Entanglement and nonlocality versus spontaneous emission in two-atom systems

Jakóbczyk, Lech; Jamróz, Anna

doi:10.1016/j.physleta.2003.09.044

Cited by 44 publications

(48 citation statements)

References 23 publications

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“…Note that many other comparative studies of the concurrence and CHSH violation were limited to some specific classes of two-qubit states usually in a dynamical context [18][19][20][21][22][23][24][25][26].…”

Section: Arxiv:13066504v2 [Quant-ph] 19 Nov 2013mentioning

confidence: 99%

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Entanglement estimation from Bell inequality violation

et al. 2013

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It is well known that the violation of Bell's inequality in the form given by Clauser, Horne, Shimony, and Holt (CHSH) in two-qubit systems requires entanglement, but not vice versa, i.e., there are entangled states which do not violate the CHSH inequality. Here we compare some standard entanglement measures with violations of the CHSH inequality (as given by the Horodecki measure) for two-qubit states generated by Monte Carlo simulations. We describe states that have extremal entanglement according to the negativity, concurrence, and relative entropy of entanglement for a given value of the CHSH violation. We explicitly find these extremal states by applying the generalized method of Lagrange multipliers based on the Karush-Kuhn-Tucker conditions. The found minimal and maximal states define the range of entanglement accessible for any two-qubit states that violate the CHSH inequality by the same amount. We also find extremal states for the concurrence versus negativity by considering only such states which do not violate the CHSH inequality. Furthermore, we describe an experimentally efficient linear-optical method to determine the highest Horodecki degree of the CHSH violation for arbitrary mixed states of two polarization qubits. By assuming to have access simultaneously to two copies of the states, our method requires only six discrete measurement settings instead of nine settings, which are usually considered.

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Section: Arxiv:13066504v2 [Quant-ph] 19 Nov 2013mentioning

confidence: 99%

“…(18). These parameters are the same as those resulting in the maximum REE for a fixed B as given by Eq.…”

Section: Extremality Conditions For Negativity For a Given Chsh Violamentioning

confidence: 99%

Entanglement estimation from Bell inequality violation

et al. 2013

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“…This has important consequences for the dynamical behavior of the system. A common environment may entangle initially separable systems, even in the absence of direct interaction [37][38][39][40][41][42][43][44][45][46][47]. This can be easily understood from the fact that the product state |0 |⊗|1 may be expressed as a sum of a singlet and a triplet component:…”

Section: Introductionmentioning

confidence: 99%

Quantum correlations as precursors of entanglement

Auyuanet

2010

Phys. Rev. A

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We show that for two initially excited qubits, interacting via dipole forces and with a common reservoir, entanglement is preceded by the emergence of quantum and classical correlations. After a time lag, entanglement finally starts building up, giving rise to a peculiar entangled state, with very small classical correlations. Different measures of quantum correlations are discussed, and their dynamics are compared and shown to lead to coincident values of these quantifiers for several ranges of time.

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“…In spite of the states (lower or upper), the classicality condition (10) is satisfied by Eqs. (20) and (21). A quantum constraint should to violates condition (10), such as for example taking both projectors as P = |x ± x ± | , where |x ± = (1/ √ 2)(|+ ± |− ) are the eigenstates of the x-Pauli matrix.…”

Section: A Classical Constraintsmentioning

confidence: 99%

Bipartite entanglement induced by classically-constrained quantum dissipative dynamics

Budini¹

2013

Physica A: Statistical Mechanics and its Applications

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The properties of some complex many body systems can be modeled by introducing in the dissipative dynamics of each single component a set of kinetic constraints that depend on the state of the neighbor systems. Here, we characterize this kind of dynamics for two quantum systems whose independent dissipative evolutions are defined by a Lindblad equation. The constraints are introduced through a set of projectors that restrict the action of each single dissipative Lindblad channel to the state of the other system. Conditions that guaranty a classical interpretation of the kinetic constraints are found. The generation and evolution of entanglement is studied for two optical qubits systems. Classically constrained dissipation leads to a stationary state whose degree of entanglement depends on the initial state. Nevertheless, independently of the initial conditions, a maximal entangled state is generated when both systems are subjected to the action of local Hamiltonian fields that do not commutate with the constraints. The underlying physical mechanism is analyzed in detail.

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Entanglement and nonlocality versus spontaneous emission in two-atom systems

Cited by 44 publications

References 23 publications

Entanglement estimation from Bell inequality violation

Entanglement estimation from Bell inequality violation

Quantum correlations as precursors of entanglement

Bipartite entanglement induced by classically-constrained quantum dissipative dynamics

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