Concepts inMultilinear formulas and skepticism of quantum computing
Quantum computer
A quantum computer is a device for computation that makes direct use of quantum mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits, quantum computation utilizes quantum properties to represent data and perform operations on these data.
more from Wikipedia
Multilinear map
In linear algebra, a multilinear map is a function of several variables that is linear separately in each variable. More precisely, a multilinear map is a function where and are vector spaces, with the following property: for each, if all of the variables but are held constant, then is a linear function of . A multilinear map of two variables is a bilinear map. More generally, a multilinear map of k variables is called a k-linear map.
more from Wikipedia
Formula
In mathematics, a formula is an entity constructed using the symbols and formation rules of a given logical language. In science, a specific formula is a concise way of expressing information symbolically as in a mathematical or chemical formula. The plural of formula can be spelled either formulae (like the original Latin) for mathematical or scientific senses, or formulas for more general senses.
more from Wikipedia
Shor's algorithm
Shor's algorithm, named after mathematician Peter Shor, is a quantum algorithm for integer factorization formulated in 1994. Informally it solves the following problem: Given an integer N, find its prime factors. On a quantum computer, to factor an integer N, Shor's algorithm runs in polynomial time (the time taken is polynomial in log N, which is the size of the input).
more from Wikipedia
Laplace¿Runge¿Lenz vector
In classical mechanics, the Laplace¿Runge¿Lenz vector (or simply the LRL vector) is a vector used chiefly to describe the shape and orientation of the orbit of one astronomical body around another, such as a planet revolving around a star. For two bodies interacting by Newtonian gravity, the LRL vector is a constant of motion, meaning that it is the same no matter where it is calculated on the orbit; equivalently, the LRL vector is said to be conserved.
more from Wikipedia
Tensor product
In mathematics, the tensor product, denoted by ¿, may be applied in different contexts to vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, and modules, among many other structures or objects. In each case the significance of the symbol is the same: the most general bilinear operation. In some contexts, this product is also referred to as outer product. The term "tensor product" is also used in relation to monoidal categories.
more from Wikipedia
Leonid Levin
Leonid Anatolievich Levin (Le-oh-NEED LE-vin; Russian: ¿¿¿¿¿¿¿ ¿¿¿¿¿¿¿¿¿¿¿¿ ¿¿¿¿¿¿; born November 2, 1948) is a Soviet-American computer scientist. He obtained his master degree in 1970 and a Ph.D. equivalent in 1972 at Moscow University where he studied under Andrey Kolmogorov. Later, he emigrated to the U.S. in 1978 and also earned a Ph.D. at the Massachusetts Institute of Technology (MIT) in 1979. His advisor at MIT was Albert R. Meyer.
more from Wikipedia
Quantum state
In physics, a quantum state is a set of mathematical variables that fully describes a quantum system. For example, the set of 4 numbers; defines the state of an electron within a hydrogen atom and are known as the electron's quantum numbers. Other examples could be some "given direction and energy, or some other given condition", when we are talking about scattering. More generally, the state of the system is represented by a single vector known as a ket.
more from Wikipedia