Bell’s inequalities for three-qubit entangled states with white noise

Chang, Jinho; Kwon, Younghun

doi:10.1016/j.chaos.2008.04.054

Cited by 3 publications

(3 citation statements)

References 9 publications

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“…In our description of the PBI monomers as qubits, we write their associated observables in terms of the Pauli matrices A i = cos θ i σ z + sin θ i σ x , and B i = cos φ i σ z + sin φ i σ x , i = 1, 2, 3. Other observables in terms of combinations with σ y can also be defined [43]. However, as the states explored in this section have a matrix structure with their anti-diagonal elements identically zero, observables in terms of σ x plus σ y do not exhibit any violation.…”

Section: B Pbi Trimer Nonlocal Statesmentioning

confidence: 99%

Conditional quantum dynamics and nonlocal states in dimeric and trimeric arrays of organic molecules

2018

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Arrays of covalently bound organic molecules possess potential for light-harvesting and energy transfer applications due to the strong coherent dipole-dipole coupling between the transition dipole moments of the molecules involved. Here, we show that such molecular systems, based on perylenemolecules, can be considered as arrays of qubits that are amenable for laser-driven quantum coherent control. The perylene monomers exhibit dephasing times longer than four orders of magnitude a typical gating time, thus allowing for the execution of a large number of gate operations on the sub-picosecond timescale. Specifically, we demonstrate quantum logic gates and entanglement in bipartite (dimer) and tripartite (trimer) systems of perylene-based arrays. In dimers, naturally entangled states with a tailored degree of entanglement can be produced. The nonlocality of the molecular trimer entanglement is demonstrated by testing Mermin's (Bell-like) inequality violation.

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Section: B Pbi Trimer Nonlocal Statesmentioning

confidence: 99%

Conditional quantum dynamics and nonlocal states in dimeric and trimeric arrays of organic molecules

2018

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“…One of the well-know Bell type expressions for tripartite systems is Mermin inequality, which can be expressed as [9]:…”

Section: A New Bell Expressionmentioning

confidence: 99%

“…shows that quantum theory is non-local. Here, the violation factor and amount of violation in Mermin inequality are both 2 and the maximum white noise tolerance calculated is 0.5 [9]. Now let's consider the following inequality for a tripartite system…”

Section: A New Bell Expressionmentioning

confidence: 99%

An Improved Tripartite Bell-type Inequality

Shirdel¹,

Movahhedian²

2011

Preprint

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So far, various Bell type inequalities have been introduced to test the local realism in tripartite systems. In this article we consider a tripartite system with two measurements in each side and two outputs for each measurement. Then we will introduce a new bell type inequality for this system and we show that this inequality is violated by quantum theory with a violation factor and amount of violation of 3.5 and 2.5 respectively, which exceed those of available inequalities in both cases. Also we will show that the white noise tolerance of this new Bell type expression is 0.5, which agrees with the maximum amount of white noise tolerance of available inequalities up to now.

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Understanding non-classical correlation using optical hybrid states in noisy quantum channels

Namkung¹,

Kwon²

2018

J. Phys. A: Math. Theor.

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In this article we investigate the non-classical correlation in a macroscopic physical system. As a tool, we consider an optical hybrid state that is a micromacro entangled state. Our strategy is to study the behavior of non-classical correlation in an optical hybrid state that may go through noisy channels. We study the violation of two inequalities, which are the CHSH-inequality and the (generalized) CHSH-like-inequality, as measures of non-classical correlation. First, we find that when on/off or parity measurements are used for the side of the coherent state in an optical hybrid state, the violation of the CHSHinequality is the same as that of the (generalized) CHSH-like-inequality. Second, we see that each measurement provides a different value of violation of (generalized) CHSH-inequality when it is an optical hybrid state that goes through noisy channels. A suprising result is that the on/off measurement can provide a violation of CHSH-inequality (or (generalized) CHSH-likeinequality) for an optical hybrid state with any amount of colored noise. This implies that colored noise cannot break the non-classical correlation in an optical hybrid state.

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Bell’s inequalities for three-qubit entangled states with white noise

Cited by 3 publications

References 9 publications

Conditional quantum dynamics and nonlocal states in dimeric and trimeric arrays of organic molecules

Conditional quantum dynamics and nonlocal states in dimeric and trimeric arrays of organic molecules

An Improved Tripartite Bell-type Inequality

Understanding non-classical correlation using optical hybrid states in noisy quantum channels

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