Monogamy of entanglement of maximal dimension
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866908572113174528 |
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| author | Nandi, Sumit |
| author_facet | Nandi, Sumit |
| contents | In the present paper, a trade off of sharing of entanglement between subsystems of a higher dimensional quantum state is derived. It is presented in terms of an inequality which is analogous to the Coffman-Kundu-Wootters inequality that succinctly describes monogamy of entanglement in $\mathcal{C}^2\otimes \mathcal{C}^2\otimes \mathcal{C}^2$ dimensional pure state. To derive the monogamy inequality in $\mathcal{C}^d\otimes \mathcal{C}^d\otimes \mathcal{C}^d$ dimension, G-concurrence measure of entanglement is considered as a measure of entanglement of maximal dimension. The approach of the present paper incidentally points towards a rigorous framework which enables us to obtain an upper bound of G-concurrence of a bipartite qudit mixed state. Obtained upper bound of G-concurrence is then shown to satisfy a monogamy relation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2204_13649 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Monogamy of entanglement of maximal dimension Nandi, Sumit Quantum Physics In the present paper, a trade off of sharing of entanglement between subsystems of a higher dimensional quantum state is derived. It is presented in terms of an inequality which is analogous to the Coffman-Kundu-Wootters inequality that succinctly describes monogamy of entanglement in $\mathcal{C}^2\otimes \mathcal{C}^2\otimes \mathcal{C}^2$ dimensional pure state. To derive the monogamy inequality in $\mathcal{C}^d\otimes \mathcal{C}^d\otimes \mathcal{C}^d$ dimension, G-concurrence measure of entanglement is considered as a measure of entanglement of maximal dimension. The approach of the present paper incidentally points towards a rigorous framework which enables us to obtain an upper bound of G-concurrence of a bipartite qudit mixed state. Obtained upper bound of G-concurrence is then shown to satisfy a monogamy relation. |
| title | Monogamy of entanglement of maximal dimension |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2204.13649 |