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In the field of quantum information theory, the quantum systems studied are abstracted away from any real world counterpart. A qubit might for instance physically be a photon in a linear optical quantum computer, an ion in a trapped ion quantum computer, or it might be a large collection of atoms as in a superconducting quantum computer.
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 theory is a generalization of classical information theory to use quantum-mechanical particles and interference. It is used in the study of quantum computation and quantum cryptography .
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 .
But the no-hiding theorem is a more general proof of conservation of quantum information which originates from the proof of conservation of wave function in quantum theory. It may be noted that the conservation of entropy holds for a quantum system undergoing unitary time evolution and that if entropy represents information in quantum theory ...
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.
where (‖) denotes quantum relative entropy. Note that there is an alternative generalization of mutual information to the quantum case. The difference between the two for a given state is called quantum discord, a measure for the quantum correlations of the state in question.
Like the no-cloning theorem this has important implications in quantum computing, quantum information theory and quantum mechanics in general. The process of quantum deleting takes two copies of an arbitrary, unknown quantum state at the input port and outputs a blank state along with the original. Mathematically, this can be described by: