \geq 3$ ) agents. In addition, through the analysis, we can see that the above two basic schemes can also be generalized from 2 senders to the scenario of m ( $ m \ge 3 $ $m \geq 3$ ) senders.