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- ...gate transpose]] ([[Hermitian adjoint|adjoint]]) versions of some of these gates may not be listed. These gates can be extended to any number of [[qubit]]s or [[Qubit#Qudits and qutrits|q ...47 KB (6,344 words) - 22:01, 22 February 2025
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- {{Short description|Digital logic gate}} The '''IMPLY gate''' is an informal digital [[logic gate]] that implements a [[logical conditional]]. ...2 KB (267 words) - 12:15, 31 July 2024
- ..._(mathematics)#Duality_in_logic_and_set_theory|dual]] to [[AND-OR-invert]] gates. OR-AND-invert gates implement the inverted [[product of sums]]. <math>n</math> groups of <math> ...4 KB (501 words) - 07:56, 10 April 2024
- {{Short description|Digital logic gate}} The '''NIMPLY gate''' is a digital [[logic gate]] that implements a [[material nonimplication]]. ...2 KB (196 words) - 09:38, 31 July 2023
- {{Short description|Logic gate type}} ...The complement of AOI logic is [[OR-AND-invert]] (OAI) logic, where the OR gates precede a NAND gate.<ref>[https://dyclassroom.com/boolean-algebra/product-o ...10 KB (1,474 words) - 14:10, 9 February 2025
- ...tion gates. The values in an integer circuit are sets of integers and the gates compute set union, set intersection, and set complement, as well as the ari The vertices of the graph are called ''gates''. For each gate <math>g</math> of [[in-degree]] <math>i</math>, the gate < ...5 KB (857 words) - 09:35, 4 February 2025
- ...uit measurement-commute.svg|thumb|Two equivalent [[quantum circuit|quantum logic circuits]]. One where measurement happens first, and one where an operation ...l if the 1-qubit [[quantum logic gate#X|X]] and [[quantum logic gate#Z|Z]] gates are executed, allowing teleportation.<ref>{{Cite book|title=Quantum Computa ...3 KB (462 words) - 20:31, 6 February 2024
- ...ng unbounded fan-in [[AND gate|AND]], [[OR gate|OR]], and [[NOT gate|NOT]] gates.<ref name="Watts-Kothari-Schaeffer-Tal_2019" /> ...it state, the circuit has [[Quantum_logic_gate#Controlled gates|controlled gates]] which implement ...4 KB (623 words) - 22:29, 12 March 2024
- ...mation''', takes as input an arbitrary [[Combinational logic|combinatorial logic]] circuit and produces an [[equisatisfiable]] boolean formula in [[conjunct ...original literals or the introduced variables representing outputs of sub-gates. ...12 KB (1,849 words) - 12:14, 24 May 2024
- ...matician known for her research in [[representation theory]] and [[quantum logic gate]]s. Formerly a professor of mathematics at [[Pennsylvania State Univer ...izing [[Quantum logic gate#Universal quantum gates|universal quantum logic gates]].{{r|zkg}}{{ran|UQG}} ...6 KB (719 words) - 06:57, 15 October 2024
- ...v | first2=Alexei|title =Universal quantum computation with ideal Clifford gates and noisy ancillas|year = 2005 |journal=[[Physical Review A]] |volume=71 |i ...is universal for quantum computation, magic states combined with Clifford gates are also universal. ...7 KB (855 words) - 20:23, 5 November 2024
- {{Short description|Quantum logic gate}} ...lementation of the [[Controlled NOT gate|controlled-NOT]] (CNOT) [[quantum logic gate]] using [[ion trap|cold trapped ions]] that was proposed by [[Juan Ign ...8 KB (1,205 words) - 19:56, 13 June 2024
- ...quantum computers with imperfect gates can only apply a constant number of gates before the computation is destroyed by noise. ...arily good precision, with only some small added overhead in the number of gates. The formal statement of the threshold theorem depends on the types of erro ...9 KB (1,248 words) - 22:27, 4 May 2024
- ...The satisfiability of a circuit containing <math>m</math> arbitrary binary gates can be decided in time <math>O(2^{0.4058m})</math>.<ref>{{cite web|url=http ...to every variable and a gate corresponding to every operator. Connect the gates according to the 3SAT formula. For instance, if the 3SAT formula is <math>( ...9 KB (1,384 words) - 07:50, 30 April 2024
- ...> a fixed but arbitrary list of static gates ([[Quantum logic gate|quantum gates]] that do not depend on parameters, like the [[Hadamard gate]].) * <math>G'</math> a fixed but arbitrary list of parametric gates (gates that depend on a number of [[Complex number|complex]] parameters like the [ ...8 KB (1,078 words) - 16:52, 28 December 2024
- ...ete]] set of [[Quantum logic gate|gates]] <math> U</math> (e.g. [[Clifford gates]]), a set of <math>M</math> [[observable]]s <math>\{O_{i}\}</math> and a [[ ...5 KB (745 words) - 19:43, 9 December 2023
- ...the classical discrete Fourier transform, which takes <math>O(n2^n)</math> gates (where <math>n</math> is the number of bits), which is exponentially more t ...uantum logic gate#Controlled gates|controlled]] [[Quantum gate#Phase shift gates|phase gate]] is implemented as a native operation.<ref>{{Cite book |last1=H ...20 KB (3,143 words) - 16:43, 25 February 2025
- ...e Future of Understanding |url=https://writings.stephenwolfram.com/2018/11/logic-explainability-and-the-future-of-understanding/ |website=Stephen Worfram Wr ...|first=E. V. |title=New Sets of Independent Postulates for the Algebra of Logic, with Special Reference to Whitehead and Russell's ''Principia Mathematica' ...7 KB (948 words) - 03:50, 24 January 2025
- # A "[[Quantum logic gate#Universal quantum gates|universal]]" set of [[quantum gate]]s ...erence. Long decoherence times are desired, much longer than the average [[Logic gate|gate]] time, so that decoherence can be combated with error correction ...14 KB (2,014 words) - 22:57, 15 November 2024
- ...n be used to approximate any desired quantum gate with a short sequence of gates that can also be found efficiently. This theorem is considered one of the m ...y justifying that quantum computers need only implement a finite number of gates to gain the full power of quantum computation. ...17 KB (2,745 words) - 01:22, 21 November 2024
- ...der is a better choice than a [[priority encoder]], since it requires less logic to implement. However, a simple encoder can generate an incorrect output wh ...an be compared to a [[multiplexer]]. Only one of the inputs become "high" (logic state "1") at a time. ...6 KB (741 words) - 09:46, 21 December 2024