Deterministic remote state preparation with weight graph states in quantum networks

Zongyi Li; Yuzhen Wei; Yongcheng Li; Min Jiang; Min Jiang

doi:10.1364/JOSAB.511462

Journal of the Optical Society of America B
Vol. 41,
Issue 2,
pp. 400-410
(2024)
•https://doi.org/10.1364/JOSAB.511462

Deterministic remote state preparation with weight graph states in quantum networks

Zongyi Li, Yuzhen Wei, Yongcheng Li, and Min Jiang

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Zongyi Li, Yuzhen Wei, Yongcheng Li, and Min Jiang, "Deterministic remote state preparation with weight graph states in quantum networks," J. Opt. Soc. Am. B 41, 400-410 (2024)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Check for updates

Related Topics
Table of Contents Category
- Quantum Optics
Optics & Photonics Topics
?

The topics in this list come from the Optics and Photonics Topics applied to this article.

About this Article
History
- Original Manuscript: November 14, 2023
- Revised Manuscript: December 14, 2023
- Manuscript Accepted: December 14, 2023
- Published: January 17, 2024

Abstract

The weight graph states (WGS) usually serve as the imperfect generation of the graph states due to the limitation in experiments. In this paper, we study the deterministic remote state preparation (RSP) protocol by leveraging multiple WGS. First, we introduce the quantum circuit of the entanglement concentration based on the theory of majorization, calculating the entanglement coefficients by applying the Schmidt decomposition onto the bipartite WGS. Then, we establish the positive operator-valued measurement (POVM) that helps to extract available entanglement for the RSP protocol. In three-particle 1D WGS, we demonstrate that the bipartite entanglement between the sender and the receiver depends on the measurement basis selected by the repeater node. Here we find a set of orthogonal bases that retains the entanglement unchanged, which guarantees the robustness of the RSP scheme. In the end, we discuss the performance of our protocol and extend the channel to the multi-particle 1D WGS, illustrating the relationship between the entanglements and the different weights of edges. Our scheme provides a viable method to reuse the imperfect graph states, hoping to contribute to the future study of graph states in quantum networks.

Full Article | PDF Article

More Like This

Multihop fault-tolerant joint remote state preparation of an arbitrary single-qubit state

Renzhi Gong and Min Jiang
J. Opt. Soc. Am. B 39(11) 3066-3073 (2022)

Remote implementation of quantum operations in quantum multihop networks

Fan Wu, Liang Tang, Ming-Qiang Bai, and Zhi-Wen Mo
J. Opt. Soc. Am. B 39(10) 2813-2822 (2022)

Teleportation of entanglement using a three-particle entangled W state

Xiaoqin Gao, Zaichen Zhang, Yanxiao Gong, Bin Sheng, and Xutao Yu
J. Opt. Soc. Am. B 34(1) 142-147 (2017)

Previous Article Next Article

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (33)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Sender			Receiver
$a_{1} a_{2} (m_{1} m_{2})$	$A_{1} (m_{4})$	$A_{2} (m_{5})$	$B_{2} (m_{7})$	$B_{1}$
$\| 10 ⟩$	$\| λ_{0} ⟩$	${\| \pm_{- φ} ⟩}$	${U_{ξ^{'}} \| \pm ⟩}$	$α \| ξ_{0} ⟩_{B_{1}} + (- 1)^{m_{5} \oplus m_{7}} β \exp (i φ) \| ξ_{1} ⟩_{B_{1}}$
$\| 10 ⟩$	$\| λ_{1} ⟩$	${\| \pm_{φ} ⟩}$	${U_{ξ^{'}} \| \pm ⟩}$	$β \| ξ_{0} ⟩_{B_{1}} + (- 1)^{m_{5} \oplus m_{7} \oplus 1} α \exp (- i φ) \| ξ_{1} ⟩_{B_{1}}$
$\| 11 ⟩$	$\| λ_{0} ⟩$	${\| \pm_{φ} ⟩}$	${U_{ξ^{'}} \| \pm ⟩}$	$α \exp (- i φ) \| ξ_{0} ⟩_{B_{1}} + (- 1)^{m_{5} \oplus m_{7}} β \| ξ_{1} ⟩_{B_{1}}$
$\| 11 ⟩$	$\| λ_{1} ⟩$	${\| \pm_{- φ} ⟩}$	${U_{ξ^{'}} \| \pm ⟩}$	$β \exp (- i φ) \| ξ_{0} ⟩_{B_{1}} + (- 1)^{m_{5} \oplus m_{7} \oplus 1} α \| ξ_{1} ⟩_{B_{1}}$

