Physics:Quantum Kraus operators: Difference between revisions
Clean Short description prefix and add Book I label |
WikiHarold (talk | contribs) Expand short Quantum intro |
||
| (3 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
{{Short description|Operator-sum representation of quantum channels}} | {{Short description|Operator-sum representation of quantum channels}} | ||
{{Quantum book backlink|Open quantum systems}} | |||
{{Quantum article nav|previous=Physics:Quantum channel|previous label=Quantum channel|next=Physics:Quantum Amplitude damping|next label=Amplitude damping}} | |||
{{ScholarlyWiki page top | |||
|backlink= | |||
|image=[[File:Quantum_Kraus_operators_educational_yellow.png|430px|Kraus operators decompose a quantum channel into possible noise or measurement outcomes.]] | |image=[[File:Quantum_Kraus_operators_educational_yellow.png|430px|Kraus operators decompose a quantum channel into possible noise or measurement outcomes.]] | ||
|text= | |text=Kraus operators are a Book I topic in the Quantum Collection. They are a way to represent the most general physical transformation of a quantum state when the state may interact with an environment or be subject to a measurement. A set of Kraus operators defines an operator-sum representation of a quantum channel, acting on density matrices while preserving probabilities when the operators satisfy the trace-preserving condition. Kraus operators make noise processes concrete, including amplitude damping, phase damping, depolarization, and measurement outcomes. They are central in open quantum systems, quantum information, and error correction. | ||
}} | }} | ||
== Overview == | == Overview == | ||
Placeholder: explain how a set of Kraus operators represents the evolution of a quantum state under a channel or measurement process. | Placeholder: explain how a set of Kraus operators represents the evolution of a quantum state under a channel or measurement process. | ||
Latest revision as of 22:58, 23 May 2026
Kraus operators are a Book I topic in the Quantum Collection. They are a way to represent the most general physical transformation of a quantum state when the state may interact with an environment or be subject to a measurement. A set of Kraus operators defines an operator-sum representation of a quantum channel, acting on density matrices while preserving probabilities when the operators satisfy the trace-preserving condition. Kraus operators make noise processes concrete, including amplitude damping, phase damping, depolarization, and measurement outcomes. They are central in open quantum systems, quantum information, and error correction.
Overview
Placeholder: explain how a set of Kraus operators represents the evolution of a quantum state under a channel or measurement process.
Key ideas
Placeholder: cover operator-sum representation, density matrices, quantum operations, measurement outcomes, complete positivity.
Operator-sum form
Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.
Trace preservation
Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.
Examples
Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.
Connection to measurements
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 Kraus operators
