Measure of tripartite entanglement in bosonic and fermionic systems

Buscemi, Fabrizio; Bordone, Paolo

doi:10.1103/physreva.84.022303

Cited by 21 publications

(15 citation statements)

References 36 publications

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“…In Fig. 1, we compare different quantum statistics regarding their entanglement properties for the mixed state (42) in dependence on the dimensionality of the single particle's Hilbert space, d = dim H. We apply the test operator in (30). As long as L > sup{g} (gray area in Fig.…”

Section: Bipartite Examplementioning

confidence: 99%

Entanglement witnesses for indistinguishable particles

2015

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We study the problem of witnessing entanglement among indistinguishable particles. For this purpose, we derive a set of equations which results in necessary and sufficient conditions for probing multipartite entanglement between arbitrary systems of bosons or fermions. The solution of these equations yields the construction of optimal entanglement witnesses for partial and full entanglement in discrete and continuous variable systems. Our approach unifies the verification of entanglement for distinguishable and indistinguishable particles. We provide general solutions for certain observables to study quantum entanglement in systems with different quantum statistics in noisy environments.

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Section: Bipartite Examplementioning

confidence: 99%

Entanglement witnesses for indistinguishable particles

2015

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“…Note that the negativity is bound between zero, for separable states, and one, for maximally entangled states. The concept of negativity has recently been extended to the case of tripartite systems of identical particles [72].…”

Section: Entanglement and Quantum Discordmentioning

confidence: 99%

Dynamics of quantum correlations in colored-noise environments

et al. 2013

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We address the dynamics of entanglement and quantum discord for two noninteracting qubits initially prepared\ud in a maximally entangled state and then subjected to a classical colored noise, i.e., coupled with an external\ud environment characterized by a noise spectrum of the form 1/f α.More specifically, we address systems in which\ud the Gaussian approximation fails, i.e., mere knowledge of the spectrum is not enough to determine the dynamics\ud of quantum correlations. We thus investigate the dynamics for two different configurations of the environment:\ud in the first case, the noise spectrum is due to the interaction of each qubit with a single bistable fluctuator with\ud an undetermined switching rate, whereas in the second case we consider a collection of classical fluctuators with\ud fixed switching rates. In both cases, we found analytical expressions for the time dependence of entanglement\ud and quantum discord, which may also be extended to a collection of fluctuators with random switching rates.\ud The environmental noise is introduced by means of stochastic time-dependent terms in the Hamiltonian, and this\ud allows us to describe the effects of both separate and common environments. We show that the non-Gaussian\ud character of the noise may lead to significant effects, e.g., environments with the same power spectrum, but\ud different configurations give rise to the opposite behavior for quantum correlations. In particular, depending\ud on the characteristics of the environmental noise considered, both entanglement and discord display either a\ud monotonic decay or the phenomena of sudden death and revivals. Our results show that the microscopic structure\ud of the environment, in addition to its noise spectrum, is relevant for the dynamics of quantum correlations and\ud may be a valid starting point for the engineering of non-Gaussian colored environments

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“…For symmetrical tripartite quantum systems, N (3) reduces to the bipartite negativity of any bipartition of the system. Recently, N (3) has also been used to estimate the entanglement of tripartite bosonic and fermionic systems [35]. Even if the positivity of the tripartite negativity ensures that the state of the system under investigation is not separable and distillable to a GHZ state, N (3) cannot be used to classify and fully characterize the entanglement of general mixed tripartite states [34] Apart from pure states, null tripartite negativity could indeed not imply the absence of entanglement.…”

Section: B Tripartite Negativitymentioning

confidence: 99%

Time evolution of tripartite quantum discord and entanglement under local and nonlocal random telegraph noise

Buscemi

Bordone

2013

Phys. Rev. A

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Few studies explored the dynamics of nonclassical correlations besides entanglement in open multipartite\ud quantum systems. Here, we address the time evolution of quantum discord and entanglement in a model of\ud three noninteracting qubits subject to a classical random telegraph noise in common and separated environments.\ud Two initial entangled states of the system are examined, namely the GHZ- and W-type states. The dynamics\ud of quantum correlations results to be strongly affected by the input configuration of the qubits, the type of the\ud system-environment interaction, and the memory properties of the environmental noise. When the qubits are\ud nonlocally coupled to the random telegraph noise, the GHZ-type states partially preserve, at long times, both\ud discord and entanglement, regardless of the correlation time of the environmental noise. The survived entangled\ud states turn out to be also detectable by means of suitable entanglement witnesses. On the other hand, in the same\ud conditions, the decohering effects suppress all the quantum correlation of the W-type states which are thus less\ud robust than the GHZ-type ones. The long-time survival of tripartite discord and entanglement opens interesting\ud perspectives in the use of multipartite entangled states for practical applications in quantum information science

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Measure of tripartite entanglement in bosonic and fermionic systems

Cited by 21 publications

References 36 publications

Entanglement witnesses for indistinguishable particles

Entanglement witnesses for indistinguishable particles

Dynamics of quantum correlations in colored-noise environments

Time evolution of tripartite quantum discord and entanglement under local and nonlocal random telegraph noise

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