### 7099 results for qubit oscillator frequency

Contributors: Eugene Grichuk, Margarita Kuzmina, Eduard Manykin

Date: 2010-09-26

A network of coupled stochastic **oscillators** is
proposed for modeling of a cluster of entangled **qubits** that is
exploited as a computation resource in one-way quantum
computation schemes. A **qubit** model has been designed as a
stochastic **oscillator** formed by a pair of coupled limit cycle
**oscillators** with chaotically modulated limit cycle radii and
**frequencies**. The **qubit** simulates the behavior of electric field of
polarized light beam and adequately imitates the states of two-level
quantum system. A cluster of entangled **qubits** can be associated
with a beam of polarized light, light polarization degree being
directly related to cluster entanglement degree. Oscillatory network,
imitating **qubit** cluster, is designed, and system of equations for
network dynamics has been written. The constructions of one-**qubit**
gates are suggested. Changing of cluster entanglement degree caused
by measurements can be exactly calculated....network of stochastic oscillators...network of stochastic **oscillators**...Network of Coupled Stochastic **Oscillators** and One-way Quantum Computations ... A network of coupled stochastic **oscillators** is
proposed for modeling of a cluster of entangled **qubits** that is
exploited as a computation resource in one-way quantum
computation schemes. A **qubit** model has been designed as a
stochastic **oscillator** formed by a pair of coupled limit cycle
**oscillators** with chaotically modulated limit cycle radii and
**frequencies**. The **qubit** simulates the behavior of electric field of
polarized light beam and adequately imitates the states of two-level
quantum system. A cluster of entangled **qubits** can be associated
with a beam of polarized light, light polarization degree being
directly related to cluster entanglement degree. Oscillatory network,
imitating **qubit** cluster, is designed, and system of equations for
network dynamics has been written. The constructions of one-**qubit**
gates are suggested. Changing of cluster entanglement degree caused
by measurements can be exactly calculated.

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Contributors: Ying-Jie Chen, Hai-Tao Song, Jing-Lin Xiao

Date: 2017-10-14

Temperature effects on polaron in triangular quantum dot **qubit** subjected to an electromagnetic field are studied.
We derive the numerical results and formulate the derivative relationships of the ground and first
excited state energies, the electron probability density and the electron **oscillating** period in the superposition state of
the ground state and the first-excited state with the temperature, the cyclotron **frequency**, the electron-phonon coupling
constant, the electric field strength, the confinement strength and the Coulomb impurity potential, respectively....4-The first excited state energy as functions of the temperature and the electron-phonon coupling constant and etc. in triangular quantum dot **qubit** under an electric field.docx...6-The electron **oscillating** period as functions of the temperature and the cyclotron **frequency** in triangular quantum dot **qubit** under an electric field.docx...Temperature effects on polaron in triangular quantum dot **qubit** subjected to an electromagnetic field are studied.
We derive the numerical results and formulate the derivative relationships of the ground and first
excited state energies, the electron probability density and the electron oscillating period in the superposition state of
the ground state and the first-excited state with the temperature, the cyclotron **frequency**, the electron-phonon coupling
constant, the electric field strength, the confinement strength and the Coulomb impurity potential, respectively....6-The electron oscillating period as functions of the temperature and the cyclotron **frequency** in triangular quantum dot **qubit** under an electric field.docx...Data for: Temperature effects on bound polaron in triangular quantum dot **qubit** subjected to an electromagnetic field...7-The electron **oscillating** period as functions of the temperature and the electron-phonon coupling constant and etc. in triangular quantum dot **qubit** under an electric field.docx...2-The first excited state energy as functions of the temperature and the cyclotron **frequency** in triangular quantum dot **qubit** under an electric field.docx...3-The ground state energy as functions of the temperature and the electron-phonon coupling constant and etc. in triangular quantum dot **qubit** under an electric field.docx...1-The ground state energy as functions of the temperature and the cyclotron **frequency** in triangular quantum dot **qubit** under an electric field.docx ... Temperature effects on polaron in triangular quantum dot **qubit** subjected to an electromagnetic field are studied.
We derive the numerical results and formulate the derivative relationships of the ground and first
excited state energies, the electron probability density and the electron **oscillating** period in the superposition state of
the ground state and the first-excited state with the temperature, the cyclotron **frequency**, the electron-phonon coupling
constant, the electric field strength, the confinement strength and the Coulomb impurity potential, respectively.

