### 5994 results for qubit oscillator frequency

Contributors: Eugene Grichuk, Margarita Kuzmina, Eduard Manykin

Date: 2010-09-26

**qubit** simulates the behavior of electric field of
polarized light beam...**qubit** model has been designed as a
stochastic **oscillator** formed by a pair...**qubits** that is
exploited as a computation resource in one-way quantum
...**oscillators** is
proposed for modeling of a cluster of entangled **qubits** ...**oscillators** with chaotically modulated limit cycle radii and
**frequencies**...one-**qubit**
gates are suggested. Changing of cluster entanglement degree...**qubit** cluster, is designed, and system of equations for
network dynamics...**oscillators**...**qubit** model has been designed as a
stochastic oscillator formed by a pair ... 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: Zou, Xudong, Seshia, Ashwin Arunkumar

Date: 2015-04-28

**frequency** stability of non-linear MEMS **oscillators** has not been previously...**frequency** stability of a nonlinear MEMS **oscillator** under variable damping...**oscillator** noise predict an improvement in **frequency** stability with increasing...**Oscillators**...**oscillator**. The random walk **frequency** noise and flicker **frequency** noise...**frequency** but also the phase/**frequency** noise of a nonlinear MEMS square ... Linear models for **oscillator** noise predict an improvement in **frequency** stability with increasing Quality factor. Although it is well known that this result does not apply to non-linear **oscillators**, systematic experimental investigations of the impact of damping on **frequency** stability of non-linear MEMS **oscillators** has not been previously reported. This paper studies the **frequency** stability of a nonlinear MEMS **oscillator** under variable damping conditions. Analytical and experimental investigation of a MEMS square-wave **oscillator** embedding a double-ended tuning fork resonator driven into the non-linear regime is introduced. The experimental results indicate that for a pre-set drive level, the variation of air-damping changes the onset of nonlinear behaviour in the resonator, which not only impacts the output **frequency** but also the phase/**frequency** noise of a nonlinear MEMS square wave **oscillator**. The random walk **frequency** noise and flicker **frequency** noise levels are strongly correlated with the non-linear operating point of the resonator, whereas the white phase and white **frequency** noise levels are impacted both by the output power and by operative nonlinearities.

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

Date: 2016-12-18

**frequency** synthesis, quadrature signal generation and phase locked loops...**oscillator** (ILO) of 35MHz **frequency**. Phase shifters at high **frequencies**...**oscillator**...**Oscillating** systems, locking of the **oscillators** can take place for injected...**frequency** to nth harmonics of the free-running **frequency**. In this paper ... 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

**oscillator** is proposed. The robustness of this technique is demonstrated...**qubit** to the electron's momentum. In order to incorporate this e ffect...**qubits** is the spin of an electron. However, in semiconductors, the spin-orbit...**qubits** are initially in the same state, no entanglement is generated as...**qubit**-**qubit**
interaction. Therefore, for an arbitrary initial state, this...two-**qubit** states using a pair of interacting particles in a one-dimensional ... 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: Qasem M. Al-Mdallal

Date: 2012-04-25

**oscillation**
amplitudes....**oscillation** was fixed to
the vortex shedding **frequency** from a fixed cylinder...**oscillations** were varied from to 1.1a, where a
represents the radius of...**oscillating** circular cylinder at
Reynolds number of 200. The **frequency**...**oscillation**; transverse
**oscillation**; fluid forces ... This paper presents results obtained from the
numerical solution for the flow past an **oscillating** circular cylinder at
Reynolds number of 200. The **frequency** of **oscillation** was fixed to
the vortex shedding **frequency** from a fixed cylinder, f0, while the
amplitudes of **oscillations** were varied from to 1.1a, where a
represents the radius of the cylinder. The response of the flow
through the fluid forces acting on the surface of the cylinder are
investigated. The lock-on phenomenon is captured at low **oscillation**
amplitudes.

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

Date: 2016-08-20

**oscillators**.
Key words: Coupled pendulum, Mode **frequency**, Phase diffusion...**frequency**...**oscillators** the mode **frequencies** of the
**oscillators** are far apart if ...**frequency** difference. The
equations of motion for the classical **oscillators**...**oscillators** and the **oscillations** that take place in a laser cavity. Our...**oscillators** and to explore
possibilities of any relationship between ... 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: Mohammad Taghi Darvishi, Samad Kheybari

Date: 2011-08-28

**frequencies** of the system. In parameter-expansion method the solution ...**frequency** of **oscillation** are expanded in a series by a bookkeeping parameter...**oscillator**....**oscillator** coupled gyroscopically to a linear **oscillator**. The major problem...**frequency** of **oscillation**. One iteration step provides an approximate solution ... In this article, we are dealing with a model consisting of a classical Van der Pol **oscillator** coupled gyroscopically to a linear **oscillator**. The major problem is analyzed. The regular dynamics of the system is considered using analytical methods. In this case, we provide an approximate solution for this system using parameter-expansion method. Also, we find approximate values for **frequencies** of the system. In parameter-expansion method the solution and unknown **frequency** of **oscillation** are expanded in a series by a bookkeeping parameter. By imposing the non-secularity condition at each order in the expansion the method provides different approximations to both the solution and the **frequency** of **oscillation**. One iteration step provides an approximate solution which is valid for the whole solution domain.

