{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-3T68MQJH/9336cfff-8495-43e1-ada1-403a15e635ef/PDF","dcterms:extent":"331 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-3T68MQJH/f2c91949-38eb-4ca3-8f6c-07d729e260ef/TEXT","dcterms:extent":"0 KB"}],"edm:TimeSpan":{"@rdf:about":"2006-2026","edm:begin":{"@xml:lang":"en","#text":"2006"},"edm:end":{"@xml:lang":"en","#text":"2026"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-3T68MQJH","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/urn:nbn:si:spr-0y5dimiu"},{"@xml:lang":"sl","#text":"Elektrotehniški vestnik"}],"dcterms:issued":"2026","dc:creator":"Novak, Roman","dc:format":[{"@xml:lang":"sl","#text":"številka:3"},{"@xml:lang":"sl","#text":"letnik:93"},{"@xml:lang":"sl","#text":"str. 100-109"}],"dc:identifier":["ISSN:2232-3236","COBISSID_HOST:291438083","URN:URN:NBN:SI:doc-3T68MQJH"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Elektrotehniška zveza Slovenije"},"dc:subject":[{"@xml:lang":"sl","#text":"Elektromagnetno valovanje"},{"@xml:lang":"en","#text":"finite difference methods"},{"@xml:lang":"en","#text":"Hamiltonian simulation"},{"@xml:lang":"sl","#text":"kvadratna neomejena binarna optimizacija"},{"@xml:lang":"sl","#text":"kvantni algoritmi"},{"@xml:lang":"sl","#text":"kvantno ohlajanje"},{"@xml:lang":"sl","#text":"Kvantno računalništvo"},{"@xml:lang":"sl","#text":"metode končnih razlik"},{"@xml:lang":"en","#text":"numerical modeling"},{"@xml:lang":"sl","#text":"numerično modeliranje"},{"@xml:lang":"sl","#text":"parcialne diferencialne enačbe"},{"@xml:lang":"en","#text":"partial differential equations"},{"@xml:lang":"en","#text":"quadratic unconstrained binary optimization"},{"@xml:lang":"en","#text":"quantum algorithms"},{"@xml:lang":"en","#text":"quantum annealing"},{"@xml:lang":"sl","#text":"simulacija hamiltoniana"},{"@xml:lang":"sl","#text":"valovna, toplotna in Poissonova enačba"},{"@xml:lang":"en","#text":"wave, heat, and Poisson equations"}],"dcterms:temporal":{"@rdf:resource":"2006-2026"},"dc:title":{"@xml:lang":"sl","#text":"Kodiranje hamiltoniana v kvantni simulaciji razširjanja valovanja, difuzije in stacionarnih stanj|"},"dc:description":[{"@xml:lang":"sl","#text":"Quantum computing introduces a fundamentally new paradigm for simulating physical systems by leveraging superposition, entanglement, and interference to encode and manipulate information through the dynamics of quantum states. The application of quantum algorithms to simulate problems based on partial differential equations (PDEs) has made some progress, particularly through linear system solving; however, other potentially more promising methods remain comparatively underexplored. Here we investigate the suitability of selected PDEs for direct Hamiltonian mapping, examining when and how these equations can be naturally embedded into quantum dynamics. Our primary focus is on the wave equation, due to its significance for electromagnetic (EM) propagation modeling in communication systems. We further extend the Hamiltonian encoding to the heat and Poisson equations. Together, these equations model propagation, diffusion, and steady-state phenomena central to physics and engineering. We identify quantum-specific constraints that arise when mapping these equations to quantum systems. Energy non-conservation, realistic boundaries, and general inhomogeneous media pose challenges not present in classical numerical schemes, such as Yee’s finite-difference time-domain (FDTD) method. Understanding these limitations is essential for determining realistic application domains and for formulating conditions under which quantum simulation can provide an advantage"},{"@xml:lang":"sl","#text":"Kvantno računalništvo je temeljno nov pristop k simulaciji realnih pojavov z izkoriščanjem superpozicije, prepletenosti ter interference za kodiranje in obdelavo informacij na podlagi dinamike kvantnih stanj. Kvantni algoritmi za simulacijo problemov na osnovi parcialnih diferencialnih enačb (PDE) so že dosegli določen napredek, zlasti prek reševanja linearnih sistemov, vendar ostajajo drugi, potencialno obetavnejši pristopi razmeroma slabo raziskani. Namen prispevka je analizirati primernost izbranih PDE za neposredno preslikavo na Hamiltonov operator ter opredeliti, kdaj in kako je mogoče te enačbe naravno vključiti v kvantno dinamiko. Osrednji poudarek je na valovni enačbi zaradi njenega pomena za modeliranje razširjanja elektromagnetnih (EM) valov v komunikacijskih sistemih. Kodiranje hamiltoniana valovne enačbe razširimo tudi na toplotno in Poissonovo enačbo. Skupaj te enačbe modelirajo razširjanje valovanja, difuzijo in stacionarne pojave, ki so ključnega pomena v fiziki in inženirstvu. Identificiramo kvantno specifične omejitve, ki nastanejo pri preslikavi teh enačb v kvantne sisteme. Neohranjanje energije, realni robni pogoji in nehomogeni mediji so izzivi, ki jih v klasičnih numeričnih shemah, kot je Yeejeva metoda končnih razlik v časovni domeni (FDTD), ni. Razumevanje teh omejitev je ključno za določitev realnih področij uporabe in za oblikovanje pogojev, pod katerimi lahko kvantna simulacija prinese prednost"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:DOC-3T68MQJH","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-3T68MQJH"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-3T68MQJH/9336cfff-8495-43e1-ada1-403a15e635ef/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Elektrotehniška zveza Slovenije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-3T68MQJH/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-3T68MQJH"}}}}