Physics:Quantum channel: Difference between revisions
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{{Short description|Mathematical description of quantum state transformations}} | {{Short description|Mathematical description of quantum state transformations}} | ||
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|image=[[File:Quantum_Channel_educational_yellow.png|430px|Quantum channel: an input state interacts with an environment and emerges as a transformed output state.]] | |image=[[File:Quantum_Channel_educational_yellow.png|430px|Quantum channel: an input state interacts with an environment and emerges as a transformed output state.]] | ||
|text= | |text=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. | ||
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== Overview == | == Overview == | ||
Placeholder: introduce quantum channels as completely positive trace-preserving maps that describe physical transformations of quantum states. | Placeholder: introduce quantum channels as completely positive trace-preserving maps that describe physical transformations of quantum states. | ||
Latest revision as of 22:58, 23 May 2026
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
Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.
Examples of channels
Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.
Role in open quantum systems
Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.
See also
Table of contents (217 articles)
Index
Full contents
References
Source attribution: Physics:Quantum channel
