Physics:Quantum channel

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Quantum channel: an input state interacts with an environment and emerges as a transformed output state.

A quantum channel is a Book I topic in the Quantum Collection. It is a mathematical description of a physical transformation of quantum states, usually represented as a completely positive trace-preserving map on density matrices. Quantum channels describe noise, measurement back-action, information loss, communication through a device, and the evolution of an open quantum system coupled to an environment. Important examples include unitary channels, depolarizing channels, amplitude-damping channels, phase-damping channels, and erasure channels. They provide the standard language for quantum information theory, quantum error correction, and realistic models of quantum computing hardware.

Overview

Placeholder: introduce quantum channels as completely positive trace-preserving maps that describe physical transformations of quantum states.

Key ideas

Placeholder: cover density matrices, open systems, completely positive maps, trace preservation, noise models.

Definition

Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.

Physical meaning

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Examples of channels

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Role in open quantum systems

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See also

Table of contents (217 articles)

Index

Full contents

References


Author: Harold Foppele


Source attribution: Physics:Quantum channel