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It is the basic entity of study in quantum information theory, [1] [2] [3] and can be manipulated using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general computational term.
[12] [13]) Moreover, it contains an early description of density matrices and quantum entanglement, [14] and it uses what quantum information theory would later call the Weyl–Heisenberg group to give a finite-dimensional version of the canonical commutation relation. [8] [15] [16]
In quantum information and computation, the Solovay–Kitaev theorem says that if a set of single-qubit quantum gates generates a dense subgroup of SU(2), then that set can be used to approximate any desired quantum gate with a short sequence of gates that can also be found efficiently.
Quantum information science is a field that combines the principles of quantum mechanics with information theory to study the processing, analysis, and transmission of information. It covers both theoretical and experimental aspects of quantum physics, including the limits of what can be achieved with quantum information .
Quantum Computation and Quantum Information is a textbook about quantum information science written by Michael Nielsen and Isaac Chuang, regarded as a standard text on the subject. [1] It is informally known as " Mike and Ike ", after the candies of that name . [ 2 ]
William "Bill" Kent Wootters is an American theoretical physicist, and one of the founders of the field of quantum information theory. In a 1982 joint paper with Wojciech H. Zurek, Wootters proved the no cloning theorem, [1] at the same time as Dennis Dieks, and independently of James L. Park who had formulated the no-cloning theorem in 1970.
In quantum information theory, the channel-state duality refers to the correspondence between quantum channels and quantum states (described by density matrices).Phrased differently, the duality is the isomorphism between completely positive maps (channels) from A to C n×n, where A is a C*-algebra and C n×n denotes the n×n complex entries, and positive linear functionals on the tensor product
In quantum information theory and operator theory, the Choi–Jamiołkowski isomorphism refers to the correspondence between quantum channels (described by completely positive maps) and quantum states (described by density matrices), this is introduced by Man-Duen Choi [1] and Andrzej Jamiołkowski. [2]