benmcdonough20 / bosonic-qiskit-tutorials

Collection of tutorial notebooks and bugs for the Bosonic Qiskit package
Academic Free License v3.0
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Single-mode squeezing derivation #3

Closed benmcdonough20 closed 1 year ago

benmcdonough20 commented 1 year ago

I am working on the tutorial on the different gates available in the library. I am stuck on the derivation of the single-mode squeezing gate.

It would be awesome if someone could help find a simple derivation showing the affect that the single-mode squeezing gate has on the variance of x and p on a coherent state or even just the vacuum state.

@LukeBell717 this might be easiest for you because you have taken quantum mechanics, but anyone else feel free to work on this too!

LukeBell717 commented 1 year ago

Hi Ben thanks for letting me know! I’ll look into this, and thanks so much for your hard work!

On Thu, Jan 12, 2023 at 1:10 AM Benjamin McDonough @.***> wrote:

I am working on the tutorial on the different gates available in the library. I am stuck on the derivation of the single-mode squeezing gate.

It would be awesome if someone could help find a simple derivation showing the affect that the single-mode squeezing gate has on the variance of x and p on a coherent state or even just the vacuum state.

@LukeBell717 https://github.com/LukeBell717 this might be easiest for you because you have taken quantum mechanics, but anyone else feel free to work on this too!

— Reply to this email directly, view it on GitHub https://github.com/benmcdonough20/bosonic-qiskit-tutorials/issues/3, or unsubscribe https://github.com/notifications/unsubscribe-auth/AR3IL3N7CFUHRY5ZLAWXMQ3WR6N35ANCNFSM6AAAAAATY3OYAI . You are receiving this because you were mentioned.Message ID: @.***>

-- Best regards, Luke Bell B.S. Mathematics and Physics Yale University | Class of 2023

benmcdonough20 commented 1 year ago

Sure! After some more creative googling, I think I found the answer on OpenCourseWare:

https://ocw.mit.edu/courses/8-514-strongly-correlated-systems-in-condensed-matter-physics-fall-2003/706c870d8995d4799efc26a2e210e5ef_lec2.pdf