Tripartite Entanglement: Foundations and Applications

Cunha, Márcio M.; Fonseca, Alejandro; Silva, Edilberto O.

doi:10.3390/universe5100209

Cited by 45 publications

(28 citation statements)

References 237 publications

(226 reference statements)

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“…For the analysis of the interaction between the two qubits of the two black hole systems, we have considered a different basis of the GHZ state [ 39 ], from which we can return to the usual form by some local operation. One can obtain the maximally entangled state by adopting the selected photons spatially which belongs to the intersection of two parametric down-conversion cones.…”

Section: Discussionmentioning

confidence: 99%

Binary Black Hole Information Loss Paradox and Future Prospects

Mitra

Chattopadhyay

Paul

et al. 2020

Entropy

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Various techniques to tackle the black hole information paradox have been proposed. A new way out to tackle the paradox is via the use of a pseudo-density operator. This approach has successfully dealt with the problem with a two-qubit entangle system for a single black hole. In this paper, we present the interaction with a binary black hole system by using an arrangement of the three-qubit system of Greenberger–Horne–Zeilinger (GHZ) state. We show that our results are in excellent agreement with the theoretical value. We have also studied the interaction between the two black holes by considering the correlation between the qubits in the binary black hole system. The results depict a complete agreement with the proposed model. In addition to the verification, we also propose how modern detection of gravitational waves can be used on our optical setup as an input source, thus bridging the gap with the gravitational wave’s observational resources in terms of studying black hole properties with respect to quantum information and entanglement.

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Section: Discussionmentioning

confidence: 99%

Binary Black Hole Information Loss Paradox and Future Prospects

Mitra

Chattopadhyay

Paul

et al. 2020

Entropy

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“…3. Furthermore, as there are two non-equivalent classes for 3-qubit entangled states i.e., GHZ class and W class [26], so it would be interesting to compare the success probabilities P of our first ECP (Sec. 2) for 3-mode GHZ-type ECS as shown in Fig.…”

Section: Success Probabilitymentioning

confidence: 99%

Entanglement Concentration Protocols for GHZ-type Entangled Coherent State Based on Linear Optics

Sisodia

Shukla

2021

Int J Theor Phys

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We proposed two entanglement concentration protocols (ECPs) to obtain maximally entangled Greenberger-Horne-Zeilinger (GHZ)-type entangled coherent state (ECS) from the corresponding partially entangled GHZ-type ECSs. We obtained the first ECP using a partially entangled GHZ-type ECS assisted with a superposition of single-mode coherent state, however the second ECP is designed using two copies of partially entangled GHZ-type ECSs. The success probabilities have also been calculated and discussed for both the ECPs. We have further compared the success probabilities of our first ECP for 3-mode GHZ-type ECS with an ECP of 3-mode W-type ECS and found that our ECP is more efficient (maximal success probabilities) for larger value (β = 0.7) of state parameter. For the physical realization, two optical circuits (for two ECPs) using linear optical elements, viz 50:50 beam splitter, phase shifter, and photon detectors are provided, which support the future experimental implementation possible with the present technology.

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“…To solve numerically the above differential equations in order to determine the wave function

, we assume that the total system is initially in two different maximally entangled states:

where we take the phase angle

. The type of entanglement of the initial states of Equations (9) and (10) is very useful for distributed quantum information processing [ 29 , 30 , 31 ], and it possible to realize them experimentally [ 35 , 36 , 37 ].…”

Section: The Physical Model and Its Differential Equationsmentioning

confidence: 99%

Control of the Geometric Phase in Two Open Qubit–Cavity Systems Linked by a Waveguide

Mohamed

Masmali

2020

Entropy

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We explore the geometric phase in a system of two non-interacting qubits embedded in two separated open cavities linked via an optical fiber and leaking photons to the external environment. The dynamical behavior of the generated geometric phase is investigated under the physical parameter effects of the coupling constants of both the qubit–cavity and the fiber–cavity interactions, the resonance/off-resonance qubit–field interactions, and the cavity dissipations. It is found that these the physical parameters lead to generating, disappearing and controlling the number and the shape (instantaneous/rectangular) of the geometric phase oscillations.

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Tripartite Entanglement: Foundations and Applications

Cited by 45 publications

References 237 publications

Binary Black Hole Information Loss Paradox and Future Prospects

Binary Black Hole Information Loss Paradox and Future Prospects

Entanglement Concentration Protocols for GHZ-type Entangled Coherent State Based on Linear Optics

Control of the Geometric Phase in Two Open Qubit–Cavity Systems Linked by a Waveguide

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