Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy
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arXiv
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| Format: | Preprint |
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2024
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| author | Reji, Harsha Miriam Hegde, Hemant Shreepad Prabhu, R. |
| author_facet | Reji, Harsha Miriam Hegde, Hemant Shreepad Prabhu, R. |
| contents | We study the separability in multiqubit pure and mixed Greenberger-Horne-Zeilinger (GHZ) and W states with an accelerating qubit using the Abe-Rajagopal (AR) $ q $-conditional entropy. We observe that the pure multiqubit GHZ and W states in the inertial : non-inertial bipartition with one of their qubits accelerated will remain non-separable irrespective of the qubit's acceleration. In these systems, we captured the variation of their non-separability with respect to the acceleration of the qubit and the AR $ q $-conditional entropy parameter $ q $. However, in the corresponding multiqubit mixed states obtained by introducing a global noise to the above pure states, one could get stronger conditions on their separability in the inertial : non-inertial bipartition, in terms of the acceleration of the qubit, noise parameter, and the number of qubits in the system, in the asymptotic limit of parameter $ q $. These conditions obtained from the AR $ q $-conditional entropy serve as necessary conditions for separability in such multiqubit states with a relativistic qubit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy Reji, Harsha Miriam Hegde, Hemant Shreepad Prabhu, R. Quantum Physics General Relativity and Quantum Cosmology We study the separability in multiqubit pure and mixed Greenberger-Horne-Zeilinger (GHZ) and W states with an accelerating qubit using the Abe-Rajagopal (AR) $ q $-conditional entropy. We observe that the pure multiqubit GHZ and W states in the inertial : non-inertial bipartition with one of their qubits accelerated will remain non-separable irrespective of the qubit's acceleration. In these systems, we captured the variation of their non-separability with respect to the acceleration of the qubit and the AR $ q $-conditional entropy parameter $ q $. However, in the corresponding multiqubit mixed states obtained by introducing a global noise to the above pure states, one could get stronger conditions on their separability in the inertial : non-inertial bipartition, in terms of the acceleration of the qubit, noise parameter, and the number of qubits in the system, in the asymptotic limit of parameter $ q $. These conditions obtained from the AR $ q $-conditional entropy serve as necessary conditions for separability in such multiqubit states with a relativistic qubit. |
| title | Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy |
| topic | Quantum Physics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.02716 |