Quantum Computing with Trapped Ions

Lange, Wolfgang

doi:10.1007/978-0-387-30440-3_430

Cited by 4 publications

(2 citation statements)

References 142 publications

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“…Determination of the maximum number of ions that can fit within the area of a linear configuration using the relationship 𝑁 𝑚𝑎𝑥 = 1.82( 𝑊 𝑟 𝑊 𝑧 ) 1.13 . [17] Firstly, in our work, we chose only five ions. One can increase the number of ions within the confining zone by altering the axial frequency.…”

Section: The Discussionmentioning

confidence: 99%

WITHDRAWN: The confined stability region for 40 Ca + ions in a linear Paul trap

Kazem

Saleh

2023

Preprint

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As a result of the current increase in interest in quantum computing and the unrelenting attempt to develop and establish a quantum computer, Many researchers in this field have turned to designing appropriate algorithms or investigating the possibilities of controlling and manipulating the quantum state. One of the most promising techniques involves using single ionized atoms kept in Paul traps. Each ion's internal state represents the lowest quantum informational unit (a qubit). That research used the trapped ions 40Ca + to illustrate a quantum qubit. According to the Paul linear trap, one of the essential traps for confining ions in one dimension, they may be easily handled and controlled in the quantum state. We used MATLAB programs to simulate the factors affecting the confined state and their impact on it after resolving Mathieu's equation and determining the vibrational state of the ion. That consists of superposition cases between the secular monition and the Micromotion. The a and q values in Mathieu's equation are necessary for three-dimensional confinement for the solutions to be simultaneously stable in both directions. The parameter a depends on the Dc voltage, the ion's mass, the Radio frequencies, and the distance between the trap center and the electrodes. The control by a variable voltage provided it. In addition, it illustrates its effect in a specific chain of trapped ions. This study opens the door to understanding the ideal condition through which it ensures the best state of confinement and selecting what is necessary to reach the resonance state for ions transport from the state (4S1/2) to the state (4P1/2). After that, the manipulation of the quantum state begins.

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Section: The Discussionmentioning

confidence: 99%

WITHDRAWN: The confined stability region for 40 Ca + ions in a linear Paul trap

Kazem

Saleh

2023

Preprint

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“…The relationship is used to calculate the most ions that can fit inside the space of a linear design. [21] The experiment only included five ions, for starters. Increasing the confining zone's capacity to hold ions requires adjusting the axial frequency.…”

Section: The Discussionmentioning

confidence: 99%

The linear Paul Trap's Confined Stability Area for 40Ca+ Ions

Basem R. Kazem,

Mezher B. Saleh

2024

cbej

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Quantum technology offers new computational, communication, simulation, and metrology methods. Traditional computers need help to solve significant problems like factorization due to exponential increases in computation time. However, quantum computers utilize quantum mechanics for sub-exponential problem size and can simulate nature at the quantum level. Scientists are increasingly interested in developing quantum computers using single ionized atoms in Paul traps. Each ion's ground state represents the least possible qubit value. The 40Ca+ trapped ions were used in a study as an example of a quantum qubit. The MATLAB program was applied to model factors impacting the restricted state and their effects. The solutions must be stable in both directions, requiring three-dimensional confinement of Mathieu's equation. The parameter influences the electrode's distance from the trap center, UDC voltage, ion mass, and radio frequencies. A variable voltage was used to control and demonstrate its impact on a specific chain of trapped ions. This research aims to understand better optimal conditions for confinement and ions' movement from state (4S1/2) to state (4P1/2) by resonance. The quantum state is subject to modification and alteration, making it a promising tool for solving complex problems.

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Quantum gates simulation by ions trapped in a linear Paul trap

Kazem,

Saleh

2024

Fifth International Conference on Applied Sciences: Icas2023

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Quantum Computing with Trapped Ions

Cited by 4 publications

References 142 publications

WITHDRAWN: The confined stability region for 40 Ca + ions in a linear Paul trap

WITHDRAWN: The confined stability region for 40 Ca + ions in a linear Paul trap

The linear Paul Trap's Confined Stability Area for 40Ca+ Ions

Quantum gates simulation by ions trapped in a linear Paul trap

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