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Contributors: Tim Byrnes

Date: 2012-03-24

Quantum computation using **qubits** made of two component Bose-Einstein condensates (BECs) is analyzed. We construct a general framework for quantum algorithms to be executed using the collective states of the BECs. The use of BECs allows for an increase of energy scales via bosonic enhancement, resulting in two **qubit** gate operations that can be performed at a time reduced by a factor of N, where N is the number of bosons per **qubit**. We illustrate the scheme by an application to Deutsch-s and Grover-s algorithms, and discuss possible experimental implementations. Decoherence effects are analyzed under both general conditions and for the experimental implementation proposed. ... Quantum computation using **qubits** made of two component Bose-Einstein condensates (BECs) is analyzed. We construct a general framework for quantum algorithms to be executed using the collective states of the BECs. The use of BECs allows for an increase of energy scales via bosonic enhancement, resulting in two **qubit** gate operations that can be performed at a time reduced by a factor of N, where N is the number of bosons per **qubit**. We illustrate the scheme by an application to Deutsch-s and Grover-s algorithms, and discuss possible experimental implementations. Decoherence effects are analyzed under both general conditions and for the experimental implementation proposed.

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Contributors: Goldner, Philippe

Date: 2018-12-02

Towards Optically Controlled **Qubits**
in Rare Earth Doped Nanoparticles ... This presentation was given as an invited seminar at the Department of Applied Physics and Materials Science, Caltech, USA, on May 2, 2018, during a visit to the group of Prof. Andrei Faraon. It gives an overview of the current developments on rare earth based nanoscale systems for quantum technologies, focusing on results obtained within the NanOQTech project.

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Contributors: White, William C.

Date: 1916-10-01

The pliotron **oscillator** for extreme **frequencies** ... n/a

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Contributors: Duddell, William

Date: 1908-10-31

High-**Frequency** Oscillations ... n/a

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Contributors: Abdul-Niby, M., Alameen, M., Baitie, H.

Date: 2016-12-18

injection locked **oscillator**...In Self **Oscillating** systems, locking of the **oscillators** can take place for injected signals close in **frequency** to nth harmonics of the free-running **frequency**. In this paper, we present a simple design for digital phase shift control by using a harmonically injection locked **oscillator** (ILO) of 35MHz **frequency**. Phase shifters at high **frequencies** are essential in many communication system applications such as **frequency** synthesis, quadrature signal generation and phase locked loops (PLLs).
...A Simple Phase Shifting Technique for an Injection Locked **Oscillator**...In Self Oscillating systems, locking of the **oscillators** can take place for injected signals close in **frequency** to nth harmonics of the free-running **frequency**. In this paper, we present a simple design for digital phase shift control by using a harmonically injection locked **oscillator** (ILO) of 35MHz **frequency**. Phase shifters at high **frequencies** are essential in many communication system applications such as **frequency** synthesis, quadrature signal generation and phase locked loops (PLLs).
... In Self **Oscillating** systems, locking of the **oscillators** can take place for injected signals close in **frequency** to nth harmonics of the free-running **frequency**. In this paper, we present a simple design for digital phase shift control by using a harmonically injection locked **oscillator** (ILO) of 35MHz **frequency**. Phase shifters at high **frequencies** are essential in many communication system applications such as **frequency** synthesis, quadrature signal generation and phase locked loops (PLLs).

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Contributors: Owen, Edmund Thomas, Barnes, Crispin H. W.

