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The quantum speed limit bounds establish an upper bound at which computation can be performed. Computational machinery is constructed out of physical matter that follows quantum mechanics, and each operation, if it is to be unambiguous, must be a transition of the system from one state to an orthogonal state.
Scott Aaronson suggests the following 12 references as further reading (out of "the 10 10 5000 quantum algorithm ... page PDF document. ... at Quantum Speed with ...
The hidden subgroup problem is especially important in the theory of quantum computing for the following reasons.. Shor's algorithm for factoring and for finding discrete logarithms (as well as several of its extensions) relies on the ability of quantum computers to solve the HSP for finite abelian groups.
One particle: N particles: One dimension ^ = ^ + = + ^ = = ^ + (,,) = = + (,,) where the position of particle n is x n. = + = = +. (,) = /.There is a further restriction — the solution must not grow at infinity, so that it has either a finite L 2-norm (if it is a bound state) or a slowly diverging norm (if it is part of a continuum): [1] ‖ ‖ = | |.
Toggle Further reading subsection. 12.1 Textbooks. ... Download as PDF; Printable version ... While current quantum computers may speed up solutions to particular ...
Skimming is a process of speed reading that involves visually searching the sentences of a page for clues to the main idea or when reading an essay, it can mean reading the beginning and ending for summary information, then optionally the first sentence of each paragraph to quickly determine whether to seek still more detail, as determined by the questions or purpose of the reading.
that an analysis or description of any aspect of reality (e.g., quantum theory, the speed of light) can be unlimited in its domain of relevance; that the Cartesian coordinate system, or its extension to a curvilinear system, is the deepest conception of underlying order as a basis for analysis and description of the world;
In quantum computing, the Gottesman–Knill theorem is a theoretical result by Daniel Gottesman and Emanuel Knill that states that stabilizer circuits–circuits that only consist of gates from the normalizer of the qubit Pauli group, also called Clifford group–can be perfectly simulated in polynomial time on a probabilistic classical computer.