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We introduce a general framework, based on collision models and discrete CP-maps, to describe on an equal footing coherent and measurement-based feedback control of quantum mechanical systems. We apply our framework to prominent tasks in…

Quantum Physics · Physics 2023-10-23 Alfred Harwood , Matteo Brunelli , Alessio Serafini

The traditional approach to feedback control is to apply forces to a system by modifying the Hamiltonian. Here we show that quantum systems can be controlled without any Hamiltonian feedback, purely by exploiting the random quantum…

Quantum Physics · Physics 2015-05-13 Kurt Jacobs

Coherent feedback is a non-measurement based, hence a back-action free, method of control for quantum systems. A typical application of this control scheme is squeezing enhancement, a purely non-classical effect in quantum optics. In this…

Quantum Physics · Physics 2016-11-17 Sanae Iida , Mitsuyoshi Yukawa , Hidehiro Yonezawa , Naoki Yamamoto , Akira Furusawa

We study feedback control of coupled nonlinear stochastic oscillators in a force field. We first consider the problem of asymptotically driving the system to a desired {\em steady state} corresponding to reduced thermal noise. Among the…

Mathematical Physics · Physics 2015-07-02 Yongxin Chen , Tryphon Georgiou , Michele Pavon

In optomechanics, electromagnetic fields are harnessed to control a single mode of a mechanically compliant system, while other mechanical degrees of freedom remain unaffected due to the modes' mutual orthogonality and high quality factor.…

Quantum Physics · Physics 2020-07-22 Martin Frimmer , Jan Gieseler , Lukas Novotny

Feedback control protocols can stabilize and enhance the operation of quantum devices, however, unavoidable delays in the feedback loop adversely affect their performance. We introduce a quantum control methodology, combining open-loop…

Quantum Physics · Physics 2010-03-25 Joshua Combes , Howard M. Wiseman , A. J. Scott

We show that applying feedback and weak measurements to a quantum system induces phase transitions beyond the dissipative ones. Feedback enables controlling essentially quantum properties of the transition, i.e., its critical exponent, as…

Quantum Physics · Physics 2020-01-08 D. A. Ivanov , T. Yu. Ivanova , S. F. Caballero-Benitez , I. B. Mekhov

Cooled, low-loss nanomechanical resonators offer the prospect of directly observing the quantum dynamics of mesoscopic systems. However, the present state of the art requires cooling down to the milliKelvin regime in order to observe…

Condensed Matter · Physics 2009-11-10 Asa Hopkins , Kurt Jacobs , Salman Habib , Keith Schwab

Quantum systems can be controlled by other quantum systems in a reversible way, without any information leaking to the outside of the system-controller compound. Such coherent quantum control is deterministic, is less noisy than…

Quantum Physics · Physics 2021-12-28 Thomas Konrad , Amy Rouillard , Michael Kastner , Hermann Uys

Ground-state cooling of mechanical resonators is a prerequisite for the observation of various quantum effects in optomechanical systems and thus has always been a crucial task in quantum optomechanics. In this paper, we study how to…

Quantum Physics · Physics 2025-01-13 Lei Du , Juliette Monsel , Witlef Wieczorek , Janine Splettstoesser

We have studied theoretically the basic operation of a quantum feedback loop designed to maintain a desired phase of quantum coherent oscillations in a single solid-state qubit. The degree of oscillations synchronization with external…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Rusko Ruskov , Alexander N. Korotkov

Coherent time-delayed feedback allows the control of a quantum system and its partial stabilization against noise and decoherence. The crucial and externally accessible parameters in such control setups are the round-trip-induced delay time…

Quantum Physics · Physics 2020-05-19 Kisa Barkemeyer , Regina Finsterhölzl , Andreas Knorr , Alexander Carmele

A model of an electrical point contact coupled to a mechanical system (oscillator) is studied to simulate the dephasing effect of measurement on a quantum system. The problem is solved at zero temperature under conditions of strong…

Condensed Matter · Physics 2015-06-24 D. Mozyrsky , I. Martin

We introduce a feedback control algorithm that increases the speed at which a measurement extracts information about a $d$-dimensional system by a factor that scales as $d^2$. Generalizing this algorithm, we apply it to a register of $n$…

Quantum Physics · Physics 2009-08-15 Joshua Combes , Howard M. Wiseman , Kurt Jacobs

We provide a fully analytical treatment for the partial refrigeration of the thermal motion of a quantum mechanical resonator under the action of feedback. As opposed to standard cavity optomechanics where the aim is to isolate and cool a…

Quantum Physics · Physics 2019-12-10 Christian Sommer , Claudiu Genes

Quantum manipulation of macroscopic mechanical systems is of great interest in both fundamental physics and applications ranging from high-precision metrology to quantum information processing. A crucial goal is to cool the mechanical…

Quantum Physics · Physics 2014-11-17 Yong-Chun Liu , Yu-Wen Hu , Chee Wei Wong , Yun-Feng Xiao

As a key method in dealing with uncertainties, feedback has been understood fairly well in classical control theory. But for quantum control systems, the capability of measurement-based feedback control (MFC) has not been investigated…

Quantum Physics · Physics 2010-11-16 Bo Qi , Hao Pan , Lei Guo

We consider a wide family of optical coherent feedback loops acting on an optomechanical system operating in the linearized regime. We assess the efficacy of such loops in improving key operations, such as cooling, steady-state squeezing…

Quantum Physics · Physics 2021-02-17 Alfred Harwood , Matteo Brunelli , Alessio Serafini

Mechanical systems are ideal candidates for studying quantumbehavior of macroscopic objects. To this end, a mechanical resonator has to be cooled to its ground state and its position has to be measured with great accuracy. Currently,…

Mesoscale and Nanoscale Physics · Physics 2012-03-16 Menno Poot , Herre S. J. van der Zant

Optomechanical systems show tremendous promise for high sensitivity sensing of forces and modification of mechanical properties via light. For example, similar to neutral atoms and trapped ions, laser cooling of mechanical motion by…

Quantum Physics · Physics 2017-06-07 Xunnong Xu , Thomas Purdy , Jacob M. Taylor