37 lines
917 B
Markdown
37 lines
917 B
Markdown
Compose different systems with each other
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## Constructing composite systems
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![[Pasted image 20260729215146.png]]
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This definition applies to probabilistic and quantum systems.
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Example:
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![[Pasted image 20260729215759.png]]
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![[Pasted image 20260729215837.png]]
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So to apply S to A and T to B we apply SxT to AB.
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If the distribution of a probabilistic system can be written as a composite A and B are independent
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If we cannot they are depended on each other
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If the quantum state of a system AB can be written as a tensor product they are independent
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If we cannot the quantum states depend on each other, we call this entangled~
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![[Pasted image 20260729220918.png]]
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## Measuring composite systems
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We can compose two separate measurements similarly to how we applied the tensor product.
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![[Pasted image 20260729221447.png]]
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Example:
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![[Pasted image 20260729221513.png]]
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![[Pasted image 20260729221523.png]]
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