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**qubits**Data Types:- Document

**frequencies**...**frequencies**....**frequency**... network of stochastic**oscillators**...**QUBIT**...**frequencies**);Data Types:- Document

- 6-The electron
**oscillating**period as functions of the temperature and the cyclotron**frequency**in triangular quantum dot**qubit**under an electric field.docx... Fig.4. A-Function relationship between the first excited state energy and the temperature and the electron-phonon coupling constant for different cyclotron**frequencies**and ,,,; B-Function relationship between the first excited energy and the temperature and the electric field strength for different cyclotron**frequencies**and ,,,; C-Function relationship between the first excited energy and the temperature and the confinement length for different cyclotron**frequencies**and ,,,; D-Function relationship between the first excited energy and of the temperature and the Coulomb impurity potential for different cyclotron**frequencies**and ,,,... Fig.1. A-Function relationship between the ground state energy and the temperature and the cyclotron**frequency**for different electron-phonon coupling constants and ,,, ; B-Function relationship between the ground state energy and the temperature and the cyclotron**frequency**for different electric field strengths and ,,,; C-Function relationship between the ground state energy and the temperature and the cyclotron**frequency**for different confinement lengths and ,,,; D-Function relationship between the ground state energy and the temperature and the cyclotron**frequency**for different Coulomb impurity potentials and ,,,... Fig.6. A-The electron**oscillation**period as functions of the temperature and the cyclotron**frequency**for different electron-phonon coupling constants and ,,,; B-The electron**oscillation**period as functions of the temperature and the cyclotron**frequency**for different electric field strengths and,,,; C-The electron**oscillation**period as functions of the temperature and the cyclotron**frequency**for different confinement lengths and ,,,; D-The electron**oscillation**period as functions of the temperature and the cyclotron**frequency**for different Coulomb impurity potentials and ,,,... 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... Fig.7. A-The electron**oscillation**period as functions of the temperature and the electron-phonon coupling constant for different cyclotron**frequencies**and ,,,; B-The electron**oscillation**period as functions of the temperature and the electric field strength for different cyclotron**frequencies**and ,,,; C-The electron**oscillation**period as functions of the temperature and the confinement length for different cyclotron**frequencies**and ,,,; D-The electron**oscillation**period as functions of the temperature and the Coulomb impurity potential for different cyclotron**frequencies**and ,,,... 1-The ground state energy as functions of the temperature and the cyclotron**frequency**in triangular quantum dot**qubit**under an electric field.docx... Fig.3. A-Function relationship between the ground state energy and the temperature and the electron-phonon coupling constant for different cyclotron**frequencies**and ,,,; B-Function relationship between the ground state energy and the temperature and the electric field strength for different cyclotron**frequencies**and ,,,; C-Function relationship between the ground state energy and of the temperature and the confinement length for different cyclotron**frequencies**and ,,,; D-Function relationship between the ground state energy and the temperature and the Coulomb impurity potential for different cyclotron**frequencies**and ,,,Data Types:- Dataset
- Document

- In optically controlled quantum computers it may be favorable to address different
**qubits**using light with different**frequencies**, since the optical diffraction does not then limit the distance between**qubits**. Using**qubits**that are close to each other enables**qubit**-**qubit**interactions and gate operations that are strong and fast in comparison to**qubit**-environment interactions and decoherence rates. However, as**qubits**are addressed in**frequency**space, great care has to be taken when designing the laser pulses, so that they perform the desired operation on one**qubit**, without affecting other**qubits**. Complex hyperbolic secant pulses have theoretically been shown to be excellent for such**frequency**-addressed quantum computing [I. Roos and K. Molmer, Phys. Rev. A 69, 022321 (2004)]—e.g., for use in quantum computers based on optical interactions in rare-earth-metal-ion-doped crystals. The optical transition lines of the rare-earth-metal-ions are inhomogeneously broadened and therefore the**frequency**of the excitation pulses can be used to selectively address**qubit**ions that are spatially separated by a distance much less than a wavelength. Here,**frequency**-selective transfer of**qubit**ions between**qubit**states using complex hyperbolic secant pulses is experimentally demonstrated. Transfer efficiencies better than 90% were obtained. Using the complex hyperbolic secant pulses it was also possible to create two groups of ions, absorbing at specific**frequencies**, where 85% of the ions at one of the**frequencies**was shifted out of resonance with the field when ions in the other**frequency**group were excited. This procedure of selecting interacting ions, called**qubit**distillation, was carried out in preparation for two-**qubit**gate operations in the rare-earth-metal-ion-doped crystals. The techniques for**frequency**-selective state-to-state transfer developed here may be also useful also for other quantum optics and quantum information experiments in these long-coherence-time solid-state systems.Data Types:- Document

