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We propose a scheme to perform basic gates of quantum computing and prepare entangled states in a system with cold trapped ions located in a single mode optical cavity. General quantum computing can be made with both motional state of the…

Quantum Physics · Physics 2009-11-07 Mang Feng , Xiaoguang Wang

Continuous-time quantum walk is one of the alternative approaches to quantum computation, where a universal set of quantum gates can be achieved by scattering a quantum walker on some specially-designed structures embedded in a sparse graph…

Quantum Physics · Physics 2023-05-11 Fan Wang , Bin Cheng , Zi-Wei Cui , Man-Hong Yung

The mapping of photonic states to collective excitations of atomic ensembles is a powerful tool which finds a useful application in the realization of quantum memories and quantum repeaters. In this work we show that cold atoms in optical…

Quantum Physics · Physics 2013-05-29 Christine A. Muschik , Ines de Vega , Diego Porras , J. Ignacio Cirac

We apply quantum trajectory techniques to analyze a realistic set-up of a superconducting qubit coupled to a heat bath formed by a resistor, a system that yields explicit expressions of the relevant transition rates to be used in the…

Quantum Physics · Physics 2020-05-06 Bayan Karimi , Jukka P. Pekola

Increasing control of single photons enables new applications of photonic quantum-enhanced technology and further experimental exploration of fundamental quantum phenomena. Here, we demonstrate quantum logic using narrow linewidth photons…

We survey the equations of continuous-time quantum walks on simple one-dimensional lattices, which include the finite and infinite lines and the finite cycle, and compare them with the classical continuous-time Markov chains. The focus of…

Other Condensed Matter · Physics 2007-05-23 D. ben-Avraham , E. Bollt , C. Tamon

We study quantum walk on a ladder with combination of conventional and split-step protocols. The two components of the walk resulting from periodic boundary conditions can be made to have three kinds of probability distributions. Two of…

Quantum Physics · Physics 2020-12-29 Hira Ali , M. Naeem Shahid

Quantum walks are the quantum-mechanical analog of random walks, in which a quantum `walker' evolves between initial and final states by traversing the edges of a graph, either in discrete steps from node to node or via continuous evolution…

Quantum Physics · Physics 2015-05-19 Michael S. Underwood , David L. Feder

We propose a robust and efficient way to store and transport quantum information via one-dimensional discrete time quantum walks. We show how to attain an effective dispersionless wave packet evolution using only two types of local unitary…

Quantum Physics · Physics 2021-09-30 Rafael Vieira , Gustavo Rigolin , Edgard P. M. Amorim

We propose a scheme for performing quantum simulations with atoms in cavities based on a photon detection feedback loop that requires only linear optical elements. Atoms can be stored individually without the need of directly interacting…

Quantum Physics · Physics 2009-11-13 K. G. H. Vollbrecht , J. I. Cirac

In this paper, we introduce a quantum walk whose local scattering at each vertex is denoted by a unitary circulant matrix; namely the circulant quantum walk. We also introduce another quantum walk induced by the circulant quantum walk;…

Quantum Physics · Physics 2022-08-17 Yusuke Mizutani , Etsuo Segawa , Yusuke Higuchi , Leo Matsuoka , Tomoyuki Horikiri

We discuss the trapping of cold atoms within microscopic voids drilled perpendicularly through the axis of an optical waveguide. The dimensions of the voids considered are between 1 and 40 optical wavelengths. By simulating light…

Atomic Physics · Physics 2019-05-30 N Cooper , C Briddon , E Da Ros , V Naniyil , M Greenaway , L Hackermueller

Recently, quantized versions of random walks have been explored as effective elements for quantum algorithms. In the simplest case of one dimension, the theory has remained divided into the discrete-time quantum walk and the continuous-time…

Quantum Physics · Physics 2009-11-13 Frederick W. Strauch

A novel bulk optics scheme for quantum walks is presented. It consists of a one-dimensional lattice built on two concatenated displaced Sagnac interferometers that make it possible to reproduce all the possible trajectories of an optical…

Quantum Physics · Physics 2019-01-31 Andrea Geraldi , Luís Diego Bonavena , Carlo Liorni , Paolo Mataloni , Álvaro Cuevas

Photons can carry spin angular momentum (SAM) and orbital angular momentum (OAM), which can be used to realize a qubit system and a high-dimension system respectively. This spin-orbital system is very suitable for implementing…

Quantum Physics · Physics 2010-05-20 Pei Zhang , Bi-Heng Liu , Rui-Feng Liu , Hong-Rong Li , Fu-Li Li , Guang-Can Guo

We investigate continuous-time quantum walks of two indistinguishable particles (bosons, fermions or hard-core bosons) in one-dimensional lattices with nearest-neighbour interactions. The two interacting particles can undergo independent-…

Quantum Physics · Physics 2014-02-17 Xizhou Qin , Yongguan Ke , Xiwen Guan , Zhibing Li , Natan Andrei , Chaohong Lee

We propose categories of $1$-dimensional and multi-dimensional quantum walks. In the categories, an object is a quantum walk, and a morphism is an intertwining operator between two quantum walks. The new framework enables us to discuss…

Mathematical Physics · Physics 2020-03-31 Hiroki Sako

We present an implementation scheme for a quantum walk in the orbital angular momentum space of a laser beam. The scheme makes use of a ring interferometer, containing a quarter-wave plate and a q plate. This setup enables one to perform an…

Quantum Physics · Physics 2013-07-09 Sandeep K Goyal , Filippus S Roux , Andrew Forbes , Thomas Konrad

Quantum random walks have been much studied recently, largely due to their highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the discrete quantum random walk on the line: the use of multiple…

Quantum Physics · Physics 2009-11-07 Todd A. Brun , Hilary A. Carteret , Andris Ambainis

In this paper, we investigate mechanical motion of ultra-slow single atoms considering each atom is coherently coupled to a traveling-wave light. The main noise in this system is originated from Doppler broadening due to the continuous…

Quantum Physics · Physics 2023-03-29 Wenxi Lai