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There are many ways to specify the atom Geometry, from a simple list of positions to Bravais lattices. The pulse sequence is defined as time-dependent functions for the detuning, Rabi amplitude, and Rabi phase for the driving between the energy levels of the atoms. Bloqade supports both two and three-level driving schemes. However, QuEra's flagship AHS device _Aquila_ only supports the two-level drive. Let's start by defining a simple two-level Rabi drive with a detuning: - -```python -from bloqade import start - -program = ( - start.add_position((0, 0)) - .rydberg.detuning.uniform.constant(10, 1.1) - .amplitude.uniform.constant(15, 1.1) -) -``` - -The above code defines a single atom at the origin with a uniform detuning of 10 rad/us and a uniform Rabi amplitude of 15 rad/us for 1.1 us. With multiple atoms you can take advantage of _local_ detuning but we'll save that for the [Advanced Usage](advanced_usage.md) section. The detuning and Rabi amplitude are both constant in time. You can execute this program on a simulator using the following code: - -```python -result = program.bloqade.python().run(100) -``` - -Where the integer is the total number of shots to simulate. You cannot execute this code on the real hardware because the Rabi amplitude must start and end at 0. To do this, we need to add a ramp to the Rabi amplitude: - -```python -from bloqade import start - -program = ( - start.add_position((0, 0)) - .rydberg.detuning.uniform.constant(10, 1.1) - .amplitude.uniform.piecewise_linear([0.06, 1.0, 0.06], [0, 15, 15, 0]) -) -``` - -We can now run this program on actual hardware. After you obtain your Amazon Braket credentials through environment variables or the [AWS CLI](https://aws.amazon.com/cli/) we can use the `.run_async` method to submit to hardware. - -```python -result = program.braket.aquila().run_async(100) -``` - -here, `run_async` denotes that the function call is asynchronous, meaning the function will return immediately, and the result will be a future-like object that will retrieve the results from the cloud. You can also call `run`, but this will block Python until the results from the QPU have been completed. For more information, see our [Tutorials](https://queracomputing.github.io/bloqade-python-examples/latest/). You can also execute your programs on the Amazon Braket local simulator using the following code: - -```python -result = program.braket.local_emulator().run(100) -``` - -Note that the Amazon Braket local emulator doesn't have the same capabilities as the Bloqade local emulator (e.g. support for three-level simulations and better performance!) diff --git a/docs/home/quick_start.md b/docs/home/quick_start.md new file mode 100644 index 000000000..e8a1c1375 --- /dev/null +++ b/docs/home/quick_start.md @@ -0,0 +1,489 @@ + + + +# Quick Start + +All the sections below are self-contained, you can click on the links in the Table of Contents to read the relevant parts. + +## Navigating the Bloqade API + +As you develop your Bloqade program, you are expected to rely on pop-up "hints" provided in your development environment to help you determine what the next part of your program should be. + +### VS Code + +In [VS Code](https://code.visualstudio.com/) this is automatic, just type the `.` and see what options pop up: + +

+ +### JetBrains PyCharm + +The same goes for [JetBrains PyCharm](https://www.jetbrains.com/pycharm/): + +
+ + PyCharm Hints + +
+ +### Jupyter Notebook + +In a [Jupyter Notebook](https://jupyter.org/) you'll need to type `.` and then hit tab for the hints to appear: + +
+ + Jupyter Notebook Hints + +
+ +### IPython + +The same goes for [IPython](https://ipython.readthedocs.io/en/stable/): + +
+ + IPython Hints + +
+ +## Defining Atom Geometry + +You can import pre-defined geometries based on [Bravais lattices](https://en.wikipedia.org/wiki/Bravais_lattice) from `bloqade.atom_arrangement`. You may also specify a lattice spacing which dictates the spacing between the atoms as well as the number of atom sites in a certain direction. + +```python +from bloqade.atom_arrangement import Square, Kagome + +simple_geometry = Square(2, 4, lattice_spacing = 4.0) +more_complex_geometry = Kagome(2, 2, lattice_spacing = 2.0) +``` + +You can easily visualize your geometries as well with `.show()`: + +```python +more_complex_geometry.show() +``` +
+ + Geometry Visualization + +
