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If the interaction between qubits in a quantum computer has a non-diagonal form (e.g. the Heisenberg interaction), then one must be able to "switch it off" in order to prevent uncontrolled propagation of states. Therefore, such QC schemes…

Quantum Physics · Physics 2013-05-29 Simon C. Benjamin

The objective of statistical physics is to understand macroscopic behavior of a many-body system from the interactions of the constituents of that system. When many-body systems reach critical states, simple universal and scaling behaviors…

Physics and Society · Physics 2022-01-26 Chin-Kun Hu

The question of controllability is investigated for a quantum control system in which the Hamiltonian operator components carry explicit time dependence which is not under the control of an external agent. We consider the general situation…

Quantum Physics · Physics 2009-11-10 Chunhua Lan , Tzyh-Jong Tarn , Quo-Shin Chi , John W. Clark

The universal quantum computer is a device capable of simulating any physical system and represents a major goal for the field of quantum information science. Algorithms performed on such a device are predicted to offer significant gains…

Quantum Physics · Physics 2010-01-04 D. Hanneke , J. P. Home , J. D. Jost , J. M. Amini , D. Leibfried , D. J. Wineland

This paper introduces a simple formalism for dealing with deterministic, non- deterministic and stochastic cellular automata in an unified and composable manner. This formalism allows for local probabilistic correlations, a feature which is…

Discrete Mathematics · Computer Science 2013-05-20 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

The paper proposes a simple formalism for dealing with deterministic, non-deterministic and stochastic cellular automata in a unifying and composable manner. Armed with this formalism, we extend the notion of intrinsic simulation between…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

We consider non-equilibrium time evolution after a quench of a global Hamiltonian parameter in systems described by Hamiltonians with local interactions. Within this background, we propose a protocol that allows to change global properties…

Statistical Mechanics · Physics 2016-02-16 Maurizio Fagotti

A network of locally interacting agents can be thought of as performing a distributed computation. But not all computations can be faithfully distributed. This paper investigates which global, linear transformations can be computed using…

Optimization and Control · Mathematics 2013-11-26 Zak Costello , Magnus Egerstedt

The study of factoring relations between subshifts or cellular automata is central in symbolic dynamics. Besides, a notion of intrinsic universality for cellular automata based on an operation of rescaling is receiving more and more…

Discrete Mathematics · Computer Science 2015-05-18 Laurent Boyer , Guillaume Theyssier

In this paper, motivated by the study of optimal control problems for infinite dimensional systems with endpoint state constraints, we introduce the notion of finite codimensional (exact/approximate) controllability. Some equivalent…

Optimization and Control · Mathematics 2018-10-03 Xu Liu , Qi Lü , Xu Zhang

We show that we can achieve global density-operator controllability for most N-dimensional bilinear Hamiltonian control systems with general fixed couplings using a single, locally-acting actuator that modulates one energy-level transition.…

Quantum Physics · Physics 2009-11-13 Sonia G. Schirmer , Ivan C. H. Pullen , Peter J. Pemberton-Ross

We give a one-dimensional quantum cellular automaton (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any one-dimensional QCA can be encoded within the initial…

Quantum Physics · Physics 2008-12-10 Pablo Arrighi , Renan Fargetton , Zizhu Wang

Microscale manipulation has advanced substantially in controlled locomotion and targeted transport, yet many biomedical applications require precise and adaptive interaction with biological micro-objects. At these scales, manipulation is…

Robotics · Computer Science 2026-04-14 Kangyi Lu , Lan Wei , Zongcai Tan , Dandan Zhang

This work proposes a control law for a manipulator with the aim of realizing desired time-varying motion-force profiles in the presence of a stiff environment. In many cases, the interaction with the environment affects only one degree of…

Robotics · Computer Science 2015-03-03 D. J. F. Heck , A. Saccon , N. van de Wouw , H. Nijmeijer

This paper investigates manipulability of interactive Lagrangian systems with parametric uncertainty and communication/sensing constraints. Two standard examples are teleoperation with a master-slave system and teaching operation of robots.…

Systems and Control · Computer Science 2021-12-09 Hanlei Wang

Humanoid robots could be versatile and intuitive human avatars that operate remotely in inaccessible places: the robot could reproduce in the remote location the movements of an operator equipped with a wearable motion capture device while…

Robotics · Computer Science 2022-03-29 Luigi Penco , Jean-Baptiste Mouret , Serena Ivaldi

Universal quantum computation is usually associated with interaction among two-level quantum subsystems, as this interaction is commonly viewed as a necessity to achieve universal quantum computation. In this work, we show that, contrary to…

Quantum Physics · Physics 2020-11-17 Zhu Cao

According to a fundamental result in quantum computing, any unitary transformation on a composite system can be generated using so-called 2-local unitaries that act only on two subsystems. Beyond its importance in quantum computing, this…

Quantum Physics · Physics 2024-08-15 Iman Marvian

Humans can exploit contacts anywhere on their body surface to manipulate large and heavy items, objects normally out of reach or multiple objects at once. However, such manipulation through contacts using the whole surface of the body…

Robotics · Computer Science 2025-03-17 Victor Leve , João Moura , Namiko Saito , Steve Tonneau , Sethu Vijayakumar

We discuss the role of classical control in the context of reversible quantum cellular automata. Employing the structure theorem for quantum cellular automata, we give a general construction scheme to turn an arbitrary cellular automaton…

Quantum Physics · Physics 2009-11-11 D. J. Shepherd , T. Franz , R. F. Werner
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