• Topic Area
  • Subfield
  • Topic

Founda­ti­ons

Quantum founda­ti­ons explo­res the concep­tual and mathe­ma­ti­cal under­pin­nings of quantum theory, tackling puzzles like the measu­re­ment problem—the mystery of whether wavefunc­tions collapse or univer­ses branch. By defining the boundary between quantum and classi­cal logic, the field also clari­fies the roots of quantum advan­tage. This includes exami­ning quantum comple­xity and dequan­tiza­tion, which help us pinpoint exactly which quantum traits allow compu­ters to outper­form classi­cal ones.

 

 

Topics in the Subfield Founda­ti­ons

Select a topic within the subfield Founda­ti­ons

Quantum Comple­xity Theory (e.g. BQP)

This field classi­fies how diffi­cult compu­ta­tio­nal problems are for quantum compu­ters. It focuses on…

Dequan­tiza­tion (e.g. dynami­cal Lie algebra)

When an exponen­tial speedup over classi­cal methods is claimed for a quantum algorithm, resear­chers seek to deter­mine whether…

Measu­res and metrics for quantum advan­tage (e.g. magic, entan­gle­ment) and explainability

To demons­trate that a quantum compu­ter is “better” than classi­cal compu­ta­tio­nal methods, metrics such as…

Circuit cutting and circuit knitting

To execute a large program on limited hardware, circuit cutting and circuit knitting techni­ques are used, in which…

Quantum Tomogra­phy Methods

Quantum tomogra­phy methods are proce­du­res for recon­s­truc­ting the unknown state of a quantum system or the…

Quantum circuit design / quantum archi­tec­ture search

Instead of manually desig­ning quantum circuits, quantum archi­tec­ture search…

Classi­cal optimi­zers (e.g. quantum natural descent)

Even on quantum hardware, the “brain” that drives the optimiza­tion is typically…

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 Simula­tion of Quantum Systems

The quantum simula­tion of quantum systems focuses on the modeling of inter­ac­ting quantum mecha­ni­cal partic­les, where classi­cal methods, due to…

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…

Uncon­ven­tio­nal quantum compu­ting paradigms

Partners