Adaptive quantum computing notebook samples

[cesarzc]

This change introduces two notebook samples that demonstrate adaptive quantum programs:

• Iterative phase estimation.
• Repeat until success.

[github-actions]

Benchmark for 8f330a9

Click to view benchmark

Test	Base	PR	%
Array append evaluation	337.3±2.93µs	333.4±5.88µs	-1.16%
Array literal evaluation	171.0±0.92µs	170.8±1.49µs	-0.12%
Array update evaluation	414.8±0.88µs	410.3±1.96µs	-1.08%
Core + Standard library compilation	20.1±0.46ms	20.7±0.82ms	+2.99%
Deutsch-Jozsa evaluation	5.0±0.06ms	5.0±0.05ms	0.00%
Large file parity evaluation	34.3±1.00ms	34.2±0.32ms	-0.29%
Large input file compilation	13.2±0.34ms	13.3±0.49ms	+0.76%
Large input file compilation (interpreter)	49.6±0.99ms	50.7±1.32ms	+2.22%
Large nested iteration	33.3±0.09ms	33.0±0.21ms	-0.90%
Perform Runtime Capabilities Analysis (RCA) on Deutsch-Jozsa sample	1613.1±112.60µs	1608.7±112.92µs	-0.27%
Perform Runtime Capabilities Analysis (RCA) on large file sample	7.9±0.09ms	8.0±0.12ms	+1.27%
Perform Runtime Capabilities Analysis (RCA) on teleport sample	1451.2±117.30µs	1475.0±175.34µs	+1.64%
Perform Runtime Capabilities Analysis (RCA) on the core and std libraries	28.8±0.23ms	29.2±0.26ms	+1.39%
Teleport evaluation	87.7±3.59µs	88.4±3.88µs	+0.80%

[swernli]

Thanks for getting these updated! I'll review the text soon. There's one detail about the integration tests: they automatically execute notebooks in the folder unless they are on a list of notebooks to skip. Since these includes submission to the service they aren't expected to run e2e in CI and can be added to that skip list. See line 453-457 in build.py.

[github-actions]

Benchmark for f91ffbe

Click to view benchmark

Test	Base	PR	%
Array append evaluation	331.5±2.03µs	340.8±1.20µs	+2.81%
Array literal evaluation	170.8±1.17µs	185.6±15.08µs	+8.67%
Array update evaluation	409.7±2.98µs	422.8±2.03µs	+3.20%
Core + Standard library compilation	20.3±0.50ms	21.4±0.85ms	+5.42%
Deutsch-Jozsa evaluation	5.0±0.04ms	5.1±0.03ms	+2.00%
Large file parity evaluation	34.1±0.08ms	34.3±0.33ms	+0.59%
Large input file compilation	13.7±0.44ms	13.3±0.33ms	-2.92%
Large input file compilation (interpreter)	50.8±1.39ms	51.4±1.37ms	+1.18%
Large nested iteration	32.8±2.03ms	33.9±0.57ms	+3.35%
Perform Runtime Capabilities Analysis (RCA) on Deutsch-Jozsa sample	1605.2±133.16µs	1604.5±140.55µs	-0.04%
Perform Runtime Capabilities Analysis (RCA) on large file sample	8.0±0.10ms	8.0±0.17ms	0.00%
Perform Runtime Capabilities Analysis (RCA) on teleport sample	1454.2±80.67µs	1459.0±144.21µs	+0.33%
Perform Runtime Capabilities Analysis (RCA) on the core and std libraries	28.8±0.91ms	28.9±0.32ms	+0.35%
Teleport evaluation	87.2±3.80µs	87.8±4.06µs	+0.69%