implement squeezing

[apkille]

Adds symbolic squeeze operator SqueezeOp and squeezed coherent state SqueezedCoherentState, with supported numerical translations to QuantumOptics.jl and symbolic simplification.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 75.50%. Comparing base (f2cda40) to head (d8f8964).
Report is 1 commits behind head on main.

Additional details and impacted files

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##             main      #83      +/-   ##
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+ Coverage   75.31%   75.50%   +0.18%     
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  Files          19       19              
  Lines         794      800       +6     
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+ Hits          598      604       +6     
  Misses        196      196              

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[Krastanov]

Wonderful! Feel free to bump version and add changelog and merge if the tests pass again after the bump.

[apkille]

@Krastanov I thought about this a little more after developing the Gaussian quantum info package and would like to alter this PR slightly as follows:

• Change SqueezedCoherentState to SqueezedState, the latter being a squeezed vacuum state. If someone wants to create a squeezed coherent state, then they can simply apply the displacement operator DisplaceOp to a SqueezedState object. On the user end, this makes it more obvious what is being done symbolically. Plus, currently in the Gaussian quantum info package I have a squeezedstate function that creates a squeezed vacuum state in the phase representation, so making these changes would make a symbolic translation to that package slightly more straightforward. In the future once we register the Gaussian info package I can submit a PR to QSymbolics that enables easy translations with express.

[Krastanov]

sounds good to me!