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#REDIRECT [[Quantum complexity theory]] ...

* [[Computability theory]] * [[Computational complexity theory]] ...

...ican English|date=January 2019}}{{Short description|Sorting algorithms for quantum computers ...ting algorithm]] that runs on a [[quantum computer]]. Any comparison-based quantum sorting algorithm would take at least <math>\Omega(n \log n)</math> steps,< ...

* [[Quantum information processing]] * [[Quantum Innovation Platform]], a method for rapid innovation, research, and problem ...

**[[Algorithmic information theory]], study of relationships between computation and information **[[Algorithmic number theory]], algorithms for number-theoretic computation ...

This is a list of '''computability and complexity topics''', by Wikipedia page. ...s are, in quantitative terms, both with upper bounds ([[algorithm]]s whose complexity in the worst cases, as use of computing resources, can be estimated), and f ...

In [[computer science]] and [[quantum physics]], the '''Church–Turing–Deutsch principle''' ('''CTD principle''') ...ally obey the CTD principle, assuming that the laws of [[Quantum mechanics|quantum physics]] can completely describe every physical process. ...

{{Short description|Interdisciplinary theory behind quantum computing}}{{Quantum mechanics}}{{Information science}} ...subfield of quantum information science that deals with the processing of quantum information. ...

{{Short description|Calculation method in quantum chemistry}} ...o [[Hückel's rule]]&mdash;but were limited in their scope, application and complexity, as is the [[Extended Hückel method]]. ...

...ge]] ''B'' (or a [[complexity class]] ''B'') is said to be '''low''' for a complexity class ''A'' (with some reasonable relativized version of ''A'') if ''A''<s ...her are often called '''lowness''' results. The set of languages low for a complexity class ''A'' is denoted ''Low(A)''. ...

* [[Θ (set theory)]], the least ordinal α such that there is no surjection from the reals ont * [[Theta meson]], a hypothetical meson in quantum physics ...

| name = Programming the Universe: A Quantum Computer Scientist Takes On the Cosmos | subject = [[Quantum mechanics]], [[quantum computers]] ...

...xity subsets pspace.svg|thumb|right|A representation of the relation among complexity classes]] ...her computational and complexity subjects, see [[list of computability and complexity topics]]. ...

{{Short description|Model of quantum computation}} ...r scientist)|title=Revisiting the simulation of quantum Turing machines by quantum circuits|journal=Proceedings of the Royal Society A: Mathematical, Physical ...

...(complexity)|NP]], [[co-NP]], [[BPP (complexity)|BPP]], [[P/poly]], [[PH (complexity)|PH]], and PSPACE]] ...that can be solved by a [[Turing machine]] using a [[polynomial]] [[Space complexity|amount of space]]. ...

...ster.<ref>{{cite thesis |last=Ömer |first=Bernhard |date=2000-01-20 |title=Quantum Programming in QCL |url=http://tph.tuwien.ac.at/~oemer/doc/quprog.pdf |acce {{Further|Mathematical formulation of quantum mechanics#Description of the state of a system}} ...

...]], [[quantum computing]], [[computational geometry]], and [[computational theory]].<ref>{{Cite web |last=Szegedy |first=Mario |title=Szegedy, Mario |url=htt ...resulting data analysis was also recognized by the 2019 [[Paris Kanellakis Theory and Practice Award]].<ref>{{Cite web|url=https://awards.acm.org/about/2019- ...

A [[quantum computer]] (or [[quantum Turing machine]]) is another [[model of computation]] that is inherently [[ ...ocation=USA|page=368|isbn=978-0-534-95097-2|title-link=Introduction to the Theory of Computation}}</ref> ...

In [[computer science]], the '''computational complexity''' or simply '''complexity''' of an [[algorithm]] is the amount of resources required to run it.<ref>{ | contribution = Computational Complexity ...

{{Short description|Aspect of loop quantum gravity}} ...various hypothetical design models for the universe, multiverse, and loop quantum gravity could have various general covariant principle results. ...