Development and Tests of PWM Amplifier for Driving the Piezoelectric Elements

The paper describes the design and research work carried out to prepare the prototype of pulse amplifier. The work was aimed to describe main operational parameters of PWM amplifiers enabling using them to control the piezoelectric actuators used for active compensation of Lorentz force detuning of superconducting cavities

Realization of quantum process tomography in NMR

Quantum process tomography is a procedure by which the unknown dynamical evolution of an open quantum system can be fully experimentally characterized. We demonstrate explicitly how this procedure can be implemented with a nuclear magnetic resonance quantum computer. This allows us to measure the fidelity of a controlled-not logic gate and to experimentally investigate the error model for our computer. Based on the latter analysis, we test an important assumption underlying nearly all models of quantum error correction, the independence of errors on different qubits.Comment: 8 pages, 7 EPS figures, REVTe

Dynamics of quantum entanglement

A model of discrete dynamics of entanglement of bipartite quantum state is considered. It involves a global unitary dynamics of the system and periodic actions of local bistochastic or decaying channel. For initially pure states the decay of entanglement is accompanied with an increase of von Neumann entropy of the system. We observe and discuss revivals of entanglement due to unitary interaction of both subsystems. For some mixed states having different marginal entropies of both subsystems (one of them larger than the global entropy and the other one one smaller) we find an asymmetry in speed of entanglement decay. The entanglement of these states decreases faster, if the depolarizing channel acts on the "classical" subsystem, characterized by smaller marginal entropy.Comment: 10 pages, Revtex, 10 figures, refined versio

On the volume of the set of mixed entangled states

A natural measure in the space of density matrices describing N-dimensional quantum systems is proposed. We study the probability P that a quantum state chosen randomly with respect to the natural measure is not entangled (is separable). We find analytical lower and upper bounds for this quantity. Numerical calculations give P = 0.632 for N=4 and P=0.384 for N=6, and indicate that P decreases exponentially with N. Analysis of a conditional measure of separability under the condition of fixed purity shows a clear dualism between purity and separability: entanglement is typical for pure states, while separability is connected with quantum mixtures. In particular, states of sufficiently low purity are necessarily separable.Comment: 10 pages in LaTex - RevTex + 4 figures in eps. submitted to Phys. Rev.

On the volume of the set of mixed entangled states II

The problem of of how many entangled or, respectively, separable states there are in the set of all quantum states is investigated. We study to what extent the choice of a measure in the space of density matrices describing N--dimensional quantum systems affects the results obtained. We demonstrate that the link between the purity of the mixed states and the probability of entanglement is not sensitive to the measure chosen. Since the criterion of partial transposition is not sufficient to distinguish all separable states for N > 6, we develop an efficient algorithm to calculate numerically the entanglement of formation of a given mixed quantum state, which allows us to compute the volume of separable states for N=8 and to estimate the volume of the bound entangled states in this case.Comment: 14 pages in Latex, Revtex + epsf; 7 figures in .ps included (one new figure in the revised version, several minor changes

Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR

Substantial experimental and theoretical efforts worldwide are devoted to explore the phase diagram of strongly interacting matter. At LHC and top RHIC energies, QCD matter is studied at very high temperatures and nearly vanishing net-baryon densities. There is evidence that a Quark-Gluon-Plasma (QGP) was created at experiments at RHIC and LHC. The transition from the QGP back to the hadron gas is found to be a smooth cross over. For larger net-baryon densities and lower temperatures, it is expected that the QCD phase diagram exhibits a rich structure, such as a first-order phase transition between hadronic and partonic matter which terminates in a critical point, or exotic phases like quarkyonic matter. The discovery of these landmarks would be a breakthrough in our understanding of the strong interaction and is therefore in the focus of various high-energy heavy-ion research programs. The Compressed Baryonic Matter (CBM) experiment at FAIR will play a unique role in the exploration of the QCD phase diagram in the region of high net-baryon densities, because it is designed to run at unprecedented interaction rates. High-rate operation is the key prerequisite for high-precision measurements of multi-differential observables and of rare diagnostic probes which are sensitive to the dense phase of the nuclear fireball. The goal of the CBM experiment at SIS100 (sqrt(s_NN) = 2.7 - 4.9 GeV) is to discover fundamental properties of QCD matter: the phase structure at large baryon-chemical potentials (mu_B > 500 MeV), effects of chiral symmetry, and the equation-of-state at high density as it is expected to occur in the core of neutron stars. In this article, we review the motivation for and the physics programme of CBM, including activities before the start of data taking in 2022, in the context of the worldwide efforts to explore high-density QCD matter.Comment: 15 pages, 11 figures. Published in European Physical Journal

