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The quantum harmonic oscillator is one of the most fundamental objects in physics. We consider the case where it is extended to an arbitrary number modes and includes all possible terms that are bilinear in the annihilation and creation…

Quantum Physics · Physics 2024-01-26 Mattias T. Johnsson , Daniel Burgarth

This paper is concerned with constructing an optimal controller in the coherent quantum Linear Quadratic Gaussian problem. A coherent quantum controller is itself a quantum system and is required to be physically realizable. The use of…

Quantum Physics · Physics 2012-05-21 Igor G. Vladimirov , Ian R. Petersen

In this paper we consider the classical and quantum control of squeezed states of harmonic oscillators. This provides a method for reducing noise below the quantum limit and provides an example of the control of under-actuated systems in…

Statistical Mechanics · Physics 2007-05-23 Anthony M. Bloch , Alberto G. Rojo

We apply theoretically open-loop quantum optimal control techniques to provide methods for the verification of various quantum coherent transport mechanisms in natural and artificial light-harvesting complexes under realistic experimental…

Quantum Physics · Physics 2012-05-01 Filippo Caruso , Simone Montangero , Tommaso Calarco , Susana F. Huelga , Martin B. Plenio

The ongoing discussion whether thermodynamic properties can be extracted from a (possibly approximate) quantum mechanical time evolution using time averages is fed with an instructive example. It is shown for the harmonic oscillator how the…

Statistical Mechanics · Physics 2009-10-31 J. Schnack

Non-equilibrium physics is a particularly fascinating field of current research. Generically, driven systems are gradually heated up so that quantum effects die out. In contrast, we show that a driven central spin model including controlled…

Quantum Physics · Physics 2020-03-18 Goetz S. Uhrig

Coherent controlization, i.e., coherent conditioning of arbitrary single- or multi-qubit operations on the state of one or more control qubits, is an important ingredient for the flexible implementation of many algorithms in quantum…

Quantum Physics · Physics 2015-12-16 Nicolai Friis , Alexey A. Melnikov , Gerhard Kirchmair , Hans J. Briegel

In a quantum processor, the device design and external controls together contribute to the quality of the target quantum operations. As we continuously seek better alternative qubit platforms, we explore the increasingly large device and…

Quantum Physics · Physics 2023-12-08 Xiaotong Ni , Hui-Hai Zhao , Lei Wang , Feng Wu , Jianxin Chen

The measured multi-dimensional spectral response of different light harvesting complexes exhibits oscillatory features which suggest an underlying coherent energy transfer. However, making this inference rigorous is challenging due to the…

Quantum Physics · Physics 2019-12-06 J. Lim , C. M. Bösen , A. D. Somoza , C. P. Koch , M. B. Plenio , S. F. Huelga

Quantum spin networks form a generic system to describe a range of quantum devices for quantum information processing and sensing applications. Understanding how to control them is essential to achieve devices with practical…

Quantum Physics · Physics 2019-10-15 S. Schirmer , E. Jonckheere , S. O'Neil , F. C. Langbein

I revisit the ideas underlying dynamical decoupling methods within the framework of quantum information processing, and examine their potential for direct implementations in terms of encoded rather than physical degrees of freedom. The…

Quantum Physics · Physics 2009-11-07 Lorenza Viola

We discuss control of the quantum-transport properties of a mesoscopic device by connecting it in a coherent feedback loop with a quantum-mechanical controller. We work in a scattering approach and derive results for the combined scattering…

Mesoscale and Nanoscale Physics · Physics 2014-12-24 Clive Emary , John Gough

In various physical implementations of quantum information processing, qubits are realized in a Lambda type system configuration as two stable lower energy levels coupled indirectly via an unstable higher energy level, that is, in…

Quantum Physics · Physics 2025-11-11 Julia Cen , Domenico D'Alessandro

A major obstacle in the way of practical quantum computing is achieving scalable and robust high-fidelity entangling gates. To this end, quantum control has become an essential tool, as it can make the entangling interaction resilient to…

Quantum Physics · Physics 2022-10-05 Christophe H. Valahu , Iason Apostolatos , Sebastian Weidt , Winfried K. Hensinger

Inhomogeneity, in its many forms, appears frequently in practical physical systems. Readily apparent in quantum systems, inhomogeneity is caused by hardware imperfections, measurement inaccuracies, and environmental variations, and…

Optimization and Control · Mathematics 2011-02-21 Justin Ruths , Jr-Shin Li

We study how decoherence increases the efficiency with which we can simulate the quantum dynamics of an anharmonic oscillator, governed by the Kerr effect. As decoherence washes out the fine-grained subPlanck structure associated with…

Quantum Physics · Physics 2024-02-12 Tzula B. Propp , Sayonee Ray , John B. DeBrota , Tameem Albash , Ivan Deutsch

Recent advances in time-resolved cathodoluminescence have enabled ultrafast studies of single emitters in quantum materials with femtosecond temporal resolution. Here, we develop a quantum theory modeling the dynamics of free electrons…

Quantum Physics · Physics 2026-01-14 H. B. Crispin , N. Talebi

There is recently a surge of interest to cut down the time it takes to change the state of a quantum system adiabatically. We study for the time-dependent harmonic oscillator the transient energy excitation in speed-up processes designed to…

Quantum Physics · Physics 2010-11-08 Xi Chen , J. G. Muga

This paper presents several results on performance analysis for a class of uncertain linear quantum systems subject to either quadratic or non-quadratic perturbations in the system Hamiltonian. Also, coherent guaranteed cost controllers are…

Quantum Physics · Physics 2014-04-16 Chengdi Xiang , Ian R. Petersen , Daoyi Dong

Quantum sensing and quantum information processing use quantum advantages such as squeezed states that encode a quantity of interest with higher precision and generate quantum correlations to outperform classical methods. In harmonic…

Quantum Physics · Physics 2021-10-28 Mingjie Xin , Wui Seng Leong , Zilong Chen , Yu Wang , Shau-Yu Lan