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Clustering is grouping of data by the proximity of some properties. We report on the possibility of increasing the efficiency of clustering of points in a plane using artificial quantum neural networks after the replacement of the two-level…

量子物理 · 物理学 2021-02-19 V. E. Zobov , I. S. Pichkovskiy

We have done simulating of factorization the number 15 on three qutrits, represented by the spins S = 1, by quantum annealing. We assume that strong one-spin interaction allow selectively operate on different transitions between levels of…

量子物理 · 物理学 2019-03-05 V. E. Zobov , I. S. Pichkovskiy

In this brief paper, we go through the theoretical steps of the spectral clustering on quantum computers by employing the phase estimation and the amplitude amplification algorithms. We discuss circuit designs for each step and show how to…

量子物理 · 物理学 2017-07-24 Ammar Daskin

A fundamental goal in the manipulation of quantum systems is the achievement of many coherent oscillations within the characteristic dephasing time T2*[1]. Most manipulations of electron spins in quantum dots have focused on the…

Radio-frequency pulses are widespread for the control of quantum bits and the execution of operations in quantum computers. The ability to tune key pulse parameters such as time-dependent amplitude, phase, and frequency is essential to…

量子物理 · 物理学 2024-08-19 Jan Ole Ernst , Jan Snoeijs , Mitchell Peaks , Jochen Wolf

Most quantum processors requires pulse sequences for controlling quantum states. Here, we present an alternative algorithm for computing an optimal pulse sequence in order to perform a specific task, being an implementation of a quantum…

量子物理 · 物理学 2020-05-27 John P. S. Peterson , Roberto S. Sarthour , Raymond Laflamme

We describe a fast quantum computer based on optically controlled electron spins in charged quantum dots that are coupled to microcavities. This scheme uses broad-band optical pulses to rotate electron spins and provide the clock signal to…

量子物理 · 物理学 2009-11-13 Susan M. Clark , Kai-Mei C. Fu , Thaddeus D. Ladd , Yoshihisa Yamamoto

We show how to divide a coupled multi-spin system into a small subset of ``active'' spins that evolve under chemical shift or scalar coupling operators, and a larger subset of ``spectator'' spins which are returned to their initial states,…

量子物理 · 物理学 2009-10-31 N Linden , H Barjat , RJ Carbajo , R Freeman

We propose and demonstrate a quantum control scheme for hybrid quantum registers that can reduce the operation time, and therefore the effects of relaxation, compared to existing implementations. It combines resonant excitation pulses with…

量子物理 · 物理学 2018-10-10 Jingfu Zhang , Swathi S Hegde , Dieter Suter

We consider the problem of time-optimal realization of the quantum Fourier transform gate for a single qudit with number of levels d from 3 to 8. As a qudit the quadrupole nucleus with spin I > 1/2 controlled by NMR is considered. We…

量子物理 · 物理学 2015-06-12 V. P. Shauro , V. E. Zobov

We present a robust pulse optimization method for adiabatic population transfer and adiabatic quantum computation. The approach relies on identifying control pulses that keep the evolving quantum system close to its instantaneous ground…

量子物理 · 物理学 2026-02-06 Daniel Turyansky , Yehonatan Zolti , Yuval Cohen , Adi Pick

We study a 2-qubit nuclear spin system for realizing an arbitrary geometric quantum phase gate by means of non-adiabatic operation. A single magnetic pulse with multi harmonic frequencies is applied to manipulate the quantum states of…

量子物理 · 物理学 2009-11-13 Yu Tong , Ruibao Tao

High-fidelity qubit initialization is of significance for efficient error correction in fault tolerant quantum algorithms. Combining two best worlds, speed and robustness, to achieve high-fidelity state preparation and manipulation is…

量子物理 · 物理学 2019-04-09 Ying Yan , Yi Chao Li , Adam Kinos , Andreas Walther , Chunyan Shi , Lars Rippe , Joel Moser , Stefan Kröll , Xi Chen

Using the circulant symmetry of a Hamiltonian describing three qubits, we realize the quantum Fourier transform. This symmetry allows us to construct a set of eigenvectors independently on the magnitude of physical parameters involved in…

量子物理 · 物理学 2023-04-05 Mouhcine Yachi , Radouan Hab-arrih , Ahmed Jellal

We describe a method for improving coherent control through the use of detailed knowledge of the system's Hamiltonian. Precise unitary transformations were obtained by strongly modulating the system's dynamics to average out unwanted…

Optical techniques for the quantum control of the dynamics of multiexciton states in a semiconductor quantum dot are explored in theory. Composite bichromatic phase-locked pulses are shown to reduce the time of elementary quantum operations…

介观与纳米尺度物理 · 物理学 2009-11-07 C. Piermarocchi , Pochung Chen , Y. S. Dale , L. J. Sham

Clustering is one of the most crucial problems in unsupervised learning, and the well-known $k$-means clustering algorithm has been shown to be implementable on a quantum computer with a significant speedup. However, many clustering…

量子物理 · 物理学 2023-01-03 Qingyu Li , Yuhan Huang , Shan Jin , Xiaokai Hou , Xiaoting Wang

We describe a quantum information processor (quantum computer) based on the hyperfine interactions between the conduction electrons and nuclear spins embedded in a two-dimensional electron system in the quantum-Hall regime. Nuclear spins…

量子物理 · 物理学 2014-11-18 V. Privman , I. D. Vagner , G. Kventsel

Dipolar coupled homonuclear spins present challenging, yet useful systems for quantum information processing. In such systems, eigenbasis of the system Hamiltonian is the appropriate computational basis and coherent control can be achieved…

量子物理 · 物理学 2009-11-13 T. S. Mahesh , Dieter Suter

Controllable adiabatic evolution of a multi-qubit system can be used for adiabatic quantum computation (AQC). This evolution ends at a configuration where the Hamiltonian of the system encodes the solution of the problem to be solved. As a…

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