Realization of quantum gates based on three-dimensional harmonic oscillator in a time-varying electromagnetic field

Gautam, Kumar; Chauhan, Garv; Rawat, Tarun Kumar; Parthasarathy, Harish; Sharma, Navneet

doi:10.1007/s11128-015-1061-6

Cited by 10 publications

(5 citation statements)

References 36 publications

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“…Further, we club the discrete-time index and the potential integer index into a single index by the process of lexicographic ordering. This clubbing enables us to formulate the problem of determining the optimal potential as a matrix-vector combined quadratic optimization problem, which can be optimized using MATLAB [15], [16]. Again, we observe that,…”

Section: Kgautammentioning

confidence: 92%

“…1 respectively, with time progressing vertically upwards. Here, we have considered only the lowest order process; contributions from self loop terms and vacuum polarization effects induced by external electromagnetic fields can also be included [31]- [35]. Following the rules given by Feynman, the transition amplitude for the first diagram in 1 can be written as:…”

Section: Formulation Of the Proposed Unitary Gatementioning

confidence: 99%

“…The problem is discussed in order to be used in the design of various quantum gates, which aid in the generation of quantum logic circuits that are faster than conventional logic circuits. To realize the quantum gates, we perturbed the Hamiltonian with a small electric field, as previously discussed in [15]- [18]. When a quantum system is perturbed by electric, magnetic, or electromagnetic radiation, it becomes excited and changes its state.…”

Section: Introductionmentioning

confidence: 99%

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Electrodynamics-based Quantum Gate Optimization with Born Scattering

Gautam

2023

Preprint

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In this paper, we propose employing electron scattering to realize unitary quantum gates that are controlled by three qubits. Using Feynman’s rules, we find an expression for the transition amplitude for scattering from an external electromagnetic source. In this context, the scattering amplitude is modeled as a unitary gate whose state can be regulated. The optimal value of the vector potential needed to implement the gate is obtained by minimizing the difference between the designed gate and the target gate, with the total energy consumed as a constraint. The design algorithm is obtained by discretizing the resulting integral equations into vector equations. This design algorithm can be applied in various fields such as quantum computing, communication, and sensing. It offers a promising approach for developing efficient and accurate gates for quantum information processing. Furthermore, this approach can also be extended to design gates for multi-qubit systems, which are essential for large-scale quantum computing. The use of this algorithm can significantly contribute to the development of practical quantum technologies.

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Section: Kgautammentioning

confidence: 92%

Section: Formulation Of the Proposed Unitary Gatementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electrodynamics-based Quantum Gate Optimization with Born Scattering

Gautam

2023

Preprint

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“…The so‐called cylindrical projection transformation is actually to find the one‐to‐one correspondence between the rectangular coordinates of the camera and the cylindrical coordinates, and project each individual picture onto the cylindrical surface, so that the center of the cylindrical projection can be realized as the viewpoint. Observe the virtual landscape continuously from multiple angles, so as to meet the consistency of human vision 23,24 . Among them, O is the viewpoint, P ( x , y ) is any point on the material photo, P ′( x ′, y ′) is the corresponding cylindrical projection image point; Q point is a point on the material photo, and is the same as O .…”

Section: Research On Digital 3d Panoramic Visual Communication Techno...mentioning

confidence: 99%

Research and implementation of digital 3D panoramic visual communication technology based on virtual reality

Zhang

Kou

2021

Int J Communication

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Summary Based on the digital three‐dimensional (3D) panoramic technology of sequence pictures, the static pictures are stitched together to form a 360‐degree panoramic image, which can truly reproduce the real scene. Panoramic images are widely used, making this technology a hot spot in the research of virtual reality technology. This paper completes the research content of the application value of the digital 3D panorama, the key technology of digital 3D panorama technology, and the design and display of 3D panorama campus through practical application. This article comprehensively introduces the hardware equipment of panoramic technology and the technical requirements of panoramic image acquisition in the field of practical application, and combines the actual cases to systematically produce panoramic image stitching, panoramic image generation, and virtual roaming campus construction; 3D panoramic technology is a brand‐new form of viewing images, discussing and studying the artistic expression of 3D panoramic images, and researching its innovative application in visual communication art. In this paper, the chromaticity calibration of digital camera and projection equipment is used to eliminate the coupling difference between the two; then estimate the spectral reflectance of the three‐color channel of the object and separate the specular reflection component and the diffuse reflection component, at the same time correct the color and specular reflectance of the object itself, and analyze the influence of reflection on the color of the projection light source. This article describes the design ideas and key technologies of the school's 3D panoramic walkthrough system, describes in detail the process of the system from demand analysis to system design and finally realization, and focuses on the production method of panoramic images and the main functional modules in the walkthrough system. At the end, the system was tested, and the existing problems were analyzed, and solutions were provided. Research shows that when the roaming system has 3,000 concurrent users, it can read a single scene for about 3 s on average.

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“…The first is a known component and the second contains small unknown parameters. Thus, time‐independent perturbation theory can be used to determine the eigenvalues and eigenvectors of the system and hence the time‐dependent Schrödinger evolution kernel of the system in terms of the unknown parameters [20, 21]. For understanding the nature of the Hamiltonian of the system and the parameters in it to be estimated, a quantum system may for example be a crystal with N electrons, each then having a different effective mass m i and K nuclear charges