Distribution of entanglement in multipartite systems

Khan, Awais; Farooq, Ahmad; Jeong, Youngmin; Shin, Hyundong

doi:10.1007/s11128-019-2178-9

“…Thus, the more a q-bit is entangled with another q-bit, the less it can be entangled with a third one. This indicates that there is a limitation in the distribution of entanglement [16]. This unique property, known as entanglement monogamy, has received a lot of attention by researchers [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Monogamy and trade-off relations for correlated quantum coherence

Basso,

Maziero

2020

Preprint

0

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One of the fundamental differences between classical and quantum mechanics is in the ways correlations can be distributed among the many parties that compose a system. While classical correlations can be shared among many subsystems, in general quantum correlations cannot be freely shared. This unique property is known as monogamy of quantum correlations. In this work, we study the monogamy properties of the correlated coherence for the l1-norm and relative entropy measures of coherence. For the l1-norm the correlated coherence is monogamous for a particular class of quantum states. For the relative entropy of coherence, and using maximally mixed state as the reference incoherent state, we show that the correlated coherence is monogamous for tripartite pure quantum systems.

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“…This monogamy relation was then generalized to N -qubit systems 6 . Later on, monogamy relations for various entanglement measures have been proved, e.g., concurrence 4,7–9 , entanglement of formation 6,10,11 , negativity 9,12–15 , Tsallis- q entanglement 16–18 , and Rényi- q entanglement 19,20 . The dual of monogamy (polygamy) relation via the concurrence of assistance was proposed to quantify the limitation of distributing bipartite entanglement in multipartite systems 21,22 .…”

Section: Introductionmentioning

confidence: 99%

“…The dual of monogamy (polygamy) relation via the concurrence of assistance was proposed to quantify the limitation of distributing bipartite entanglement in multipartite systems 21,22 . Polygamy relations were established using various entanglement measures, e.g., convex-roof extended negativity 13 , and Tsallis- q entanglement 9,16 .…”

Section: Introductionmentioning

confidence: 99%

Unified Monogamy Relations of Multipartite Entanglement

Khan

¹

,

Rehman

²

,

Wang

³

et al. 2019

Sci Rep

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Unified-(q, s) entanglement is a generalized bipartite entanglement measure, which encompasses Tsallis-q entanglement, Rényi-q entanglement, and entanglement of formation as its special cases. We first provide the extended (q; s) region of the generalized analytic formula of . Then, the monogamy relation based on the squared for arbitrary multiqubit mixed states is proved. The monogamy relation proved in this paper enables us to construct an entanglement indicator that can be utilized to identify all genuine multiqubit entangled states even the cases where three tangle of concurrence loses its efficiency. It is shown that this monogamy relation also holds true for the generalized W-class state. The αth power based general monogamy and polygamy inequalities are established for tripartite qubit states.

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“…One can see that for x=1 the subsystems A and B are perfectly correlated and A and C are uncorrelated, whereas for x=0 the parties A and C are perfectly correlated but A and B are uncorrelated. This indicates that there is a limitation in the distribution of entanglement [20]. This unique property, known as entanglement monogamy, has received a lot of attention by researchers [21][22][23][24][25].…”

mentioning

confidence: 99%

Monogamy and trade-off relations for correlated quantum coherence

Basso¹,

Maziero²

2020

View full text Add to dashboard Cite

One of the fundamental differences between classical and quantum mechanics is in the ways correlations can be distributed among the many parties that compose a system. While classical correlations can be shared among many subsystems, in general quantum correlations cannot be freely shared. This unique property is known as monogamy of quantum correlations. In this work, we study the monogamy properties of the correlated coherence for the l1-norm and relative entropy measures of coherence. For the l1-norm the correlated coherence is monogamous for a particular class of quantum states. For the relative entropy of coherence, and using maximally mixed state as the reference incoherent state, we show that the correlated coherence is monogamous for tripartite pure quantum systems.

show abstract

Distribution of entanglement in multipartite systems

Cited by 8 publications

References 29 publications

Monogamy and trade-off relations for correlated quantum coherence

Monogamy and trade-off relations for correlated quantum coherence

Unified Monogamy Relations of Multipartite Entanglement

Monogamy and trade-off relations for correlated quantum coherence

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