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We describe a simple experimental apparatus which allows one to observe the wave properties of light in a new way. This apparatus also makes possible to introduce and illustrate, in a very suggestive way, some fundamental principles of…

Physics Education · Physics 2018-03-28 Fabrizio Logiurato , Beniamino Danese , Luigi Gratton , Stefano Oss

A surprising feature of the Kerr metric is the anisotropy of the speed of light. The angular momentum of a rotating massive object causes co- and counter-propagating light paths to move at faster and slower velocities, respectively as…

General Relativity and Quantum Cosmology · Physics 2019-06-14 Sebastian P. Kish , Timothy C. Ralph

In quantum metrology, one of the major applications of quantum technologies, the ultimate precision of estimating an unknown parameter is often stated in terms of the Cram\'er-Rao bound. Yet, the latter is no longer guaranteed to carry an…

We generalise our previous results of universal linear manipulations [Phys. Rev. A63, 032304 (2001)] to investigate three types of nonlinear qubit transformations using measurement and quantum based schemes. Firstly, nonlinear rotations are…

Quantum Physics · Physics 2009-11-07 Lucien Hardy , David D. Song

The application of high-dimensional quantum systems (qudits) in quantum computing and communications seems to be a promising avenue due to the possibility of increasing the amount of information encoded in one physical carrier. In this…

Quantum Physics · Physics 2022-01-26 E. A. Vashukevich , T. Yu. Golubeva , Yu. M. Golubev

Adopting quantum resources for parameter estimation discloses the possibility to realize quantum sensors operating at a sensitivity beyond the standard quantum limit. Such approach promises to reach the fundamental Heisenberg scaling as a…

The possibility to coherently control a quantum rotor is investigated theoretically. The rotor is realized by an antiferromagnetic spin-1 Bose-Einstein condensate, trapped in the optical field of a Fabry-Perot resonator. By tuning the…

Quantum Physics · Physics 2013-03-15 Lukas F. Buchmann , H. Jing , C. Raman , P. Meystre

In this paper we present a search algorithm that finds useful optical quantum states which can be created with current technology. We apply the algorithm to the field of quantum metrology with the goal of finding states that can measure a…

Quantum Physics · Physics 2016-08-03 P. A. Knott

A scheme for creating NOON-states of the quasi-momentum of ultra-cold atoms has recently been proposed [New J. Phys. 8, 180 (2006)]. This was achieved by trapping the atoms in an optical lattice in a ring configuration and rotating the…

Quantum Physics · Physics 2015-05-13 David W. Hallwood , Adam Stokes , Jessica J. Cooper , Jacob Dunningham

The orbital angular momentum (OAM) of photons provides a pivotal resource for carrying out high-dimensional classical and quantum information processing due to its unique discrete high-dimensional nature. The cyclic transformation of a set…

Quantum Physics · Physics 2024-04-24 Y. F. Yang , M. Y. Chen , F. P. Li , Y. P. Ruan , Z. X. Li , M. Xiao , H. Zhang , K. Y. Xia

The transform considered in the paper integrates a function supported in the unit disk on the plane over all circles centered at the boundary of this disk. Such circular Radon transform arises in several contemporary imaging techniques, as…

General Mathematics · Mathematics 2007-05-23 Gaik Ambartsoumian , Peter Kuchment

The Cram\'er-Rao bound captures completely the performance of single-parameter quantum sensors. On the other hand, its extension to multiple parameters demands more caution. Different aspects need to be captured at once, including,…

Quantum Physics · Physics 2026-01-14 Jayanth Jayakumar , Marco Barbieri , Magdalena Stobińska

Optical fluorescence imaging is capable of measuring both the spatial and rotational dynamics of single molecules. However, unavoidable measurement noise will result in inaccurate estimates of rotational dynamics, causing a molecule to…

Optics · Physics 2019-05-22 Oumeng Zhang , Matthew D. Lew

We study the interaction of a light beams carrying angular momentum with a single, trapped and well localized ion. We provide a detailed calculation of selection rules and excitation probabilities for quadrupole transitions. The results…

Atomic Physics · Physics 2012-04-24 Christian Tomás Schmiegelow , Ferdinand Schmidt-Kaler

Using conditional measurement on a beam splitter, we study the transformation of the quantum state of the signal mode within the concept of two-port non-unitary transformation. Allowing for arbitrary quantum states of both the input…

Quantum Physics · Physics 2009-10-31 J. Clausen , M. Dakna , L. Knoll , D. -G. Welsch

We present a quantum circuit that transforms an unknown three-qubit state into its canonical form, up to relative phases, given many copies of the original state. The circuit is made of three single-qubit parametrized quantum gates, and the…

It has been known for a century that electromagnetic fields can transport not only energy and linear momentum but also angular momentum. However, it was not until twenty years ago, with the discovery in laser optics of experimental…

Instrumentation and Methods for Astrophysics · Physics 2011-02-01 Bo Thidé , Fabrizio Tamburini , Elettra Mari , Filippo Romanato , Cesare Barbieri

We present a motion planning algorithm for a class of uncertain control-affine nonlinear systems which guarantees runtime safety and goal reachability when using high-dimensional sensor measurements (e.g., RGB-D images) and a learned…

Robotics · Computer Science 2022-08-25 Glen Chou , Necmiye Ozay , Dmitry Berenson

Inspired by the classical phenomenon of random walk, the concept of quantum walk has emerged recently as a powerful platform for the dynamical simulation of complex quantum systems, entanglement production and universal quantum computation.…

Quantum sensors represent a new generation of sensors with improved precision, accuracy, stability, and robustness to environmental effects compared to their classical predecessors. After decades of laboratory development, several types of…