Entanglement of formation and monogamy of multi-party quantum entanglement
arXiv:2101.05590 · doi:10.1038/s41598-021-82052-3
Abstract
We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical-classical-quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a three-party quantum state, we show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. After illustrating the result with some examples, we generalize our result of three-party systems into any multi-party systems of arbitrary dimensions.
arXiv comment18 pages, no figure, to appear in Scientific Reports
References in corpus (14)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Three qubits can be entangled in two inequivalent ways
- Distributed Entanglement
- Classical, quantum and total correlations
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Monogamy of entanglement and other correlations
- Is Entanglement Monogamous?
- Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
- Tsallis entropy and entanglement constraints in multi-qubit systems
- Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
- Unified entropy, entanglement measures and monogamy of multi-party entanglement
- Limitations to sharing entanglement