A topological quantum computer is a theoretical quantum computer proposed by Russian-American physicist Alexei Kitaev in 1997. It employs quasiparticles...

to topological field theory. In condensed matter physics, topological quantum field theories are the low-energy effective theories of topologically ordered...

A quantum computer is a computer that takes advantage of quantum mechanical phenomena. On small scales, physical matter exhibits properties of both particles...

efficiently solvable by a quantum computer (with bounded error). Witten had shown that the Chern-Simons topological quantum field theory (TQFT) can be...

to fault-tolerant quantum computation. Topological insulators and topological superconductors (beyond 1D) do not have topological order as defined above...

about specific physics problems. Quantum simulators may be contrasted with generally programmable "digital" quantum computers, which would be capable of solving...

A quantum Turing machine (QTM) or universal quantum computer is an abstract machine used to model the effects of a quantum computer. It provides a simple...

quantum computers depend on a comprehensive understanding of quantum physics and engineering. Google and IBM have invested significantly in quantum computer...

error rates were achieved. A quantum computer employing Von Neumann architecture was described. A quantum spin Hall topological insulator was reported. The...

intrinsic topological insulator behavior in actual experiments. Topological order Topological quantum computer Topological quantum field theory Topological quantum...

A trapped-ion quantum computer is one proposed approach to a large-scale quantum computer. Ions, or charged atomic particles, can be confined and suspended...

A newer idea is Alexei Kitaev's topological quantum codes and the more general idea of a topological quantum computer. Todd Brun, Igor Devetak, and Min-Hsiu...

The behaviour of topological automata is studied in the field of topological dynamics. The quantum automaton differs from the topological automaton in that...

In quantum computing, quantum supremacy or quantum advantage is the goal of demonstrating that a programmable quantum computer can solve a problem that...

topics include topological phases of matter, high-temperature superconductivity, quantum Hall effect, and periodically driven quantum systems. Nayak was...

The spin qubit quantum computer is a quantum computer based on controlling the spin of charge carriers (electrons and electron holes) in semiconductor...

quantum computer, i.e. quantum-enhanced machine learning. While machine learning algorithms are used to compute immense quantities of data, quantum machine...

atom quantum computer is a modality of quantum computers built out of Rydberg atoms; this modality has many commonalities with trapped-ion quantum computers...

was discovered by Don Coppersmith. The quantum Fourier transform can be performed efficiently on a quantum computer with a decomposition into the product...

Feynman used an early version of the quantum circuit notation in 1986. Most elementary logic gates of a classical computer are not reversible. Thus, for instance...

Adiabatic quantum computation (AQC) is a form of quantum computing which relies on the adiabatic theorem to perform calculations and is closely related...

that are thought to be secure against a cryptanalytic attack by a quantum computer. The problem with popular algorithms currently used in the market is...

variable Topological defect – Type of structure in physical fields Topological quantum computing – Hypothetical fault-tolerant quantum computer based on...

as parameterised quantum circuits that can solve NLP tasks faster than any classical computer. It is inspired by categorical quantum mechanics and the...

which partly emerged from quantum optics, partly from theoretical computer science. Today's fields of interest among quantum optics researchers include...

A quantum sort is any sorting algorithm that runs on a quantum computer. Any comparison-based quantum sorting algorithm would take at least Ω ( n log...

computing power. In August 2020, quantum engineers working for Google reported the largest chemical simulation on a quantum computer – a Hartree–Fock approximation...

QuTech, a Dutch center to develop a topological quantum computer. In 2016, the European Union introduced the Quantum Technology Flagship, a €1 Billion,...

The Kane quantum computer is a proposal for a scalable quantum computer proposed by Bruce Kane in 1998, who was then at the University of New South Wales...

both classical computers and quantum computers to find the ground state of a given physical system. Given a guess or ansatz, the quantum processor calculates...