Added dot product via iterative phase estimation sample

[DmitryVasilevsky]

This sample includes two version. The version for Unrestricted profile computes actual dot product using floating point numbers and is not suitable for current hardware. The version for Adaptive profile doesn't include floating point calculations and only provides estimation for the dot product. Multiple shots can be used to calculate it more precisely.
Original code is Copyright (c) 2023 KPMG Australia.

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Benchmark for d97729c

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Test	Base	PR	%
Array append evaluation	338.3±13.24µs	328.4±8.21µs	-2.93%
Array literal evaluation	192.5±1.71µs	189.8±1.92µs	-1.40%
Array update evaluation	417.3±3.31µs	410.1±1.96µs	-1.73%
Core + Standard library compilation	18.9±1.03ms	18.6±0.13ms	-1.59%
Deutsch-Jozsa evaluation	5.1±0.05ms	5.1±0.05ms	0.00%
Large file parity evaluation	34.0±1.14ms	34.0±0.31ms	0.00%
Large input file compilation	12.6±0.25ms	12.5±0.15ms	-0.79%
Large input file compilation (interpreter)	48.6±2.18ms	46.3±1.01ms	-4.73%
Large nested iteration	33.2±1.44ms	32.4±0.45ms	-2.41%
Perform Runtime Capabilities Analysis (RCA) on Deutsch-Jozsa sample	1567.8±65.57µs	1560.7±43.95µs	-0.45%
Perform Runtime Capabilities Analysis (RCA) on large file sample	7.7±0.18ms	7.6±0.08ms	-1.30%
Perform Runtime Capabilities Analysis (RCA) on teleport sample	1420.7±45.77µs	1425.0±56.67µs	+0.30%
Perform Runtime Capabilities Analysis (RCA) on the core and std libraries	27.9±0.12ms	27.8±0.20ms	-0.36%
Teleport evaluation	87.6±3.84µs	88.1±3.64µs	+0.57%

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Benchmark for 15e2e90

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Test	Base	PR	%
Array append evaluation	350.2±8.63µs	333.7±4.44µs	-4.71%
Array literal evaluation	180.3±14.53µs	176.8±0.81µs	-1.94%
Array update evaluation	426.6±3.43µs	412.1±5.32µs	-3.40%
Core + Standard library compilation	18.5±0.09ms	18.5±0.11ms	0.00%
Deutsch-Jozsa evaluation	5.1±0.08ms	5.1±0.05ms	0.00%
Large file parity evaluation	33.9±0.10ms	33.9±0.43ms	0.00%
Large input file compilation	12.2±0.10ms	12.4±0.26ms	+1.64%
Large input file compilation (interpreter)	45.3±0.60ms	45.6±0.82ms	+0.66%
Large nested iteration	34.1±1.18ms	32.5±0.20ms	-4.69%
Perform Runtime Capabilities Analysis (RCA) on Deutsch-Jozsa sample	1564.1±43.92µs	1570.7±94.06µs	+0.42%
Perform Runtime Capabilities Analysis (RCA) on large file sample	7.6±0.07ms	7.7±0.08ms	+1.32%
Perform Runtime Capabilities Analysis (RCA) on teleport sample	1425.6±42.86µs	1424.2±28.35µs	-0.10%
Perform Runtime Capabilities Analysis (RCA) on the core and std libraries	27.8±0.13ms	27.8±0.19ms	0.00%
Teleport evaluation	88.0±3.70µs	90.1±4.03µs	+2.39%

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Benchmark for 70124bc

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Test	Base	PR	%
Array append evaluation	333.1±2.25µs	333.1±3.42µs	0.00%
Array literal evaluation	189.4±0.57µs	184.2±0.80µs	-2.75%
Array update evaluation	410.6±1.24µs	411.2±1.19µs	+0.15%
Core + Standard library compilation	20.4±0.77ms	20.3±0.84ms	-0.49%
Deutsch-Jozsa evaluation	5.1±0.05ms	5.1±0.09ms	0.00%
Large file parity evaluation	34.2±0.10ms	34.1±0.26ms	-0.29%
Large input file compilation	13.3±0.42ms	12.8±0.35ms	-3.76%
Large input file compilation (interpreter)	50.1±1.23ms	49.7±1.05ms	-0.80%
Large nested iteration	33.6±1.36ms	32.8±0.55ms	-2.38%
Perform Runtime Capabilities Analysis (RCA) on Deutsch-Jozsa sample	1585.3±57.22µs	1593.8±107.70µs	+0.54%
Perform Runtime Capabilities Analysis (RCA) on large file sample	7.9±0.13ms	7.9±0.11ms	0.00%
Perform Runtime Capabilities Analysis (RCA) on teleport sample	1465.5±157.66µs	1444.3±77.84µs	-1.45%
Perform Runtime Capabilities Analysis (RCA) on the core and std libraries	28.4±0.21ms	28.4±0.33ms	0.00%
Teleport evaluation	89.0±5.31µs	88.3±3.91µs	-0.79%

