Cannot pickle Frame objects under certain circumstances

[steve-jeffrey]

Pre-Report Checklist

• [X] I am running the latest versions of pyQuil and the Forest SDK
• [X] I checked to make sure that this bug has not already been reported

Issue Description

A Program containing Frames cannot be pickled if the frames member has been accessed.

For example, in the example below:

• a pyQuil program with calibrations can be pickled
• a pyQuil program's frames member cannot be pickled (but other individual members can be pickled, such as waveforms.
• a pyQuil program with calibrations cannot be pickled if the frames have been accessed, for example, if the copy_everything_except_instructions() method has been called.

Code Snippet

import pickle
from typing import cast

from pyquil import get_qc
from pyquil.api import QPUCompiler

qc = get_qc("Ankaa-9Q-1")

compiler = cast(QPUCompiler, qc.compiler)

cals = compiler.get_calibration_program()

# Works
with open('/tmp/test', 'wb') as file:
    pickle.dump(cals, file)

# Works i.e. some individual members can be pickled
with open('/tmp/test', 'wb') as file:
    pickle.dump(cals.waveforms, file)

# Fails i.e. the frames member cannot be pickled
with open('/tmp/test', 'wb') as file:
    pickle.dump(cals.frames, file)

# Fails
tmp = cals.copy_everything_except_instructions()
with open('/tmp/test', 'wb') as file:
    pickle.dump(cals, file)

Error Output

Traceback (most recent call last):
  File "test.py", line 28, in <module>
    pickle.dump(cals, file)
TypeError: cannot pickle 'Frame' object

Environment Context

Operating System: Fedora 39 Python: 3.10 PyQuil: 4.7.0