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Contributors: Jorge Guillermo Calderón-Guizar, Miguel Ramírez-González, Rafael Castellanos-Bustamante

Date: 2017-03-16

**frequency** **oscillations** have been identified...**frequencies** and its associated dampingratio, provide valuable information...**frequency** and damping values of the natural system modes. In the past,...**frequency** **oscillations**, participation factors, electrical power systems...**Oscillations** are phenomena inherent to dynamical systems and the analysis...**frequency** **oscillations**, also known as interarea modes, in the Mexican ... There is a typical dynamical performance associated with every system. **Oscillations** are phenomena inherent to dynamical systems and the analysis of such phenomena is a fundamental issue for understanding the dynamical behavior of a particular system. Knowledge of the system natural modes, **frequencies** and its associated dampingratio, provide valuable information regarding the system performance after being subjected to a disturbance. Due to the operational requirements, topological changes in the transmission network of the electrical power systems are quite common. This causes modification in both **frequency** and damping values of the natural system modes. In the past, normal changes in the operating condition have kicked up undamped power **oscillations** in the Mexican system, thus assessing the damping of critical oscillation modes of the system is of utmost importance. This paper reports on the application of modal analysis and time domain simulations for computing and tracking the most dominant low **frequency** **oscillations**, also known as interarea modes, in the Mexican power system under different operating conditions. As a result, the most influential system variables on the low **frequency** **oscillations** have been identified

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Contributors: Lubich, L.

Date: 2018-02-20

**oscillator** outputs to the square waves obtained is calculated ignoring...**oscillator** phase noise spectrum. In this paper, accurate expressions are...**Oscillators** are often followed by square wave forming circuits and **frequency**...**oscillators**. The phase noise power spectral densities are calculated in...**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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Contributors: Liliia N. Butymova, Vladimir Ya Modorskii

Date: 2016-02-01

**oscillation** **frequency** from 50 to 150 Hz under P=10 MPa causes growth of...**oscillation** amplitude and **frequency**. The phase shift angle between gas-dynamic...**oscillations** and those of shaft displacement decreases from 3π/4 to π/...**oscillating** amplitude to decrease by 3 orders and **oscillation** **frequency**...**oscillation** phase shift...**Frequency** remains almost unchanged and the phase shift in the air changes ... To ensure the gas transmittal GCU's efficient operation, leakages through the labyrinth packings (LP) should be minimized. Leakages can be minimized by decreasing the LP gap, which in turn depends on thermal processes and possible rotor vibrations and is designed to ensure absence of mechanical contact. Vibration mitigation allows to minimize the LP gap. It is advantageous to research influence of processes in the dynamic gas-structure system on LP vibrations. This paper considers influence of rotor vibrations on LP gas dynamics and influence of the latter on the rotor structure within the FSI unidirectional dynamical coupled problem. Dependences of nonstationary parameters of gas-dynamic process in LP on rotor vibrations under various gas speeds and pressures, shaft rotation speeds and vibration amplitudes, and working medium features were studied. The programmed multi-processor ANSYS CFX was chosen as a numerical computation tool. The problem was solved using PNRPU high-capacity computer complex. Deformed shaft vibrations are replaced with an unyielding profile that moves in the fixed annulus "up-and-down" according to set harmonic rule. This solves a nonstationary gas-dynamic problem and determines time dependence of total gas-dynamic force value influencing the shaft. Pressure increase from 0.1 to 10 MPa causes growth of gas-dynamic force **oscillation** amplitude and **frequency**. The phase shift angle between gas-dynamic force **oscillations** and those of shaft displacement decreases from 3π/4 to π/2. Damping constant has maximum value under 1 MPa pressure in the gap. Increase of shaft **oscillation** **frequency** from 50 to 150 Hz under P=10 MPa causes growth of gas-dynamic force **oscillation** amplitude. Damping constant has maximum value at 50 Hz equaling 1.012. Increase of shaft vibration amplitude from 20 to 80 µm under P=10 MPa causes the rise of gas-dynamic force amplitude up to 20 times. Damping constant increases from 0.092 to 0.251. Calculations for various working substances (methane, perfect gas, air at 25 ˚С) prove the minimum gas-dynamic force persistent **oscillating** amplitude under P=0.1 MPa being observed in methane, and maximum in the air. **Frequency** remains almost unchanged and the phase shift in the air changes from 3π/4 to π/2. Calculations for various working substances (methane, perfect gas, air at 25 ˚С) prove the maximum gas-dynamic force **oscillating** amplitude under P=10 MPa being observed in methane, and minimum in the air. Air demonstrates surging. Increase of leakage speed from 0 to 20 m/s through LP under P=0.1 MPa causes the gas-dynamic force **oscillating** amplitude to decrease by 3 orders and **oscillation** **frequency** and the phase shift to increase 2 times and stabilize. Increase of leakage speed from 0 to 20 m/s in LP under P=1 MPa causes gas-dynamic force **oscillating** amplitude to decrease by almost 4 orders. The phase shift angle increases from π/72 to π/2. Oscillations become persistent. Flow rate proved to influence greatly on pressure **oscillations** amplitude and a phase shift angle. Work medium influence depends on operation conditions. At pressure growth, vibrations are mostly affected in methane (of working substances list considered), and at pressure decrease, in the air at 25 ˚С.

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