+ +You can also add positions to a pre-defined geometry: + +```python +from bloqade.atom_arrangement import Square + +base_geometry = Square(2) +geometry_with_my_positions = base_geometry.add_position([(10,10), (20,20)]) +``` + +As well as apply defects via `.apply_defect_density`. In the example below we apply a defect with a probability of 0.2: + +```python +from bloqade.atom_arrangement import Square, Kagome + +more_complex_geometry = Kagome(2, 2, lattice_spacing = 2.0) +defective_geometry = more_complex_geometry.apply_defect_density(0.2) +``` + +Or if you want to completely roll out your own atom geometry from scratch just use `add_position` by itself: + +```python +from bloqade import start + +my_geometry = start.add_position([(1,2), (3,4), (5,6)]) +``` + +## Building Waveforms + +After you've [defined a geometry](#defining-atom-geometry) you: + +* Specify which level coupling to drive: `rydberg` or `hyperfine` +* Specify `detuning`, `rabi.amplitude` or `rabi.phase` +* Specify the [spatial modulation]() + +Which then leads you to the ability to specify a waveform of interest and begin constructing your pulse sequence. +In the example below, we target the ground-Rydberg level coupling to drive with uniform [spatial modulation]() for the Rabi amplitude. Our waveform is a piecewise linear one which ramps from $0$ to $5 \,\text{rad/us}$, holds that value for $1 \,\text{us}$ and then ramps back down to $0 \,\text{rad/us}$. + +```python +from bloqade import start + +geometry = start.add_position((0,0)) +target_rabi_amplitude = geometry.rydberg.rabi.amplitude.uniform +waveform_applied = ( + target_rabi_amplitude + .piecewise_linear(durations = [0.06, 1, 0.06], values = [0, 5, 5, 0]) +) +``` + +You aren't restricted to just piecewise linear waveforms however, you can also specify: + +* [`linear`]() - Define a transition from one value to another over a duration +* [`constant`]() - Define a fixed value over a duration +* [`piecewise_constant`]() - Define a step-wise function with specific durations for each step +* [`poly`]() - Define a polynomial waveform using coefficients over a duration + + +## Arbitrary Functions as Waveforms + +For more complex waveforms it may provde to be tedious trying to chain together a large number of [`piecewise_constant`]() or [`piecewise_linear`]() methods and instead easier to just define the waveform as a function of time. + +Bloqade lets you easily plug in an arbitrary function with `.fn`: + +```python +from bloqade import start +from math import sin + +geometry = start.add_position((0,0)) +target_rabi_amplitude = geometry.rydberg.rabi.amplitude.uniform + +def custom_waveform(t): + return 2.0 * sin(t) + +custom_waveform_applied = ( + target_rabi_amplitude + .fn(custom_waveform, duration = 3.0) +) +``` + +In this form you can immediately [emulate](#emulation) it if you'd like but to run this on [hardware](#submitting-to-hardware) you need to discretize it. The waveform on hardware has to either be: + +* Piecewise linear for Rabi amplitude and detuning terms of the Hamiltonian +* Piecewise constant for the Phase term of the Hamiltonian + +Bloqade can automatically perform this conversion with `sample()`, all you need to do is specify the kind of interpolation and the size of the discretization step in time. Below we set the step duration to be $0.05 \,\text{us}$ with `"linear"` interpolation to give us a resulting piecewise linear waveform. + +```python +custom_discretized_waveform_applied = ( + target_rabi_amplitude + .fn(custom_waveform, duration = 3.0) + .sample(0.05, "linear") +) +``` + +!!! note + + Programs that have custom functions as waveforms are not fully serializable. This means that when you are [saving and reloading results](#saving-and-loading-results), the original embedded program will be missing that custom waveform. You will still be able to analyze the saved results! + + +## Slicing and Recording Waveforms + +When you conduct [parameter sweeps](#parameter-sweeps) with your program, you may want to sweep over your program across time. This will require "slicing" your waveforms, where you define the waveform of interest and then, using a variable with `.slice`, indicate the times at which the waveform duration should be cut short. + +In the example below we define a simple piecewise linear waveform but slice it starting from a time duration of $0 \,\text{us}$ to values between $1$ to $2 \,\text{us}$. + + +```python +from bloqade import start +import numpy as np + +sliced_program = ( + start.add_position((0, 0)) + .rydberg.rabi.amplitude.uniform.piecewise_linear( + durations=[0.5, 2.5, 0.5], values=[0, 3.0, 3.0, 0] + ).slice(start=0, stop="run_time") +) + +run_times = np.linspace(1.0, 2.0, 10) +vars_assigned_program = sliced_program.batch_assign(run_time=run_times) +``` + +This program will run fine in [emulation](#emulation) but due to hardware constraints certain waveforms (such as those targeting the Rabi Amplitude), the waveform needs to start and end at $0 \,\text{rad}/\text{us}$. Thus, there needs to be a way to slice our waveform but also add an end component to that waveform. `.record` in Bloqade lets you literally "record" the value at the end of a `.slice` and then use it to construct further parts of the waveform. + +In the program below the waveform is still sliced but with the help of `.record` a linear segment that pulls the waveform down to $0.0 \,\text{rad}/\text{us}$ from whatever its current value at the slice is in $0.7 \,\text{us}$ is added. + +```python +from bloqade import start +import numpy as np + +sliced_program = ( + start.add_position((0, 0)) + .rydberg.rabi.amplitude.uniform.piecewise_linear( + durations=[0.5, 2.5, 0.5], values=[0, 3.0, 3.0, 0] + ).slice(start=0, stop="run_time") + .record("waveform_value") + .linear("rabi_value", 0.0, 0.7) +) + +run_times = np.linspace(1.0, 2.0, 10) +vars_assigned_program = sliced_program.batch_assign(run_time=run_times) +``` + + +## Waveforms with No Geometry + +If you have multiple [atom geometries](#defining-atom-geometry) you'd like to apply a [pulse sequence](#building-waveforms) to or you simply don't want to worry about what atom geometry to start with, you can just build straight off of `start`: + +```python +from bloqade import start + +pulse_sequence = ( + start + .rydberg.rabi.amplitude.uniform + .constant(value=1.0, duration=1.0) + .parse_sequence() +) +``` + +You can visualize your sequence as well with `.show()`: + +```python +pulse_sequence.show() +``` + +![](../assets/quick_start/pulse-sequence-visualization.png) + +And when you're content with it you just `.apply()` it on the geometries of your choice: + +```python +from bloqade.atom_arrangement import Honeycomb, Kagome + +geometry_1 = Honeycomb(2, lattice_spacing = 6.0) +geometry_2 = Kagome(2, lattice_spacing = 6.0) + +program_1 = geometry_1.apply(pulse_sequence) +program_2 = geometry_2.apply(pulse_sequence) +``` + +## Emulation + +When you've completed the definition of your program you can use Bloqade's own emulator to get results. +The emulation performs the [time evolution]() of the [analog Rydberg Hamiltonian](). +Here we say we want to the program to be run and measurements obtained 1000 times. + +```python +results = your_program.bloqade.python().run(1000) +``` + +!!! note + If your atoms are particularly close together or the ODE solver gives you the following message: + + ``` + RuntimeError: DOP853/DOPRI5: Problem is probably stiff (interrupted). + ``` + + In which case you will need to specify the `interaction_picture=True` argument: + + ```python + results = your_program.bloqade.python().run(1000, interaction_picture=True) + ``` + +## Submitting to Hardware + +To submit your program to hardware ensure you have your AWS Braket credentials loaded. You will need to use the [AWS CLI]() to do this. + +Then it's just a matter of selecting the *Aquila* on Braket backend. Before going any further Bloqade provides two options for running your program on actul hardware: + +* Using `.run` is blocking, meaning you will not be able to execute anything else while Bloqade waits for results +* Using `.run_async` lets you submit to hardware and continue any further execution, while also letting you query the status of your program in the queue. + +In the example below we use `.run_async` to specify the program should be run and measurements obtained 1000 times. + +```python +async_results = your_program.braket.aquila().run_async(1000) +``` + +We can see the status of our program via: + +```python +async_results.fetch() +``` +Which gives us the Task ID, a unique identifier for the task as well as the status of the task. In the example below the task is `Enqueued` meaning it has been successfully created and is awaiting execution on the cloud. When the task is actually running on hardware, the status will change to `Running`. +``` + task ID status shots +0 arn:aws:braket:us-east-1:XXXXXXXXXXXX:quantum-... Enqueued 100 +``` + + +## Analyzing Results + +When you've retrieved your results from either [emulation](#emulation) or [hardware](#submitting-to-hardware) you can generate a `.report()`: + +```python +report = results.report() +``` + +For the examples below we analyze the results of a two atom program. + +The report contains useful information such as: + +* The raw bitstrings measured per each execution of the program +```python +report.bitstrings() +``` +``` +[array([[1, 1], + [1, 1], + [1, 1], + ..., + [1, 1], + [1, 1], + [1, 0]], dtype=int8)] +``` + +* The number of times each unique bitstring occurred: +```python +report.counts() +``` +``` +[OrderedDict([('11', 892), ('10', 59), ('01', 49)])] +``` + +* The Rydberg Density for each atom +```python +report.rydberg_densities() +``` +``` + 0 1 +task_number +0 0.053 0.054 +``` + +And can also provide useful visual information such as the state of your atoms and the bitstring distribution via: + +```python +report.show() +``` + +![](../assets/quick_start/report-visualization.png) + + + +## Parameter Sweeps + +You can easily do parameter sweeps in emulation and on *Aquila* with variables. Bloqade automatically detects strings in your program as variables that you can later assign singular or multiple values to. + +In the example below, we define a program with a singular variable that controls the amplitude of the