Timeline for Limit of a countable separable is countable separable?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2023 at 0:12 | answer | added | Narutaka OZAWA | timeline score: 2 | |
| Feb 23, 2023 at 5:12 | comment | added | Deva | $T\otimes Id$ is not trace class operator on $H\otimes H$. | |
| Feb 22, 2023 at 18:17 | answer | added | Niranjan Kumar | timeline score: 1 | |
| Feb 21, 2023 at 13:31 | comment | added | user473423 | Let $T$ be a state on $H$, then $T\otimes Id$ is a counterexample. | |
| Feb 21, 2023 at 9:57 | comment | added | Deva | I think, now i made the question clearly. Sorry for trouble. | |
| Feb 21, 2023 at 9:56 | history | edited | Deva | CC BY-SA 4.0 |
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| Feb 21, 2023 at 8:48 | comment | added | Narutaka OZAWA | What is $P_n\rho P_n$, when $\rho$ is a state on $H\otimes H$ and $P_n$ is a projection on $H$? | |
| Feb 21, 2023 at 7:51 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Minor Math Jaxing and formatting
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| Feb 21, 2023 at 7:48 | comment | added | user473423 | But then the trace of $P_n\rho P_n$ will generally be strictly smaller than the one of $P_m\rho P_m$ for $m>n$. So how could both be states? | |
| Feb 21, 2023 at 7:29 | comment | added | Deva | Sorry. I mean $\rho$ is written as convex combination of tensor products of the states.. | |
| Feb 21, 2023 at 7:28 | history | edited | Deva | CC BY-SA 4.0 |
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| Feb 21, 2023 at 7:27 | history | edited | Deva | CC BY-SA 4.0 |
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| Feb 21, 2023 at 7:24 | comment | added | user473423 | How can $\rho$ have trace 1 when being a sum of operators of trace 1? | |
| S Feb 21, 2023 at 7:02 | review | First questions | |||
| Feb 21, 2023 at 7:33 | |||||
| S Feb 21, 2023 at 7:02 | history | asked | Deva | CC BY-SA 4.0 |