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For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly…

Optimization and Control · Mathematics 2009-10-19 Billy J. Jackson , John M. Davis , Ian A. Gravagne , Robert J. Marks

In this paper we investigate parametrization-free solutions of the problem of quantum pure state preparation and subspace stabilization by means of Hamiltonian control, continuous measurement and quantum feedback, in the presence of a…

Quantum Physics · Physics 2016-11-17 Francesco Ticozzi , Kazunori Nishio , Claudio Altafini

Feedback loops are at the heart of most classical control procedures. A controller compares the signal measured by a sensor with the target value. It adjusts then an actuator in order to stabilize the signal towards its target. Generalizing…

This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance.…

Optimization and Control · Mathematics 2017-06-08 Hua-Cheng Zhou , George Weiss

We study a Rabi type Hamiltonian system in which a qubit and a d-level quantum system (qudit) are coupled through a common resonator. In the weak and strong coupling limits the spectrum is analysed through suitable perturbative schemes. The…

The Greenberger-Horne-Zeilinger (GHZ) state is a key resource for quantum information processing and quantum metrology. The atomic GHZ state can be generated by one-axis twisting (OAT) interaction $H_{\mathrm{OAT}}=\chi J_{z}^{2}$ with…

Quantum Physics · Physics 2024-03-14 Xuanchen Zhang , Zhiyao Hu , Yong-Chun Liu

The states of three-qubit systems split into two inequivalent types of genuine tripartite entanglement, namely the Greenberger-Horne-Zeilinger (GHZ) type and the $W$ type. A state belonging to one of these classes can be stochastically…

Quantum Physics · Physics 2019-08-19 Gokhan Torun , Ali Yildiz

The dynamic partial differential equation (PDE) model governing longitudinal oscillations in magnetizable piezoelectric beams exhibits exponentially stable solutions when subjected to two boundary state feedback controllers. An analytically…

Optimization and Control · Mathematics 2024-10-10 Ahmet Ozkan Ozer , Ahmet Kaan Aydin , Rafi Emran

We consider a controlled quantum system whose finite dimensional state is governed by a discrete-time nonlinear Markov process. In open-loop, the measurements are assumed to be quantum non-demolition (QND). The eigenstates of the measured…

Optimization and Control · Mathematics 2015-03-19 Hadis Amini , Abhinav Somaraju , Igor Dotsenko , Clement Sayrin , Mazyar Mirrahimi , Pierre Rouchon

We propose a feedback control scheme for generating and stabilizing pure states of transport devices, such as charge qubits, under non-equilibrium conditions. The purification of the device state is conditioned on single electron jumps and…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Christina Pöltl , Clive Emary , Tobias Brandes

Quantum feedback control is a technology which can be used to drive a quantum system into a predetermined eigenstate. In this article, sufficient conditions for the experiment parameters of a quantum feedback control process of a homodyne…

Quantum Physics · Physics 2007-05-23 Andreas de Vries

We present a brief historical introduction to the topic of Bell's theorem. Next we present the surprising features of the three particle Greenberger-Horne-Zeilinger (GHZ) states. Finally we shall present a method of analysis of the GHZ…

Quantum Physics · Physics 2007-05-23 D. Kaszlikowski , M. Zukowski

In this report we deal with the problem of global output feedback stabilization of a class of $n$-dimensional nonlinear positive systems possessing a one-dimensional unknown, though measured, part. We first propose our main result, an…

Optimization and Control · Mathematics 2016-08-16 Jean-Luc Gouzé , Olivier Bernard , Ludovic Mailleret

We demonstrate feedback control of a superconducting transmon qubit using discrete, projective measurement and conditional coherent driving. Feedback realizes a fast and deterministic qubit reset to a target state with 2.4% error averaged…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 D. Ristè , C. C. Bultink , K. W. Lehnert , L. DiCarlo

Recent work has shown that use of quantum feedback can significantly enhance both the speed and success rate of measurement-based remote entanglement generation, but it is generally unknown what feedback protocols are optimal for these…

Quantum Physics · Physics 2017-07-17 Leigh S. Martin , Mahrud Sayrafi , K. Birgitta Whaley

Multipartite entanglement is a critical resource in quantum information processing that exhibits much richer phenomenon and stronger correlations than in bipartite systems. This advantage is also reflected in its multi-user applications.…

Quantum Physics · Physics 2023-04-14 Hsin-Pin Lo , Takuya Ikuta , Koji Azuma , Toshimori Honjo , William J. Munro , Hiroki Takesue

Quantum technologies and experiments often require preparing systems in low-temperature states. Here, we investigate cooling schemes using feedback protocols modeled with a Quantum Fokker-Planck Master Equation (QFPME) recently derived by…

We derive a family of stochastic master equations describing homodyne measurement of multi-qubit diagonal observables in circuit quantum electrodynamics. In the regime where qubit decay can be neglected, our approach replaces the…

Quantum Physics · Physics 2017-07-25 Ben Criger , Alessandro Ciani , David P. DiVincenzo

We analyze the information that one can learn about the state of a quantum two-level system, i.e. a qubit, when probed weakly by a nearby detector. In particular, we focus on the case when the qubit Hamiltonian and the qubit's operator…

Quantum Physics · Physics 2009-08-15 S. Ashhab , J. Q. You , Franco Nori

We propose a new single-step scheme for the generation of a GHZ entangled state of three single-electron excitations (flying qubits). We also present a method to get a generalized GHZ-state. Our idea relies upon the most recent progress in…

Mesoscale and Nanoscale Physics · Physics 2014-03-14 A. A. Vyshnevyy , G. B. Lesovik , T. Jonckheere , T. Martin
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