Distribution and Purification of Entanglement States in Quantum Networks
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908279590879232 |
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| author | Fan, Xiaojie Yang, Yukun Gupta, Himanshu Ramakrishnan, C. R. |
| author_facet | Fan, Xiaojie Yang, Yukun Gupta, Himanshu Ramakrishnan, C. R. |
| contents | We consider problems of distributing high-fidelity entangled states across nodes of a quantum network. We consider a repeater-based network architecture with entanglement swapping (fusion) operations for generating long-distance entanglements, and purification operations that produce high-fidelity states from several lower-fidelity states. The contributions of this paper are two-fold: First, while there have been several works on fidelity-aware routing and incorporating purification into routing for generating EPs, this paper presents the first algorithms for optimal solutions to the high-fidelity EP distribution problem. We provide a dynamic programming algorithm for generating the optimal tree of operations to produce a high-fidelity EP, and an LP-based algorithm for generating an optimal collection of trees. Second, following the EP algorithms, this paper presents the first algorithms for the high-fidelity GHZ-state distribution problem and characterizes its optimality. We evaluate our techniques via simulations over NetSquid, a quantum network simulator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14712 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distribution and Purification of Entanglement States in Quantum Networks Fan, Xiaojie Yang, Yukun Gupta, Himanshu Ramakrishnan, C. R. Quantum Physics Networking and Internet Architecture We consider problems of distributing high-fidelity entangled states across nodes of a quantum network. We consider a repeater-based network architecture with entanglement swapping (fusion) operations for generating long-distance entanglements, and purification operations that produce high-fidelity states from several lower-fidelity states. The contributions of this paper are two-fold: First, while there have been several works on fidelity-aware routing and incorporating purification into routing for generating EPs, this paper presents the first algorithms for optimal solutions to the high-fidelity EP distribution problem. We provide a dynamic programming algorithm for generating the optimal tree of operations to produce a high-fidelity EP, and an LP-based algorithm for generating an optimal collection of trees. Second, following the EP algorithms, this paper presents the first algorithms for the high-fidelity GHZ-state distribution problem and characterizes its optimality. We evaluate our techniques via simulations over NetSquid, a quantum network simulator. |
| title | Distribution and Purification of Entanglement States in Quantum Networks |
| topic | Quantum Physics Networking and Internet Architecture |
| url | https://arxiv.org/abs/2503.14712 |