Sender				Receiver
$a_{1} a_{2} (m_{1} m_{2})$	$a_{3} (m_{3})$	$A_{1} (m_{4})$	$A_{2} (m_{5})$	$B_{1}$	$B_{2} (m_{7})$
$\| 00 ⟩$	$\| 0 ⟩$	/	${\| \pm_{- φ} ⟩}$	/	$Z^{m_{5} \oplus 1} U_{ξ^{'}}^{†}$
$\| 00 ⟩$	$\| 1 ⟩$	/	${\| \pm_{φ} ⟩}$	/	$Z^{m_{5} \oplus 1} X U_{ξ^{'}}^{†}$
$\| 01 ⟩$	$\| 0 ⟩$	${\| \pm_{- φ} ⟩}$	/	$Z^{m_{4} \oplus 1} U_{ξ}^{†}$	/
$\| 01 ⟩$	$\| 1 ⟩$	${\| \pm_{φ} ⟩}$	/	$Z^{m_{4} \oplus 1} X U_{ξ}^{†}$	/
$\| 10 ⟩$	/	${\| λ_{j} ⟩}$	${\| \pm_{{(- 1)}^{m_{4} \oplus 1} φ} ⟩}$	$Z^{m_{4} \oplus m_{5} \oplus m_{7}} X^{m_{4}} U_{ξ}^{†}$	${U_{ξ^{'}} \| \pm ⟩}$
$\| 11 ⟩$	/	${\| λ_{j} ⟩}$	${\| \pm_{{(- 1)}^{m_{4}} φ} ⟩}$	$Z^{m_{4} \oplus m_{5} \oplus m_{7}} X^{m_{4}} U_{ξ}^{†}$	${U_{ξ^{'}} \| \pm ⟩}$

Sender			Receiver
$a_{1} a_{2} (m_{1} m_{2})$	$A_{1} (m_{4})$	$A_{2} (m_{5})$	$B_{2} (m_{7})$	$B_{1}$
$\| 10 ⟩$	$\| λ_{0} ⟩$	${\| \pm_{- φ} ⟩}$	${U_{ξ^{'}} \| \pm ⟩}$	$α \| ξ_{0} ⟩_{B_{1}} + (- 1)^{m_{5} \oplus m_{7}} β \exp (i φ) \| ξ_{1} ⟩_{B_{1}}$
$\| 10 ⟩$	$\| λ_{1} ⟩$	${\| \pm_{φ} ⟩}$	${U_{ξ^{'}} \| \pm ⟩}$	$β \| ξ_{0} ⟩_{B_{1}} + (- 1)^{m_{5} \oplus m_{7} \oplus 1} α \exp (- i φ) \| ξ_{1} ⟩_{B_{1}}$
$\| 11 ⟩$	$\| λ_{0} ⟩$	${\| \pm_{φ} ⟩}$	${U_{ξ^{'}} \| \pm ⟩}$	$α \exp (- i φ) \| ξ_{0} ⟩_{B_{1}} + (- 1)^{m_{5} \oplus m_{7}} β \| ξ_{1} ⟩_{B_{1}}$
$\| 11 ⟩$	$\| λ_{1} ⟩$	${\| \pm_{- φ} ⟩}$	${U_{ξ^{'}} \| \pm ⟩}$	$β \exp (- i φ) \| ξ_{0} ⟩_{B_{1}} + (- 1)^{m_{5} \oplus m_{7} \oplus 1} α \| ξ_{1} ⟩_{B_{1}}$

Sender				Receiver
$a_{1} a_{2} (m_{1} m_{2})$	$a_{3} (m_{3})$	$A_{1} (m_{4})$	$A_{2} (m_{5})$	$B_{1}$	$B_{2} (m_{7})$
$\| 00 ⟩$	$\| 0 ⟩$	/	${\| \pm_{- φ} ⟩}$	/	$Z^{m_{5} \oplus 1} U_{ξ^{'}}^{†}$
$\| 00 ⟩$	$\| 1 ⟩$	/	${\| \pm_{φ} ⟩}$	/	$Z^{m_{5} \oplus 1} X U_{ξ^{'}}^{†}$
$\| 01 ⟩$	$\| 0 ⟩$	${\| \pm_{- φ} ⟩}$	/	$Z^{m_{4} \oplus 1} U_{ξ}^{†}$	/
$\| 01 ⟩$	$\| 1 ⟩$	${\| \pm_{φ} ⟩}$	/	$Z^{m_{4} \oplus 1} X U_{ξ}^{†}$	/
$\| 10 ⟩$	/	${\| λ_{j} ⟩}$	${\| \pm_{{(- 1)}^{m_{4} \oplus 1} φ} ⟩}$	$Z^{m_{4} \oplus m_{5} \oplus m_{7}} X^{m_{4}} U_{ξ}^{†}$	${U_{ξ^{'}} \| \pm ⟩}$
$\| 11 ⟩$	/	${\| λ_{j} ⟩}$	${\| \pm_{{(- 1)}^{m_{4}} φ} ⟩}$	$Z^{m_{4} \oplus m_{5} \oplus m_{7}} X^{m_{4}} U_{ξ}^{†}$	${U_{ξ^{'}} \| \pm ⟩}$

Abstract

Data availability

Cited By

Figures (9)

Tables (2)

Equations (33)

Journal of the Optical Society of America B