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Quantum walks have emerged as an interesting approach to quantum information processing, exhibiting many unique properties compared to the analogous classical random walk. Here we introduce a model for a discrete-time quantum walk with…

Quantum Physics · Physics 2013-05-08 Peter P. Rohde , Gavin K. Brennen , Alexei Gilchrist

Living organisms are not just random collections of organic molecules. There is continuous information processing going on in the apparent bouncing around of molecules of life. Optimisation criteria in this information processing can be…

Quantum Physics · Physics 2007-05-23 Apoorva Patel

We discuss a particular kind of quantum walk on a general graph. We affix two semi-infinite lines to a general finite graph, which we call tails. On the tails, the particle making the walk simply advances one unit at each time step, so that…

Quantum Physics · Physics 2009-07-15 Edgar Feldman , Mark Hillery

As a step in the architectural design of a quantum processing or sensing system with control and signaling, an attempt is made at putting in parallel functional properties of the random flows between neurons through electrical synapses, and…

Emerging Technologies · Computer Science 2025-08-05 L-F Pau

The ubiquity of optical communications is due in large part to the advent of the optical fibre, which allows for flexible and efficient routing of light-encoded information. Used as serial channels, single fibres have also been shown to be…

Quantum Physics · Physics 2018-08-23 J. Hordell , D. Benedicto-Orenes , P. G. Petrov , A. U. Kowalczyk , G. Barontini , V. Boyer

Many cellular networks rely on the regulated transport of their components to transduce extracellular information into precise intracellular signals. The dynamics of these networks is typically described in terms of compartmentalized…

Subcellular Processes · Quantitative Biology 2011-11-18 Jose M. G. Vilar , Leonor Saiz

Discrete quantum walks are dynamical protocols for controlling a single quantum particle. Despite of its simplicity, quantum walks display rich topological phenomena and provide one of the simplest systems to study and understand…

Quantum Physics · Physics 2011-12-09 Takuya Kitagawa

This paper deals with temporal enzyme distribution in the activation of biochemical pathways. Pathway activation arises when production of a certain biomolecule is required due to changing environmental conditions. Under the premise that…

Quantitative Methods · Quantitative Biology 2008-01-17 Diego Oyarzún , Brian Ingalls , Richard Middleton , Dimitrios Kalamatianos

All living systems can function only far away from equilibrium, and for this reason chemical kinetic methods are critically important for uncovering the mechanisms of biological processes. Here we present a new theoretical method of…

Subcellular Processes · Quantitative Biology 2018-04-27 Maria P. Kochugaeva , Alexey A. Shvets , Anatoly B. Kolomeisky

We study a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combining open quantum random walks with a notion of recurrence, we…

Mathematical Physics · Physics 2015-06-26 Carlos F. Lardizabal , Rafael R. Souza

Active cellular transport is a fundamental mechanism for protein and vesicle delivery, cell cycle and molecular degradation. Viruses can hijack the transport system and use it to reach the nucleus. Most transport processes consist of…

Quantitative Methods · Quantitative Biology 2009-11-13 T. Lagache , D. Holcman

Quantum transducers play a crucial role in hybrid quantum networks. A good quantum transducer can faithfully convert quantum signals from one mode to another with minimum decoherence. Most investigations of quantum transduction are based on…

Quantum Physics · Physics 2018-01-17 Mengzhen Zhang , Chang-Ling Zou , Liang Jiang

In this paper, we study quantum walks on the extension of association schemes. Various state transfers can be achieved on these graphs, such as multiple state transfer among extreme points of a simplex, fractional revival on subsimplexes.…

Quantum Physics · Physics 2023-07-28 Hiroshi Miki , Satoshi Tsujimoto , Da Zhao

Quantum physics is known to allow for completely new ways to create, manipulate and store information. Quantum communication - the ability to transmit quantum information - is a primitive necessary for any quantum internet. At its core,…

Quantum Physics · Physics 2013-06-19 W. J. Munro , A. M. Stephens , S. J. Devitt , K. A. Harrison , Kae Nemoto

The quantum teleportation protocol can be used to probabilistically simulate a quantum circuit with backward-in-time connections. This allows us to analyze some conceptual problems of time travel in the context of physically realizable…

Quantum Physics · Physics 2012-03-06 George Svetlichny

Understanding large molecular networks consisting of entities such as genes, proteins or RNAs that interact in complex ways to drive the cellular machinery has been an active focus of systems biology. Computational approaches have played a…

Molecular Networks · Quantitative Biology 2013-04-23 Sriganesh Srihari , Mark A. Ragan

The ability of quantum walks to evolve in a superposition of distinct quantum states has been used as a resource in quantum communication protocols. Under certain settings, the $k$-cycle discrete-time quantum walks\,(DTQW) are known to…

Quantum Physics · Physics 2023-02-15 Sanjeet Swaroop Panda , P. A. Ameen Yasir , C. M. Chandrashekar

Teleportation may be taken as sending and extracting quantum information through quantum channels. In this report, it is shown that to get the maximal probability of exact teleportation through partially entangled quantum channels, the…

Quantum Physics · Physics 2009-10-31 Wan-Li Li , Chuan-Feng Li , Guang-Can Guo

Discrete time quantum walks are known to be universal for quantum computation. This has been proven by showing that they can simulate a universal quantum gate set. In this paper, we examine computation by quantum walks in terms of language…

Formal Languages and Automata Theory · Computer Science 2014-08-04 Katie Barr , Viv Kendon

A quantum network, which involves multiple parties pinging each other with quantum messages, could revolutionize communication, computing and basic sciences. The future internet will be a global system of various packet switching quantum…

Quantum Physics · Physics 2022-02-23 Nengkun Yu , Ching-Yi Lai , Li Zhou
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