440 research outputs found
Entanglement monogamy and entanglement evolution in multipartite systems
We analyze the entanglement distribution and the two-qubit residual entanglement in multipartite systems. For a composite system consisting of two cavities interacting with independent reservoirs, it is revealed that the entanglement evolution is restricted by an entanglement monogamy relation derived here. Moreover, it is found that the initial cavity-cavity entanglement evolves completely to the genuine four-partite cavities-reservoirs entanglement in the time interval between the sudden death of cavity-cavity entanglement and the birth of reservoir-reservoir entanglement. In addition, we also address the relationship between the genuine block-block entanglement form and qubit-block form in the interval. © 2009 The American Physical Society.published_or_final_versio
Exploring multipartite quantum correlations with the square of quantum discord
We explore the quantum correlation distribution in multipartite quantum
states based on the square of quantum discord (SQD). For tripartite quantum
systems, we derive the necessary and sufficient condition for the SQD to
satisfy the monogamy relation. Particularly, we prove that the SQD is
monogamous for three-qubit pure states, based on which a genuine tripartite
quantum correlation measure is introduced. In addition, we also address the
quantum correlation distributions in four-qubit pure states. As an example, we
investigate multipartite quantum correlations in the dynamical evolution of
multipartite cavity-reservoir systems.Comment: 8 pages, 5 figure
Monogamy of quantum correlations reveals frustration in a quantum Ising spin system: Experimental demonstration
We report a nuclear magnetic resonance experiment, which simulates the
quantum transverse Ising spin system in a triangular configuration and further
show that the monogamy of quantum correlations can be used to distinguish
between the frustrated and non-frustrated regimes in the ground state of this
system. Adiabatic state preparation methods are used to prepare the ground
states of the spin system. We employ two different multipartite quantum
correlation measures to analyze the experimental ground state of the system in
both the frustrated and non-frustrated regimes. In particular, we use
multipartite quantum correlation measures generated by monogamy considerations
of negativity, a bipartite entanglement measure, and that of quantum discord,
an information-theoretic quantum correlation measure. As expected from
theoretical predictions, the experimental data confirm that the non-frustrated
regime shows higher multipartite quantum correlations compared to the
frustrated one.Comment: Title in the published version is "Multipartite quantum correlations
reveal frustration in a quantum Ising spin system", 7 pages, 4 figure
Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
We present a complete analysis of multipartite entanglement of three-mode
Gaussian states of continuous variable systems. We derive standard forms which
characterize the covariance matrix of pure and mixed three-mode Gaussian states
up to local unitary operations, showing that the local entropies of pure
Gaussian states are bound to fulfill a relationship which is stricter than the
general Araki-Lieb inequality. Quantum correlations will be quantified by a
proper convex roof extension of the squared logarithmic negativity (the
contangle), satisfying a monogamy relation for multimode Gaussian states, whose
proof will be reviewed and elucidated. The residual contangle, emerging from
the monogamy inequality, is an entanglement monotone under Gaussian local
operations and classical communication and defines a measure of genuine
tripartite entanglement. We analytically determine the residual contangle for
arbitrary pure three-mode Gaussian states and study the distribution of quantum
correlations for such states. This will lead us to show that pure, symmetric
states allow for a promiscuous entanglement sharing, having both maximum
tripartite residual entanglement and maximum couplewise entanglement between
any pair of modes. We thus name these states GHZ/ states of continuous
variable systems because they are simultaneous continuous-variable counterparts
of both the GHZ and the states of three qubits. We finally consider the
action of decoherence on tripartite entangled Gaussian states, studying the
decay of the residual contangle. The GHZ/ states are shown to be maximally
robust under both losses and thermal noise.Comment: 20 pages, 5 figures. (v2) References updated, published versio
Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
We explore two different geometric quantum discords defined respectively via
the trace norm (GQD-1) and Hilbert-Schmidt norm (GQD-2) in multipartite
systems. A rigorous hierarchy relation is revealed for the two GQDs in a class
of symmetric two-qubit -shape states. For multiqubit pure states, it is
found that both GQDs are related to the entanglement concurrence, with the
hierarchy relation being saturated. Furthermore, we look into a four-partite
dynamical system consisting of two cavities interacting with independent
reservoirs. It is found that the GQD-2 can exhibit various sudden change
behaviours, while the GQD-1 only evolves asymptotically, with the two GQDs
exhibiting different monogamous properties.Comment: 5 pages, 3 figure
Finer Distribution of Quantum Correlations among Multiqubit Systems
We study the distribution of quantum correlations characterized by monogamy
relations in multipartite systems. By using the Hamming weight of the binary
vectors associated with the subsystems, we establish a class of monogamy
inequalities for multiqubit entanglement based on the th () power of concurrence, and a class of polygamy inequalities for multiqubit
entanglement in terms of the th () power of
concurrence and concurrence of assistance. Moveover, we give the monogamy and
polygamy inequalities for general quantum correlations. Application of these
results to quantum correlations like squared convex-roof extended negativity
(SCREN), entanglement of formation and Tsallis- entanglement gives rise to
either tighter inequalities than the existing ones for some classes of quantum
states or less restrictions on the quantum states. Detailed examples are
presented
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