Atomic Wehrl entropy and negativity as entanglement measures for qudit pure states in a trapped ion

Dermez, Rasim; Abdel‐Khalek, S.

doi:10.1007/s10946-011-9215-1

Cited by 28 publications

(8 citation statements)

References 39 publications

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“…The quantum entanglement is manifested at η = 0.6 which is close to the maximum value. These two-qudit states, robust entanglement, and the entangled states observed are in agreement with [8,9,26,27].…”

Section: Quantum Entanglement Measures: Concurrence and Negativitysupporting

confidence: 86%

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Full-trapped three-level ion in the lamb–dicke limit: analyzing and comparing quantum entanglement measures of two qudits

et al. 2012

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Our aim is to investigate the entanglement dynamics and quantum correlations of a full-trapped ion interacting with two time-independent laser beams in view of the Lamb-Dicke parameter. For this purpose, the three probability amplitudes in the trapped ion is taken as 1/3. Concurrence, negativity, and atomic Wehrl entropy of entanglement exhibit a long interacting time. We show that long survival is proved with these quantum measures.

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Section: Quantum Entanglement Measures: Concurrence and Negativitysupporting

confidence: 86%

Section: Quantum Entanglement Measure: Atomic Wehrl Entropy and Discumentioning

confidence: 99%

Full-trapped three-level ion in the lamb–dicke limit: analyzing and comparing quantum entanglement measures of two qudits

et al. 2012

Self Cite

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“…The transmitter source operates a CNOT gate from the first qubit ( q 1 ) to the second qubit ( q 2 ) which will produce α| 000+ β| 110. Then, the first qubit operates the CNOT gate into the third qubit ( q 3 ) and produces α| 000+ β| 111 which is the final result of the encoded qubit [ 30 , 31 ]. All these three encoded qubits are sent down into the channel and have been interfered with by noise.…”

Section: Digital System Design For Quantum Error Correctionmentioning

confidence: 99%

Digital System Design for Quantum Error Correction Codes

Khalifa

Sharif

Saeed

et al. 2021

Contrast Media & Molecular Imaging

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Quantum computing is a computer development technology that uses quantum mechanics to perform the operations of data and information. It is an advanced technology, yet the quantum channel is used to transmit the quantum information which is sensitive to the environment interaction. Quantum error correction is a hybrid between quantum mechanics and the classical theory of error-correcting codes that are concerned with the fundamental problem of communication, and/or information storage, in the presence of noise. The interruption made by the interaction makes transmission error during the quantum channel qubit. Hence, a quantum error correction code is needed to protect the qubit from errors that can be caused by decoherence and other quantum noise. In this paper, the digital system design of the quantum error correction code is discussed. Three designs used qubit codes, and nine-qubit codes were explained. The systems were designed and configured for encoding and decoding nine-qubit error correction codes. For comparison, a modified circuit is also designed by adding Hadamard gates.

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“…Hence, many investigations have been tried in order find out a new quantifier of the QE of a quantum system. On this regard, the atomic phase space entropy (PSE) 9,10 and the atomic version of Fisher information (FI) 11 have been utilized to assess the QE and contrasted by the von Neumann entropy. Another related version of the atomic Wehrl entropy is called tomographic entropy (TE), which has been introduced and investigated for different spin systems.…”

Section: Introductionmentioning

confidence: 99%

Engineering entanglement, geometric phase, and quantum Fisher information of a three‐level system with energy dissipation

Abdel‐Khalek

Abo‐Dahab

Ragab

et al. 2020

Math Methods in App Sciences

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Quantum Fisher information (QFI) and geometric phase have recently performed different tasks in quantum information technology. We investigate the statistical quantities as the QFI and entanglement of a three-level atom in Λ configuration interacting with a quantized field mode by using linear entropy. We study the dynamical behavior of the geometric phase based on the engineering of a three-level atomic configuration. We analyze the effect of energy dissipation of the dynamical properties of the geometric phase and the QFI as an entanglement quantifier between the three-level atom and field. We explore the correlation between the engineering geometric phase and QFI in the absence and presence of energy dissipation effect. We have found that the QFI is very sensitive to the effect of the time-dependent coupling and energy dissipation.

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Atomic Wehrl entropy and negativity as entanglement measures for qudit pure states in a trapped ion

Cited by 28 publications

References 39 publications

Full-trapped three-level ion in the lamb–dicke limit: analyzing and comparing quantum entanglement measures of two qudits

Full-trapped three-level ion in the lamb–dicke limit: analyzing and comparing quantum entanglement measures of two qudits

Digital System Design for Quantum Error Correction Codes

Engineering entanglement, geometric phase, and quantum Fisher information of a three‐level system with energy dissipation

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