Modeling of Synchronous Data Streams Processing in the RPC Muon Trigger System of the CMS Experiment

This paper presents signal synchronization aspects in a large, distributed, multichannel RPC Muon Trigger system in the CMS experiment. The paper is an introduction to normalized structure analysis methods of such systems. The method introduces a general model of the system, presented in a form of a network of distributed, synchronous, pipeline processes. The model is based on a definition of a synchronous data stream and its formal, fundamental properties. Theoretical considerations are supported by a practical application of synchronous streams and processes management. The following processes were modeled and implemented in hardware: window synchronization, derandomization, data concentration and generation of test pulses. There are presented chosen results of the model application in the CMS experiment

Virtex and Spartan based Lorentz force compensation systems in accelerators

Artykuł opisuje system sterujący czterdziestoma torami kompensującymi w akceleratorze FLASH. System zbudowano w oparciu o układy z rodziny Virtex i Spartan firmy Xilinx. W układach reprogramowalnych zaimplementowano niezbędne algorytmy sterowania. System kompensacji został wykorzystany do wspierania wybranych eksperymentów wysokich energii. Przedstawione wyniki pokazują poprawność przyjętych rozwiązań. Uzyskane rezultaty pozwoliły na obniżenie mocy dostarczanej do akceleratora rzędu 0,5 MW.During pulse operation of a linear accelerator (LINAC), cavities are Lorentz force detuned from its main resonance frequency of 1.3 GHz. The detuned cavities need more radio frequency (RF) control efforts to achieve the desired Free Electron Laser (FEL) parameters. Fast frequency tuners based on piezoelectric elements are commonly used for compensation of cavity detuning. The piezo control system specification and its prototype design are presented in RUC 2008 [2]. The achieved results allow designing a completely new system dedicated for a FLASH accelerator (see Fig. 1). The system digital part was designed with use of FPGA devices of Virtex and Spartan families. The control algorithms were implemented inside FPGA ( Fig. 4). Correction signals generated by the digital system are converted by DAC units and next used to drive piezoelectric actua-tors with dedicated power amplifiers. This paper presents the Lorentz force detuning compensation system used to control forty cavities equipped with fast frequency tuners for the Deutsches Elektronen Synchrotron (DESY) FLASH accelerator. The obtained results show the correctness of the chosen solutions. The applied compensation allow decreasing RF control power of 0.5 MW together with significant increase in the accelerating field gradient (Fig. 6)

Compensation System Based on FPGA Devices and Analog Power Amplifiers for Correction of Superconducting avities' Deformations in Linacs

Podczas pracy impulsowej akceleratora, komory nadprzewodzące ulegają odkształceniom. Do ich kompensacji stosowane są piezoelektryczne elementy wykonawcze sterowane przez wzmacniacze mocy. Jest to część analogowa systemu. Do części cyfrowej zalicza się kontroler oparty o reprogramowalne układy cyfrowe. Wzmacniacze mocy wzmacniają sygnał korekcyjny do poziomu umożliwiającego wysterowanie elementów wykonawczych, zaś kontroler wylicza odpowiedź wnęk na ten sygnał. Wszystkie bloki obliczeniowe zostały zoptymalizowane pod względem zajętości zasobów układu reprogramowalnego. Artykuł przedstawia wyniki testów opisywanego systemu w środowisku akceleratora liniowego FLASH.The Superconducting (SC) cavities are deformed during the pulse operation of the linear accelerators. Power amplifiers together with piezoelectric actuators are used for the compensation purpose as an analog parts of the system. The digital part consists of dedicated control board - Simcon DSP based on FPGA device Virtex II Pro from Xilinx. The power amplifiers - Piezo Drivers are used to amplify the correction signal with the proper voltage levels allowing to drive the actuators. The cavities' response for compensation signal - detuning is calculated by digital controller. The computation blocks were optimized to meet available FPGA resources and latency of 10 ns. The detuning result will be applied for closed feedback operation of the controller. The paper presents the recent development of the system and performed tests in FLASH (Free Electron Laser in Hamburg) accelerator

M10.6.9: Design and fabrication of AMC modules for controlling step motors, piezo and waveguide tuners

FLASH accelerator is using superconducting RF cavities to accelerate electron beam. These cavities must be precisely tuned to RF frequency due to very high Q factor (~109 unloaded Q and ~106 loaded Q). They are tuned by slight dimension change (particularly length) induced by tuners driven by step motors. For high gradients (~20MV/m and more) the cavities are dynamically detuned during RF pulse due to Lorentz Force Detuning (LFD). To keep them in resonance the fast tuners with piezos are used. Both slow and fast tuners need the control integrated with the LLRF system