Date: 2013-09-04

Entanglement and quantum gate processes in the one-dimensional quantum harmonic **oscillator**...Quantum states can contain correlations which are stronger than is possible in classical systems. Quantum information technologies use these correlations, which are known as entanglement, as a resource for implementing novel protocols in a diverse range of fields such as cryptography, teleportation and computing. However, current methods for generating the required entangled states are not necessarily robust against perturbations in the proposed systems. In this thesis, techniques will be developed for robustly generating the entangled states needed for these exciting new technologies.
The thesis starts by presenting some basic concepts in quantum information proccessing. In Ch. 2, the numerical methods which will be used to generate solutions for the dynamic systems in this thesis are presented. It is argued that using a GPU-accelerated staggered leapfrog technique provides a very efficient method for propagating the wave function.
In Ch. 3, a new method for generating maximally entangled two-**qubit** states using a pair of interacting particles in a one-dimensional harmonic **oscillator** is proposed. The robustness of this technique is demonstrated both analytically and numerically for a variety of interaction potentials. When the two **qubits** are initially in the same state, no entanglement is generated as there is no direct **qubit**-**qubit**
interaction. Therefore, for an arbitrary initial state, this process implements a root-of-swap entangling quantum gate. Some possible physical implementations of this proposal for low-dimensional semiconductor
systems are suggested.
One of the most commonly used **qubits** is the spin of an electron. However, in semiconductors, the spin-orbit interaction can couple this **qubit** to the electron's momentum. In order to incorporate this e ffect
into our numerical simulations, a new discretisation of this interaction is presented in Ch. 4 which is signi ficantly more accurate than traditional methods. This technique is shown to be similar to the standard discretisation for magnetic fields.
In Ch. 5, a simple spin-precession model is presented to predict the eff ect of the spin-orbit interaction on the entangling scheme of Ch. 3. It is shown that the root-of-swap quantum gate can be restored by introducing an additional constraint on the system. The robustness of the gate to perturbations in this constraint is demonstrated by presenting numerical solutions using the methods of Ch. 4. ... Quantum states can contain correlations which are stronger than is possible in classical systems. Quantum information technologies use these correlations, which are known as entanglement, as a resource for implementing novel protocols in a diverse range of fields such as cryptography, teleportation and computing. However, current methods for generating the required entangled states are not necessarily robust against perturbations in the proposed systems. In this thesis, techniques will be developed for robustly generating the entangled states needed for these exciting new technologies.
The thesis starts by presenting some basic concepts in quantum information proccessing. In Ch. 2, the numerical methods which will be used to generate solutions for the dynamic systems in this thesis are presented. It is argued that using a GPU-accelerated staggered leapfrog technique provides a very efficient method for propagating the wave function.
In Ch. 3, a new method for generating maximally entangled two-**qubit** states using a pair of interacting particles in a one-dimensional harmonic **oscillator** is proposed. The robustness of this technique is demonstrated both analytically and numerically for a variety of interaction potentials. When the two **qubits** are initially in the same state, no entanglement is generated as there is no direct **qubit**-**qubit**
interaction. Therefore, for an arbitrary initial state, this process implements a root-of-swap entangling quantum gate. Some possible physical implementations of this proposal for low-dimensional semiconductor
systems are suggested.
One of the most commonly used **qubits** is the spin of an electron. However, in semiconductors, the spin-orbit interaction can couple this **qubit** to the electron's momentum. In order to incorporate this e ffect
into our numerical simulations, a new discretisation of this interaction is presented in Ch. 4 which is signi ficantly more accurate than traditional methods. This technique is shown to be similar to the standard discretisation for magnetic fields.
In Ch. 5, a simple spin-precession model is presented to predict the eff ect of the spin-orbit interaction on the entangling scheme of Ch. 3. It is shown that the root-of-swap quantum gate can be restored by introducing an additional constraint on the system. The robustness of the gate to perturbations in this constraint is demonstrated by presenting numerical solutions using the methods of Ch. 4.