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Benchmark for 844d772

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Test	Base	PR	%
Array append evaluation	333.1±2.24µs	330.6±2.07µs	-0.75%
Array literal evaluation	187.3±3.49µs	170.5±1.55µs	-8.97%
Array update evaluation	411.0±2.17µs	408.2±3.41µs	-0.68%
Core + Standard library compilation	21.0±0.68ms	20.9±0.79ms	-0.48%
Deutsch-Jozsa evaluation	5.1±0.04ms	5.1±0.13ms	0.00%
Large file parity evaluation	34.1±0.13ms	34.1±0.07ms	0.00%
Large input file compilation	13.6±0.25ms	13.2±0.51ms	-2.94%
Large input file compilation (interpreter)	51.0±1.58ms	50.4±1.28ms	-1.18%
Large nested iteration	32.9±0.22ms	32.6±0.22ms	-0.91%
Perform Runtime Capabilities Analysis (RCA) on Deutsch-Jozsa sample	1605.3±123.22µs	1585.1±79.69µs	-1.26%
Perform Runtime Capabilities Analysis (RCA) on large file sample	8.1±0.11ms	7.9±0.10ms	-2.47%
Perform Runtime Capabilities Analysis (RCA) on teleport sample	1461.6±93.33µs	1454.8±97.75µs	-0.47%
Perform Runtime Capabilities Analysis (RCA) on the core and std libraries	28.8±0.22ms	28.5±1.29ms	-1.04%
Teleport evaluation	88.9±3.93µs	88.7±3.68µs	-0.22%

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Benchmark for 6df3aca

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Test	Base	PR	%
Array append evaluation	332.0±1.53µs	333.2±2.49µs	+0.36%
Array literal evaluation	184.9±2.10µs	186.1±0.53µs	+0.65%
Array update evaluation	411.0±2.00µs	410.5±2.11µs	-0.12%
Core + Standard library compilation	18.6±0.32ms	20.9±0.93ms	+12.37%
Deutsch-Jozsa evaluation	5.1±0.09ms	5.1±0.09ms	0.00%
Large file parity evaluation	34.1±0.13ms	34.1±0.10ms	0.00%
Large input file compilation	12.4±0.15ms	14.0±0.73ms	+12.90%
Large input file compilation (interpreter)	46.3±0.80ms	52.9±1.47ms	+14.25%
Large nested iteration	32.7±0.20ms	32.9±0.21ms	+0.61%
Perform Runtime Capabilities Analysis (RCA) on Deutsch-Jozsa sample	1589.6±124.27µs	1621.7±145.57µs	+2.02%
Perform Runtime Capabilities Analysis (RCA) on large file sample	8.1±0.12ms	8.1±0.15ms	0.00%
Perform Runtime Capabilities Analysis (RCA) on teleport sample	1423.0±29.26µs	1469.2±154.18µs	+3.25%
Perform Runtime Capabilities Analysis (RCA) on the core and std libraries	28.2±0.20ms	28.9±0.25ms	+2.48%
Teleport evaluation	93.3±6.31µs	94.2±7.58µs	+0.96%

[swernli]

Looks good, thanks!

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Benchmark for b7555cf

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Test	Base	PR	%
Array append evaluation	333.9±5.52µs	335.7±2.75µs	+0.54%
Array literal evaluation	186.1±1.49µs	170.8±0.72µs	-8.22%
Array update evaluation	411.8±3.20µs	418.2±1.51µs	+1.55%
Core + Standard library compilation	18.7±0.11ms	18.7±0.24ms	0.00%
Deutsch-Jozsa evaluation	5.0±0.05ms	5.1±0.15ms	+2.00%
Large file parity evaluation	34.1±0.10ms	34.1±0.39ms	0.00%
Large input file compilation	12.4±0.40ms	12.4±0.15ms	0.00%
Large input file compilation (interpreter)	45.6±0.64ms	46.6±1.31ms	+2.19%
Large nested iteration	33.2±1.36ms	33.7±0.15ms	+1.51%
Perform Runtime Capabilities Analysis (RCA) on Deutsch-Jozsa sample	1569.3±30.78µs	1572.6±34.32µs	+0.21%
Perform Runtime Capabilities Analysis (RCA) on large file sample	7.8±0.08ms	7.8±0.07ms	0.00%
Perform Runtime Capabilities Analysis (RCA) on teleport sample	1438.7±90.53µs	1423.5±34.40µs	-1.06%
Perform Runtime Capabilities Analysis (RCA) on the core and std libraries	28.0±0.13ms	28.1±0.55ms	+0.36%
Teleport evaluation	88.9±4.17µs	88.3±3.62µs	-0.67%