scholarly journals Dynamic creation of a topologically-ordered Hamiltonian using spin-pulse control in the Heisenberg model

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Tetsufumi Tanamoto ◽  
Keiji Ono ◽  
Yu-xi Liu ◽  
Franco Nori
Keyword(s):  
Quantum Information Processing ◽  
Pulse Sequence ◽  
Honeycomb Lattice ◽  
Pulse Control ◽  
Spin Hamiltonian ◽  
Heisenberg Spin ◽  
Important Approach ◽  
One Step ◽  
Heisenberg Spin Hamiltonian ◽  
Stable Material

Abstract Hamiltonian engineering is an important approach for quantum information processing, when appropriate materials do not exist in nature or are unstable. So far there is no stable material for the Kitaev spin Hamiltonian with anisotropic interactions on a honeycomb lattice, which plays a crucial role in the realization of both Abelian and non-Abelian anyons. Here, we show two methods to dynamically realize the Kitaev spin Hamiltonian from the conventional Heisenberg spin Hamiltonian using pulse-control techniques based on the Baker-Campbell-Hausdorff (BCH) formula. In the first method, the Heisenberg interaction is changed into Ising interactions in the first process of the pulse sequence. In the next process of the first method, we transform them to a desirable anisotropic Kitaev spin Hamiltonian. In the second more efficient method, we show that if we carefully design two-dimensional pulses that vary depending on the qubit location, we can obtain the desired Hamiltonian in only one step of applying the BCH formula. As an example, we apply our methods to spin qubits based on quantum dots, in which the effects of both the spin-orbit interaction and the hyperfine interaction are estimated.

scholarly journals Knowledge Vector Representation of Three Dimensional Convex Polyhedrons and Reconstruction of Medical Images using Knowledge Vector

2021 ◽  
Author(s):  
Shilpa Rani ◽  
Kamlesh Lakhwani ◽  
Sandeep Kumar
Keyword(s):  
Medical Image ◽  
Domain Knowledge ◽  
Three Dimensional ◽  
3D Image ◽  
Clinical Value ◽  
Image Construction ◽  
3D Image Reconstruction ◽  
Syntactic Pattern ◽  
Important Approach ◽  
One Step

Abstract Three-dimensional image construction and reconstruction play an important role in various applications of the real world in the field of computer vision. In the last three decades, researchers are continually working in this area because construction and reconstruction is an important approach in medical imaging. Reconstruction of the 3D image allows us to find the lesion information of the patients which could offer a new and accurate approach for the diagnosis of the disease and it adds a clinical value. Considering this, we proposed novel approaches for the construction and reconstruction of the image. First, the novel construction algorithm is used to extract the features from an image using syntactic pattern recognition. The proposed algorithm is able to extract in-depth features in all possible directions and planes and also able to represent the 3D image into a textual form. These features vector is nothing but a string that consists of direction and length information in syntactic form. For the identification of syntactic grammar, a real 3D clay model was made and identified the different possible patterns in the image. According to the domain knowledge, in a 3D image, a pixel could be present in 26 possible directions and we incorporated all possible directions in the proposed algorithm. In the same way, for the reconstruction of the image novel algorithm is proposed. In this algorithm, the knowledge vector has been taken as an input and the algorithm is able to reconstruct a 3D image. Reconstruction allows us to explore the internal details of the 3D images such as the size, shape, and structure of the object which could take us one step ahead in the field of medical image processing. Performances of the proposed algorithms are evaluated on five medical image dataset and the datasets are collected from Pentagram research institute, Hyderabad and results are outperformed in real-time. The accuracy of the proposed method is 94.78% and the average execution time is 6.76 seconds which is better than state of art methods.

Practical one-step synthesis of multipartite entangled states on superconducting circuits

2019 ◽  
Vol 17 (07) ◽  
pp. 1950051
Author(s):  
Rui Tao ◽  
Xiao-Tao Mo ◽  
Zheng-Yuan Xue ◽  
Jian Zhou
Keyword(s):  
Quantum Information Processing ◽  
Single Step ◽  
Entangled States ◽  
Entangled State ◽  
Many Body ◽  
Entanglement Generation ◽  
Superconducting Circuits ◽  
Transmission Line Resonator ◽  
One Step ◽  
Microwave Control

Quantum entanglement is an important resource for quantum information processing tasks. However, realistic multipartite entangled state production is very difficult. In this paper, we propose an efficient single-step scheme for generating many body Greenberger–Horne–Zeilinger (GHZ) states on superconducting circuits by using a superconducting transmission-line resonator (TLR) interact with [Formula: see text] superconducting transmon qubits. The distinct merit of our proposal is that it does not require the qubit-resonator coupling strengths to be the same, which is usually impractical experimentally, and thus is one of the main reasons for entanglement generation infidelity in previous single-step schemes. The removing of the uniform interaction requirement is achieved by modulating the qubits splitting frequencies with ac microwave fields, which results in tunable individual qubit-resonator coupling strength, and thus effective uniform qubit–qubit interaction Hamiltonian can be obtained. Since microwave control is conventional nowadays, our proposal can be directly tested experimentally, which makes previous multipartite entangled states generation schemes more efficient.

Sign in / Sign up

Export Citation Format

Share Document