updates and error correction
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Trance-0
2025-11-23 15:52:17 -06:00
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commit 0512c48967
5 changed files with 263 additions and 3 deletions

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@@ -98,7 +98,7 @@ We want to define a vector space with notation of multiplication of two vectors
That is
$$
(v_1+v_1)\otimes w=(v_1\otimes w)+(v_2\otimes w)\text{ and } v\otimes (w_1+w_2)=(v\otimes w_1)+(v\otimes w_2)
(v_1+v_2)\otimes w=(v_1\otimes w)+(v_2\otimes w)\text{ and } v\otimes (w_1+w_2)=(v\otimes w_1)+(v\otimes w_2)
$$
and enables scalar multiplication by

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@@ -52,3 +52,5 @@ $$
## Quantum error correcting codes
This part is intentionally left blank and may be filled near the end of the semester, by assignments given in CSE5313.
[Link to self-contained report](../../CSE5313/Exam_reviews/CSE5313_F1.md)

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@@ -76,7 +76,7 @@ This is a contradiction, so $|\psi^+\rangle$ is entangled.
#### Density operator
A density operator is a [Hermitian](https://notenextra.trance-0.com/Math401/Math401_T5#definition-of-hermitian-operator), positive semi-definite operator with trace 1.
A density operator is a [Hermitian](./Math401_T5#definition-of-hermitian-operator), positive semi-definite operator with trace 1.
The density operator of a pure state $|\psi\rangle$ is $\rho=|\psi\rangle\langle\psi|$.