Quantum entanglement percolation under a realistic restriction
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866911758640218112 |
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| author | Khanna, Shashaank Halder, Saronath Sen, Ujjwal |
| author_facet | Khanna, Shashaank Halder, Saronath Sen, Ujjwal |
| contents | The problem of establishing Bell and Greenberger-Horne-Zeilinger states between faraway places or distant nodes of a circuit is a difficult and an extremely important one, and a strategy which addresses it is entanglement percolation. We provide a method for attaining the end through a quantum measurement strategy involving three-, two-, and single-qubit measurements on a single-layer honeycomb lattice of partially entangled pure bipartite entangled states. We then move over to a double-layered lattice, and introduce entanglement percolation on that lattice under a realistic restriction on local quantum operations and classical communication allowed on the nodes of the lattice. When applied to a single-layered honeycomb lattice, our strategy would call for less noise effects in an actual realization than when the same phenomenon is attained via existing methods. Moreover, for the double-layered honeycomb lattice, we report advantage of quantum entanglement percolation over classical entanglement percolation under the realistic restriction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_09040 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Quantum entanglement percolation under a realistic restriction Khanna, Shashaank Halder, Saronath Sen, Ujjwal Quantum Physics Statistical Mechanics The problem of establishing Bell and Greenberger-Horne-Zeilinger states between faraway places or distant nodes of a circuit is a difficult and an extremely important one, and a strategy which addresses it is entanglement percolation. We provide a method for attaining the end through a quantum measurement strategy involving three-, two-, and single-qubit measurements on a single-layer honeycomb lattice of partially entangled pure bipartite entangled states. We then move over to a double-layered lattice, and introduce entanglement percolation on that lattice under a realistic restriction on local quantum operations and classical communication allowed on the nodes of the lattice. When applied to a single-layered honeycomb lattice, our strategy would call for less noise effects in an actual realization than when the same phenomenon is attained via existing methods. Moreover, for the double-layered honeycomb lattice, we report advantage of quantum entanglement percolation over classical entanglement percolation under the realistic restriction. |
| title | Quantum entanglement percolation under a realistic restriction |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2008.09040 |