waveform. + +```python +from bloqade import start + +rabi_oscillations_program = ( + start.add_position((0, 0)) + .rydberg.rabi.amplitude.uniform.piecewise_linear( + durations=[0.06, 3, 0.06], + values=[0, "rabi_amplitude", "rabi_amplitude", 0] + ) +) +``` + +We can assign a single fixed value to the variable: + +```python +single_value_assignment = rabi_oscillations_program.assign(rabi_amplitude=3.5) +``` + +Or, to perform a sweep, we use `.batch_assign`: + +```python +import numpy as np +rabi_amplitudes = np.linspace(1.0, 2.0, 20) + +multiple_value_assignment = rabi_oscillations_program.batch_assign(rabi_amplitude=rabi_amplitudes) +``` + +This will actually create multiple versions of the program internally, with each program assigned a fixed value from the sweep. Bloqade will automatically handle the compilation of results from these multiple programs in order, meaning there is no major departure from what you saw in [analyzing the results](#analyzing-results) of your program. + +You can also delay assignment of a value to a variable by first declaring it in `.args()` and then passing a value when you call `run`: + +```python +delayed_assignment_program = rabi_oscillations_program.args(["rabi_amplitude"]) +results = delayed_assignment_program.bloqade.python().run(100, args=(1.0,)) +``` + +You can alternatively treat the program as a callable after using `.args()` (note the inverted order of arguments in the call!): + +```python +delayed_assignment_program = rabi_oscillations_program.args(["rabi_amplitude"]) +callable_program = delayed_assignment_program.bloqade.python() +results = callable_program(1.0, shots=100) +``` + +Variables aren't just restricted to having values assigned to them, you can also [symbolically manipulate](#symbolic-parameters) them! + +## Symbolic Parameters + +[Variables](#parameter-sweeps) in Bloqade can also be symbolically manipulated, giving you even more flexibility when you construct your program. + +In the example below, we externally declare a variable `my_var` that then has some arithmetic done on it to allow it to have a different value in a later part of the program: + +```python +from bloqade import start, var + +my_var = var("my_variable") +waveform_durations = [0.6, 1.0, 0.6] + +geometry = start.add_position((0,0)) +target_rabi_amplitude = geometry.rydberg.rabi.amplitude.uniform +rabi_waveform = ( + target_rabi_amplitude + .piecewise_linear(durations=waveform_durations, + values=[0.0, my_var, my_var, 0.0]) +) +target_detuning = rabi_waveform.detuning.uniform +detuning_waveform = ( + target_detuning + .piecewise_linear(durations=waveform_durations, + values=[my_var-1.0, my_var*0.5, my_var/2, my_var+1.0 ]) +) +``` + +You still perform variable assignment just like you normally would: + +```python +program = detuning_waveform.assign(my_variable=1.0) +``` + +You can also use Python's built-in `sum` if you want the sum of multiple variables as a value in your program. This is quite useful when it comes to needing to indicate a full duration for a waveform that doesn't need to be split up: + +```python +from bloqade import start, var + +variable_durations = var(["a", "b", "c"]) + +geometry = start.add_position((0,0)) +target_rabi_amplitude = geometry.rydberg.rabi.amplitude.uniform +rabi_waveform = ( + target_rabi_amplitude + .piecewise_linear(durations=variable_durations, + values=[0.0, 1.5, 1.5, 0.0]) +) +target_detuning = rabi_waveform.detuning.uniform +detuning_waveform = ( + target_detuning + .constant(duration=sum(variable_durations), + value=16.2) +) +``` +We later assign values and Bloqade will automatically handle the summation: + +```python +program = detuning_waveform.assign(a=0.5, b=1.2, c=0.5) +``` + + +## Saving and Loading Results + +You can save your results in JSON format using Bloqade's `save` function: + +```python +from bloqade import start, save + +your_program = ... +emulation_results = your_program.bloqade.python().run(100) +hardware_results = your_program.braket.aquila.run_async(100) + +save(emulation_results, "emulation_results.json") +save(hardware_results, "hardware_results.json") +``` + +And later reload them into Python using the `load` function: + +```python +from bloqade import load +emulation_results = load("emulation_results.json") +hardware_results = load("hardware_results.json") +``` diff --git a/mkdocs.yml b/mkdocs.yml index 60207c54d..6fba54abc 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -11,7 +11,7 @@ edit_uri: 'edit/main/docs/' nav: - Home: - index.md - - Bloqade 101: home/bloqade_101.md + - Quickstart: home/quick_start.md - Getting Started: home/getting_started.md - Advanced Usage: home/advanced_usage.md - Gotchas: home/gotchas.md @@ -85,6 +85,7 @@ extra_css: - stylesheets/extra.css plugins: + - autorefs - search: separator: '[\s\-,:!=\[\: )"`/]+|\.(?!\d)|&[lg]t;|(?!\b)(?=[A-Z][a-z])' - gen-files:

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