Entanglement and causality in the interaction of the two-level atom with the field

Kiktenko, Evgeniy O.; Коротаев, С. М.

doi:10.1088/0031-8949/88/05/055008

Cited by 5 publications

(10 citation statements)

References 22 publications

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“…Finally, the question about practical aspect of obtained results appears. As it was shown in previous works [19][20][21] the asymmetry of bipartite state observed by quantum causal analysis plays role in interaction of the such state with environment. "Tomographic" approach can reveal this asymmetry without full reconstruction of the state.…”

Section: Discussionmentioning

confidence: 74%

“…Quantum causal analysis [18]- [21] is a formal method for a treatment of informational asymmetry between parties of bipartite states. The term "causal" comes from classical causal analysis (see, e.g.…”

Section: Quantum Causal Analysismentioning

confidence: 99%

“…For the purpose of asymmetry investigation the method of quantum causal analysis was proposed [18]. It was successfully implemented to two- [19] and three- [20] qubit states and atom-field interaction [21], where interesting conclusions were made.…”

Section: Introductionmentioning

confidence: 99%

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Tomographic causal analysis of two-qubit states and tomographic discord

Kiktenko¹,

Fedorov²

2014

Physics Letters A

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We study a behavior of two-qubit states subject to tomographic measurement. In this Letter we propose a novel approach to definition of asymmetry in quantum bipartite state based on its tomographic Shannon entropies. We consider two types of measurement bases: the first is one that diagonalizes density matrices of subsystems and is used in a definition of tomographic discord, and the second is one that maximizes Shannon mutual information and relates to symmetrical form quantum discord. We show how these approaches relate to each other and then implement them to the different classes of two-qubit states. Consequently, new subclasses of X-states are revealed.

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Section: Discussionmentioning

confidence: 74%

Section: Quantum Causal Analysismentioning

confidence: 99%

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Tomographic causal analysis of two-qubit states and tomographic discord

Kiktenko¹,

Fedorov²

2014

Physics Letters A

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“…Also, we propose an analytical formula for quantum discord as well as examining it for the set of randomly generated two-qubit states. Furthermore, we combine our consideration with quantum causal analysis [59][60][61][62], which allows us to reveal significant properties in the entropic asymmetry of states with X -type density matrices [63].…”

Section: Arxiv:14095265v2 [Quant-ph] 7 Apr 2015mentioning

confidence: 99%

Tomographic discord for a system of two coupled nanoelectric circuits

et al. 2015

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We consider quantum correlations and quantum discord phenomena for two-qubit states with Xtype density matrices in the tomographic framework of quantum mechanics. By introducing different measurements schemes, we establish the relation between tomographic approach to quantum discord, symmetric discord, and measurement-induced disturbance. In our consideration, X -states appear as approximations of ground and low temperature thermal states of two coupled harmonic oscillators realized by nanoelectric LC-circuits. Possibilities for control the amounts of correlations and entropic asymmetry due to variation of the frequency detuning and the coupling constant are also considered.

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“…In the current article we consider the CTC problems with the aid of the recently suggested method of quantum causal analysis, where causality is defined without invoking the time relation [16,[23][24][25][26][27][28][29]. Therefore, this method is best suited to study the causal structure of time reversal phenomena.…”

Section: Introductionmentioning

confidence: 99%

Quantum causality in closed timelike curves

Коротаев¹,

Kiktenko²

2015

Phys. Scr.

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Although general relativity allows the existence of closed timelike curves (CTCs), self-consistency problems arise (the ‘grandfather paradox’ among others). It is known that quantum mechanical consideration of the matter formally removes all the paradoxes, but the questions about causal structure remain. On the other hand, the idea of postselected CTCs (P-CTC) in quantum teleportation has know been put forward and experimentally implemented. We consider these problems with the aid of quantum causal analysis, where causality is defined without invoking the time relation. It implements the Cramer principle of weak causality, which admits time reversal in entangled states. We analyze Deutsch CTCs (D-CTC) with different kinds of interactions between the chronology-violating and chronology-respecting particles, with refined inferences about mixedness, quantum/classical correlations, entanglement and thermodynamics in the D-CTC. The main result is that time reversal causality can really exist, however, the final quantum state does not place retrospective constraints on the initial state, instead the final state can influence the state inside the D-CTC. This is effectively the implementation of Novikov self-consistency principle. The P-CTC has radically different properties; in particular, if the initial state was pure, the final state is always pure too. Self-consistency is controlled by the initial state-dependent traversability of the P-CTC.

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Entanglement and causality in the interaction of the two-level atom with the field

Cited by 5 publications

References 22 publications

Tomographic causal analysis of two-qubit states and tomographic discord

Tomographic causal analysis of two-qubit states and tomographic discord

Tomographic discord for a system of two coupled nanoelectric circuits

Quantum causality in closed timelike curves

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