04260nam a2200637 i 45000010014000000030004000140050017000180060019000350070015000540080041000690200025001100200024001350200025001590200027001840240035002110350025002460350022002710400040002930500030003330720016003630720023003791000043004022450076004452640098005213000071006193360021006903370026007113380032007374900027007694900034007965000043008305040041008735050126009145050093010405050143011335050138012765050093014145050224015075060075017315200497018065210075023035300029023785380036024075380078024435450627025215880059031486500033032076500035032406500071032756500049033467100054033957760049034498300031034988300034035298560059035639780750357449IOP20251030124830.0m    eo  d        cr cn |||m|||a241003s2024    enka   fob    000 0 eng d  a9780750357449qebook  a9780750357432qmobi  z9780750357425qprint  z9780750357456qmyPrint7 a10.1088/978-0-7503-5744-92doi  a(CaBNVSL)thg00083987  a(OCoLC)1456077004  aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC174.17.M35bD567 2024eb 7aPHQ2bicssc 7aSCI0570002bisacsh1 aDi Molfetta, Giuseppe,d1985-eauthor.1 aQuantum walks, limits, and transport equations /cGiuseppe Di Molfetta. 1aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :bIOP Publishing,c[2024]  a1 online resource (various pagings) :billustrations (some color).  atext2rdacontent  aelectronic2isbdmedia  aonline resource2rdacarrier1 a[IOP release $release]1 aIOP ebooks. [2024 collection]  a"Version: 20240901"--Title page verso.  aIncludes bibliographical references.  a1. Introduction -- 2. Elements of quantum theory -- 2.1. Reminders of linear algebra -- 2.2. Postulates of quantum theory8 a3. Fundamentals of quantum walks -- 3.1. Quantum walks -- 3.2. Higher-dimensional spaces8 a4. Continuous limits and plasticity in one dimension -- 4.1. Plastic quantum walk -- 4.2. Convergence -- 4.3. Discussion and open problems8 a5. Plasticity in 2D, transport equations and beyond -- 5.1. Higher spatial dimensions : the plane -- 5.2. Discussion and perspectives8 a6. Quantum walking over triangles -- 6.1. The model -- 6.2. Discussion and open problems8 a7. Simulating transport on curved surfaces -- 7.1. Mimicking curved transport on the grid -- 7.2. A quantum walk over a generic two-dimensional spatial triangulation -- 7.3. Discussion and perspectives -- 8. Conclusion.  aFull-text restricted to subscribers or individual document purchasers.3 aThis book provides an overview of quantum walks, limits, and transport equations. After an introduction to quantum computing, quantum simulation, and then symmetries, it then narrows down to describe quantum transport and quantum walks. It provides a review of the basics of quantum mechanics and the underlying mathematical framework. The fundamentals of quantum walks are described, followed by an overview of plastic quantum walks including limits, analysis, and interpretation of results.  aResearchers, post grad students, academia in studying quantum science.  aAlso available in print.  aMode of access: World Wide Web.  aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.  aGiuseppe Di Molfetta is an assistant professor at Aix-Marseille University, in the Natural Computing group at the Computer Science Lab, LIS. His research focuses on Quantum Walks-based architectures and Quantum Cellular Automata, with a special emphasis on quantum simulation of physical theories, quantum algorithms and discrete geometry. He has national (Marseille, Paris, Grenoble) and international collaborations (Brazil, Japan, Germany, UK), resulting in already 34 publications in high-impact international journals (e.g., Physical Review Letters, Quantum, Quantum Information Processing, Scientific Reports, etc.).  aTitle from PDF title page (viewed on October 3, 2024).  aQuantum theoryxMathematics.  aTransport theoryxMathematics. 7aQuantum physics (quantum mechanics & quantum field theory)2bicssc 7aSCIENCE / Physics / Quantum Theory.2bisacsh2 aInstitute of Physics (Great Britain),epublisher. 8iPrint version:z9780750357425z9780750357456 0aIOP (Series).pRelease 24.  aIOP ebooks.p2024 collection.4 uhttps://iopscience.iop.org/book/mono/978-0-7503-5744-9