Monogamy of quantum correlations in three-qubit pure states

Sudha,; Devi, A. R. Usha; Rajagopal, A. K.

doi:10.1103/physreva.85.012103

Cited by 41 publications

(50 citation statements)

References 35 publications

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“…Interestingly, they find evidence that GreenbergerHorneZeilinger (GHZ)-type states are monogamous while W-type states are polygamous. (Sudha et al, 2012) give a similar result for monogamy of MID. (Giorgi, 2011) shows that entanglement monogamy and discord monogamy are the same for pure states.…”

Section: Monogamy Of Discordsupporting

confidence: 62%

The classical-quantum boundary for correlations: Discord and related measures

et al. 2012

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One of the best signatures of nonclassicality in a quantum system is the existence of correlations that have no classical counterpart. Different methods for quantifying the quantum and classical parts of correlations are amongst the more actively-studied topics of quantum information theory over the past decade. Entanglement is the most prominent of these correlations, but in many cases unentangled states exhibit nonclassical behavior too. Thus distinguishing quantum correlations other than entanglement provides a better division between the quantum and classical worlds, especially when considering mixed states. Here we review different notions of classical and quantum correlations quantified by quantum discord and other related measures. In the first half, we review the mathematical properties of the measures of quantum correlations, relate them to each other, and discuss the classical-quantum division that is common among them. In the second half, we show that the measures identify and quantify the deviation from classicality in various quantuminformation-processing tasks, quantum thermodynamics, open-system dynamics, and many-body physics. We show that in many cases quantum correlations indicate an advantage of quantum methods over classical ones.

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Section: Monogamy Of Discordsupporting

confidence: 62%

The classical-quantum boundary for correlations: Discord and related measures

et al. 2012

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“…The monogamy of quantum correlations in the case of three-qubit pure symmetric states, in the Majorana represen-tation [152], was addressed in [153], where the Rajagopal-Rendell quantum deficit (RRQD) [154,155] is used as the quantum correlation measure. For a bipartite quantum state ρ AB , RRQD is defined as the relative entropy distance [34,156] of the state ρ AB from ρ d AB = ij p ij |i i| ⊗ |j j|, which is diagonal in the eigenbasis of the marginals, ρ A , and ρ B , given by {|i } and {|j }, respectively.…”

Section: Monogamy Of Other Quantum Correlationsmentioning

confidence: 99%

Monogamy of Quantum Correlations - A Review

Dhar

Pal

Rakshit

et al. 2017

Quantum Science and Technology

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Monogamy is an intrinsic feature of quantum correlations that gives rise to several interesting quantum characteristics which are not amenable to classical explanations. The monogamy property imposes physical restrictions on unconditional sharability of quantum correlations between the different parts of a multipartite quantum system, and thus has a direct bearing on the cooperative properties of states of multiparty systems, including large many-body systems. On the contrary, a certain party can be maximally classical correlated with an arbitrary number of parties in a multiparty system. In recent years, the monogamy property of quantum correlations has been applied to understand several key aspects of quantum physics, including distribution of quantum resources, security in quantum communication, critical phenomena, and quantum biology. In this chapter, we look at some of the salient developments and applications in quantum physics that have been closely associated with the monogamy of quantum discord, and "discord-like" quantum correlation measures.

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“…Tripartite entanglement has been studied experimentally using optics [15][16][17] and NMR [18][19][20][21][22][23][24]. Recently, the entanglement properties of a permutation symmetric superposition of the W state and its obverseW = 1/ √ 3 (|100 + |101 + |110 ) have been characterized [25,26]:…”

Section: Introductionmentioning

confidence: 99%

“…[9]. If we assume another state to have the same two-party reduced density matrices as the WW state, this constraint can be used to prove that the new state is no different from the original WW state [25,26]. In this work we focus on the WW state.…”

Section: Introductionmentioning

confidence: 99%

Experimental construction of aWsuperposition state and its equivalence to the Greenberger-Horne-Zeilinger state under local filtration

et al. 2015

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We experimentally construct a novel three-qubit entangled W-superposition (WW) state on an NMR quantum information processor. We give a measurement-based filtration protocol for the invertible local operation (ILO) that converts the WW state to the GHZ state, using a register of three ancilla qubits. Further we implement an experimental protocol to reconstruct full information about the three-party WW state using only two-party reduced density matrices. An intriguing fact unearthed recently is that the WW state which is equivalent to the GHZ state under ILO, is in fact reconstructible from its two-party reduced density matrices, unlike the GHZ state. We hence demonstrate that although the WW state is interconvertible with the GHZ state, it stores entanglement very differently.

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Monogamy of quantum correlations in three-qubit pure states

Cited by 41 publications

References 35 publications

The classical-quantum boundary for correlations: Discord and related measures

The classical-quantum boundary for correlations: Discord and related measures

Monogamy of Quantum Correlations - A Review

Experimental construction of aWsuperposition state and its equivalence to the Greenberger-Horne-Zeilinger state under local filtration

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