- 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 challenging in quantum systems, where**qubits**are closely spaced in**frequency**. Motivated by the concept of shortcut to adiabaticity, we theoretically propose the shortcut pulses via inverse engineering and further optimize the pulses with respect to systematic errors in**frequency**detuning and Rabi**frequency**. Such protocol, relevant to**frequency**selectivity, is applied to rare-earth ions**qubit**system, where the excitation of**frequency**-neighboring**qubits**should be prevented as well. Furthermore, comparison with adiabatic complex hyperbolic secant pulses shows that these dedicated initialization pulses can reduce the time that ions spend in the excited state by a factor of 6, which is important in coherence time limited systems to approach an error rate manageable by quantum error correction. The approach may also be applicable to superconducting**qubits**, and any other systems where**qubits**are addressed in**frequency**.Data Types:- Other
- Document

- We demonstrate the creation, characterization, and manipulation of
**frequency**-entangled qudits by shaping the energy spectrum of entangled photons. The generation of maximally entangled qudit states is verified up to dimension d=4 through tomographic quantum-state reconstruction. Subsequently, we measure Bell parameters for**qubits**and qutrits as a function of their degree of entanglement. In agreement with theoretical predictions, we observe that for qutrits the Bell parameter is less sensitive to a varying degree of entanglement than for**qubits**. For**frequency**-entangled photons, the dimensionality of a qudit is ultimately limited by the bandwidth of the pump laser and can be on the order of a few millions.Data Types:- Document

- In this thesis, we examine an extension of circuit quantum electrodynamics (QED), cavity QED using superconducting circuits, that utilizes multimode cavities as a resource for quantum information processing. We focus on the issue of
**qubit**connectivity in the processors, with an ideal processor having random access -- the ability of arbitrary**qubit**pairs to interact directly. Here, we implement a random access superconducting quantum information processor, demonstrating universal operations on a nine-**qubit**memory, with a Josephson junction transmon circuit serving as the central processor. The quantum memory is a multimode cavity, using the eigenmodes of a linear array of coupled superconducting resonators. We selectively stimulate vacuum Rabi**oscillations**between the transmon and individual eigenmodes through parametric flux modulation of the transmon**frequency**. Utilizing these**oscillations**, we perform a universal set of quantum gates on 38 arbitrary pairs of modes and prepare multimode entangled states, all using only two control lines. We thus achieve hardware-efficient random access multi-**qubit**control. We also explore a novel design for creating long-lived 3D cavity memories compatible with this processor. Dubbed the ``quantum flute'', this design is monolithic, avoiding the loss suffered by cavities with a seam between multiple parts. We demonstrate the ability to manipulate the spectrum of a multimode cavity and also measure photon lifetimes of 0.5-1.3 ms for 21 modes. The combination of long-lived quantum memories with random access makes for a promising architecture for quantum computing moving forward.Data Types:- Document

- High-
**frequency****oscillations**... An example of the implantation schedule (patient #1) demonstrating areas with conventional**frequency**ictal patterns, ictal high-**frequency****oscillations**, hyperexcitability, and radiological lesions. ... An example of the implantation schedule (patient #7) demonstrating areas with conventional**frequency**ictal patterns, ictal high-**frequency****oscillations**, hyperexcitability, and radiological lesions. ... Summary table for statistical analysis. HFO=high**frequency****oscillations**, CFIP=conventional**frequency**ictal patterns.Data Types:- Image
- Tabular Data
- Document

- n/aData Types:
- Document

**oscillate**...**oscillating**...**frequency**....**frequency**,...**oscillation**Data Types:- Document