Contributors: Rajib Bordoloi, Ranjana Bora Bordoloi, Gauranga Dhar Baruah 1 Women’s

Date: 2016-08-20

Mode **frequency**...In this work we have presented an analogy between the coupled vibrations of two classical
oscillators and the oscillations that take place in a laser cavity. Our aim is to understand classically
the causes that lead to the phase diffusion in a system of coupled classical oscillators and to explore
possibilities of any relationship between phase fluctuation and the **frequency** difference. The
equations of motion for the classical oscillators have been derived and solved, for different values of
coupling coefficients, to obtain the expressions for the mode frequencies1. The solutions, while plotted
graphically have led us to the conclusion that in classical oscillators the mode frequencies of the
oscillators are far apart if their oscillation is heavily coupling dependent and consequently the phase
relationship of the oscillators fluctuate vigorously and frequently, which is the converse of what
happens in a laser cavity consisting atomic oscillators.
Key words: Coupled pendulum, Mode **frequency**, Phase diffusion...In this work we have presented an analogy between the coupled vibrations of two classical
**oscillators** and the **oscillations** that take place in a laser cavity. Our aim is to understand classically
the causes that lead to the phase diffusion in a system of coupled classical **oscillators** and to explore
possibilities of any relationship between phase fluctuation and the **frequency** difference. The
equations of motion for the classical **oscillators** have been derived and solved, for different values of
coupling coefficients, to obtain the expressions for the mode frequencies1. The solutions, while plotted
graphically have led us to the conclusion that in classical **oscillators** the mode **frequencies** of the
**oscillators** are far apart if their **oscillation** is heavily coupling dependent and consequently the phase
relationship of the **oscillators** fluctuate vigorously and frequently, which is the converse of what
happens in a laser cavity consisting atomic **oscillators**.
Key words: Coupled pendulum, Mode **frequency**, Phase diffusion ... In this work we have presented an analogy between the coupled vibrations of two classical
**oscillators** and the **oscillations** that take place in a laser cavity. Our aim is to understand classically
the causes that lead to the phase diffusion in a system of coupled classical **oscillators** and to explore
possibilities of any relationship between phase fluctuation and the **frequency** difference. The
equations of motion for the classical **oscillators** have been derived and solved, for different values of
coupling coefficients, to obtain the expressions for the mode frequencies1. The solutions, while plotted
graphically have led us to the conclusion that in classical **oscillators** the mode **frequencies** of the
**oscillators** are far apart if their **oscillation** is heavily coupling dependent and consequently the phase
relationship of the **oscillators** fluctuate vigorously and frequently, which is the converse of what
happens in a laser cavity consisting atomic **oscillators**.
Key words: Coupled pendulum, Mode **frequency**, Phase diffusion

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Contributors: Lubich, L.

Date: 2018-02-20

...**Oscillators** are often followed by square wave forming circuits and **frequency** dividers. Traditionally, the level of the phase noise, transferred from the **oscillator** outputs to the square waves obtained is calculated ignoring the correlations in the **oscillator** phase noise spectrum. In this paper, accurate expressions are derived, taking into account the phase noise mechanisms in the **oscillators**. The phase noise power spectral densities are calculated in both the traditional way and by using the proposed expressions and they are compared. The situations where the proposed expressions can be useful are identified....frequenc...**oscillator**...**frequency** divider ... **Oscillators** are often followed by square wave forming circuits and **frequency** dividers. Traditionally, the level of the phase noise, transferred from the **oscillator** outputs to the square waves obtained is calculated ignoring the correlations in the **oscillator** phase noise spectrum. In this paper, accurate expressions are derived, taking into account the phase noise mechanisms in the **oscillators**. The phase noise power spectral densities are calculated in both the traditional way and by using the proposed expressions and they are compared. The situations where the proposed expressions can be useful are identified.

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