Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir
We investigate the dynamical evolution of genuine multipartite correlations for N-qubits in a common reservoir considering a non-dissipative qubits-reservoir model. We derive an exact expression for the time-evolved density matrix by modeling the reservoir as a set of infinite harmonic oscillators w...
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MDPI AG
2022-01-01
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| Series: | Quantum Reports |
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| Online Access: | https://www.mdpi.com/2624-960X/4/1/3 |
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| author | Abhinash Kumar Roy Sourabh Magare Varun Srivastava Prasanta K. Panigrahi |
| author_facet | Abhinash Kumar Roy Sourabh Magare Varun Srivastava Prasanta K. Panigrahi |
| author_sort | Abhinash Kumar Roy |
| collection | DOAJ |
| description | We investigate the dynamical evolution of genuine multipartite correlations for N-qubits in a common reservoir considering a non-dissipative qubits-reservoir model. We derive an exact expression for the time-evolved density matrix by modeling the reservoir as a set of infinite harmonic oscillators with a bilinear form of interaction Hamiltonian. Interestingly, we find that the choice of two-level systems corresponding to an initially correlated multipartite state plays a significant role in potential robustness against environmental decoherence. In particular, the generalized W-class Werner state shows robustness against the decoherence for an equivalent set of qubits, whereas a certain generalized GHZ-class Werner state shows robustness for inequivalent sets of qubits. It is shown that the genuine multipartite concurrence (GMC), a measure of multipartite entanglement of an initially correlated multipartite state, experiences an irreversible decay of correlations in the presence of a thermal reservoir. For the GHZ-class Werner state, the region of mixing parameters for which there exists GMC, shrinks with time and with increase in the temperature of the thermal reservoir. Furthermore, we study the dynamical evolution of the relative entropy of coherence and von-Neumann entropy for the W-class Werner state. |
| first_indexed | 2024-03-09T12:48:42Z |
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| id | doaj.art-166bfd5b2a264b67a653be13f3f68a3a |
| institution | Directory Open Access Journal |
| issn | 2624-960X |
| language | English |
| last_indexed | 2024-03-09T12:48:42Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Quantum Reports |
| spelling | doaj.art-166bfd5b2a264b67a653be13f3f68a3a2023-11-30T22:08:35ZengMDPI AGQuantum Reports2624-960X2022-01-0141223510.3390/quantum4010003Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal ReservoirAbhinash Kumar Roy0Sourabh Magare1Varun Srivastava2Prasanta K. Panigrahi3Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, IndiaInter University Centre for Astronomy and Astrophysics, Pune 411007, IndiaIndian Institute of Science Education and Research Kolkata, Mohanpur 741246, IndiaIndian Institute of Science Education and Research Kolkata, Mohanpur 741246, IndiaWe investigate the dynamical evolution of genuine multipartite correlations for N-qubits in a common reservoir considering a non-dissipative qubits-reservoir model. We derive an exact expression for the time-evolved density matrix by modeling the reservoir as a set of infinite harmonic oscillators with a bilinear form of interaction Hamiltonian. Interestingly, we find that the choice of two-level systems corresponding to an initially correlated multipartite state plays a significant role in potential robustness against environmental decoherence. In particular, the generalized W-class Werner state shows robustness against the decoherence for an equivalent set of qubits, whereas a certain generalized GHZ-class Werner state shows robustness for inequivalent sets of qubits. It is shown that the genuine multipartite concurrence (GMC), a measure of multipartite entanglement of an initially correlated multipartite state, experiences an irreversible decay of correlations in the presence of a thermal reservoir. For the GHZ-class Werner state, the region of mixing parameters for which there exists GMC, shrinks with time and with increase in the temperature of the thermal reservoir. Furthermore, we study the dynamical evolution of the relative entropy of coherence and von-Neumann entropy for the W-class Werner state.https://www.mdpi.com/2624-960X/4/1/3multipartite correlationsthermal reservoirsWerner type states |
| spellingShingle | Abhinash Kumar Roy Sourabh Magare Varun Srivastava Prasanta K. Panigrahi Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir Quantum Reports multipartite correlations thermal reservoirs Werner type states |
| title | Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir |
| title_full | Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir |
| title_fullStr | Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir |
| title_full_unstemmed | Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir |
| title_short | Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir |
| title_sort | exact time evolution of genuine multipartite correlations for n qubit systems in a common thermal reservoir |
| topic | multipartite correlations thermal reservoirs Werner type states |
| url | https://www.mdpi.com/2624-960X/4/1/3 |
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