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Print/export Download as PDF; Printable version ... move to sidebar hide. Help. Quantum information theory is a generalization of classical information theory to use ...
This concept stems from two fundamental theorems of quantum mechanics: the no-cloning theorem and the no-deleting theorem. 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.
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.
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:
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 .
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]
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.
Coherent information is an entropy measure used in quantum information theory. It is a property of a quantum state ρ and a quantum channel N {\displaystyle {\mathcal {N}}} ; intuitively, it attempts to describe how much of the quantum information in the state will remain after the state goes through the channel.