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Quantum Simula­tion of Quantum Systems

Quantum simula­tion of quantum systems focuses on modeling the behavior of inter­ac­ting quantum partic­les, where classi­cal methods quickly reach their limits. The chall­enge arises from the exponen­tial growth of the Hilbert space and the resul­ting comple­xity of stron­gly corre­la­ted systems. Quantum compu­ters address this by directly repre­sen­ting quantum states and their evolu­tion, enabling the simula­tion of both static proper­ties (e.g., ground states) and dynamic proces­ses (e.g., time evolu­tion). Approa­ches range from varia­tio­nal methods and analog simula­tion to fault-tolerant algorithms for precise eigenva­lue and dynamics estima­tion. This capabi­lity is parti­cu­larly relevant for appli­ca­ti­ons in chemis­try, materi­als science, and conden­sed matter physics, where accurate predic­tions of electro­nic struc­ture and dynamics are essen­tial. Quantum simula­tion is there­fore conside­red one of the most promi­sing pathways to achie­ving practi­cal quantum advantage.

Topics in the Subfield Quantum Simula­tion of Quantum Systems

Select a topic within the subfield Quantum Simula­tion of Quantum Systems

Cytochrome P450

The cytochrome P450 enzyme family plays a central role in the metabo­lism of pharmaceu­ti­cal compounds. However, the accurate predic­tion of these reactions remains a…

Nuclear magne­tic resonance spectro­scopy (NMR spectroscopy)

NMR spectro­scopy is funda­men­tally a time domain experi­ment. A spin system is excited by a pulse, after which the magne­tiza­tion evolves…

Dynamic proper­ties and time depen­dent behavior

Many important physi­cal and chemi­cal proces­ses, such as laser driven molecu­lar dynamics, spin depha­sing in NMR, or exciton split­ting in singlet fission, require…

Static proper­ties and time indepen­dent behavior

The calcu­la­tion of ground state and excited state energies of molecu­les and materi­als is a central problem in quantum chemis­try and materi­als science, as…

Varia­tio­nal methods (e.g. VQE, VBE, VarQITE)

The Varia­tio­nal Quantum Eigen­sol­ver (VQE) is the founda­tio­nal NISQ algorithm for deter­mi­ning ground state energies. In this approach, a…

Fault tolerant algorithms and Trotte­riza­tion methods like QSVT and QITE

A central prere­qui­site for many fault tolerant quantum chemis­try algorithms is so called block encoding. In this approach, a…

More selected Quantum Compu­ting Software:

Select a subfield within Quantum Compu­ting Software

Software for quantum compu­ting hardware

Software for quantum compu­ting hardware forms the layer between high level algorithms and physi­cal qubits. At the top of the stack…

Quantum machine learning

Quantum machine learning (QML) explo­res how quantum compu­ters can enhance or extend data driven models. Classi­cal machine learning repres­ents data as sequen­ces of bits and…

Quantum Optimiza­tion

Quantum optimiza­tion explo­res how quantum compu­ters can be used to solve complex optimiza­tion problems more effici­ently. Classi­cal optimiza­tion often formu­la­tes such problems as…

Quantum error correction

Quantum Error Correc­tion (QEC) provi­des the archi­tec­tu­ral founda­tion for relia­ble quantum compu­ting, as it addres­ses the…

Crypto­gra­phy

Today’s widely used encryp­tion methods, which secure the vast majority of inter­net traffic, are based on the…

Quantum software engineering

Quantum Service Enginee­ring refers to the appli­ca­tion of service orien­ted enginee­ring princi­ples, methods, and tools to the design, imple­men­ta­tion, and delivery of quantum compu­ting capabi­li­ties as…

Founda­ti­ons

Quantum theory raises concep­tual and mathe­ma­ti­cal questi­ons, including…

Uncon­ven­tio­nal quantum compu­ting paradigms

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