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Related papers: Robustness of Quantum Systems Subject to Decoheren…

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Quantum decoherence, which appears when a system interacts with its environment in an irreversible way, plays a fundamental role in the description of quantum-to-classical transitions and has been successfully applied in some important…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Jieci Wang , Jiliang Jing

We consider the problem of optimizing the steady state of a dynamical system in closed loop. Conventionally, the design of feedback optimization control laws assumes that the system is stationary. However, in reality, the dynamics of the…

Optimization and Control · Mathematics 2020-05-11 Sandeep Menta , Adrian Hauswirth , Saverio Bolognani , Gabriela Hug , Florian Dörfler

Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of…

Control systems can show robustness to many events, like disturbances and model inaccuracies. It is natural to speculate that they are also robust to sporadic deadline misses when implemented as digital tasks on an embedded platform. This…

Optimization and Control · Mathematics 2022-08-31 Nils Vreman , Paolo Pazzaglia , Jie Wang , Victor Magron , Martina Maggio

It is commonly known that the dephasing in open quantum systems is due to the establishment of bipartite correlations with ambient environments, which are typically difficult to be fully characterized. Recently, a new approach of average…

Quantum Physics · Physics 2022-02-22 Hong-Bin Chen

The information in quantum computers is often stored in identical two-level systems (spins or pseudo-spins) that are separated by a distance shorter than the characteristic wavelength of a reservoir which is responsible for decoherence. In…

Quantum Physics · Physics 2016-09-08 Shoko Utsunomiya , Cyrus P. Master , Yoshihisa Yamamoto

A generalized strategy for the design of intelligent robust control systems based on quantum / soft computing technologies is described. The reliability of hybrid intelligent controllers increase by providing the ability to self-organize of…

Quantum Physics · Physics 2023-05-22 Sergey V. Ulyanov , Viktor S. Ulyanov , Takakhide Hagiwara

Artificial quantum systems with synthetic dimensions enable exploring novel quantum phenomena difficult to create in conventional materials. These synthetic degrees of freedom increase the system's dimensionality without altering its…

Quantum Physics · Physics 2025-08-11 Alexey Gorlach , Andrea Pizzi , Klaus Mølmer , Joseph Avron , Mordechai Segev , Ido Kaminer

Resource tradeoffs can often be established by solving an appropriate robust optimization problem for a variety of scenarios involving constraints on optimization variables and uncertainties. Using an approach based on sequential convex…

Quantum Physics · Physics 2013-12-17 Robert L. Kosut , Matthew D. Grace , Constantin Brif

Having spectral correlations that, over small enough energy scales, are described by random matrix theory is regarded as the most general defining feature of quantum chaotic systems as it applies in the many-body setting and away from any…

Statistical Mechanics · Physics 2024-09-02 Jonathon Riddell , Curt von Keyserlingk , Tomaž Prosen , Bruno Bertini

Critical quantum metrology relies on the extreme sensitivity of a system's eigenstates near the critical point of a quantum phase transition to Hamiltonian perturbations. This means that these eigenstates are extremely sensitive to all the…

Quantum Physics · Physics 2025-06-12 George Mihailescu , Steve Campbell , Karol Gietka

Universal quantum computation on decoherence-free subspaces and subsystems (DFSs) is examined with particular emphasis on using only physically relevant interactions. A necessary and sufficient condition for the existence of…

Quantum Physics · Physics 2009-11-06 Julia Kempe , Dave Bacon , Daniel A. Lidar , K. Birgitta Whaley

Methods of optimal control are applied to a model system of interacting two-level particles (e.g., spin-half atomic nuclei or electrons or two-level atoms) to produce high-fidelity quantum gates while simultaneously negating the detrimental…

The notion of symmetry is shown to be at the heart of all error correction/avoidance strategies for preserving quantum coherence of an open quantum system S e.g., a quantum computer. The existence of a non-trivial group of symmetries of the…

Quantum Physics · Physics 2007-05-23 P. Zanardi

Quantum control in large dimensional Hilbert spaces is essential for realizing the power of quantum information processing. For closed quantum systems the relevant input/output maps are unitary transformations, and the fundamental challenge…

Quantum Physics · Physics 2014-10-17 B. E. Anderson , H. Sosa-Martinez , C. A. Riofrío , I. H. Deutsch , P. S. Jessen

Non-locality consists in the existence of non-classical correlations between local measurements. So far, it has been investigated mostly in isolated quantum systems. Here we show that non-local correlations are present, can be detected and…

Quantum Physics · Physics 2022-09-01 Carlo Marconi , Andreu Riera-Campeny , Anna Sanpera , Albert Aloy

This paper is concerned with open quantum systems whose dynamic variables have an algebraic structure, similar to that of the Pauli matrices for finite-level systems. The Hamiltonian and the operators of coupling of the system to the…

Quantum Physics · Physics 2023-11-07 Igor G. Vladimirov , Ian R. Petersen

A desirable property of control systems is to be robust to inputs, that is small perturbations of the inputs of a system will cause only small perturbations on its outputs. But it is not clear whether this property is maintained at the…

Software Engineering · Computer Science 2013-09-17 Eric Goubault , Sylvie Putot

We show that for any finite-dimensional quantum systems the conserved quantities can be characterized by their robustness to small perturbations: for fragile symmetries small perturbations can lead to large deviations over long times, while…

Quantum Physics · Physics 2021-04-14 Daniel Burgarth , Paolo Facchi , Hiromichi Nakazato , Saverio Pascazio , Kazuya Yuasa

We study quantum enhancement of transport in open systems in the presence of disorder and dephasing. Quantum coherence effects may significantly enhance transport in open systems even in the deep classical regime (where the decoherence rate…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Yang Zhang , G. Luca Celardo , Fausto Borgonovi , Lev Kaplan