diff --git a/docs/source/_static/img/grover-perceval.png b/docs/source/_static/img/grover-perceval.png index 2b2b2f203..06be7c223 100644 Binary files a/docs/source/_static/img/grover-perceval.png and b/docs/source/_static/img/grover-perceval.png differ diff --git a/docs/source/notebooks/2-mode_Grover_algorithm.ipynb b/docs/source/notebooks/2-mode_Grover_algorithm.ipynb index 3a41f8cd5..3e86ab486 100644 --- a/docs/source/notebooks/2-mode_Grover_algorithm.ipynb +++ b/docs/source/notebooks/2-mode_Grover_algorithm.ipynb @@ -201,7 +201,7 @@ "" ], "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -262,15 +262,15 @@ "\n", "\n", "\n", - "\n", - "\n", - "\n", - "ξ=pi/8\n", - "δ=pi/2\n", - "\n", - "\n", - "Φ=3*pi/2\n", - "\n", + "\n", + "\n", + "\n", + "ξ=pi/8\n", + "δ=pi/2\n", + "\n", + "\n", + "Φ=3*pi/2\n", + "\n", "\n", "\n", "\n", @@ -294,7 +294,7 @@ "" ], "text/plain": [ - "" + "" ] }, "execution_count": 5, @@ -304,7 +304,7 @@ ], "source": [ "init_circuit = (pcvl.Circuit(m=2, name=\"Initialization\")\n", - " // HWP(math.pi / 8)\n", + " // (1,HWP(math.pi / 8))\n", " // bsry\n", " // pcvl.PS(-math.pi))\n", "\n", @@ -333,7 +333,7 @@ "image/svg+xml": [ "\n", "\n", + " width=\"445.0\" height=\"156.25\" viewBox=\"-28.0 0 356.0 125.0\">\n", "\n", "\n", "\n", @@ -351,6 +351,14 @@ "\n", "\n", "δ=pi/2\n", + "\n", + "\n", + "\n", + "ξ=0\n", + "δ=pi/2\n", + "\n", + "\n", + "Φ=3*pi/2\n", "\n", "\n", "\n", @@ -359,17 +367,25 @@ "\n", "\n", "Φ=3*pi/2\n", - "\n", - "\n", - "\n", - "0\n", - "1\n", + "\n", + "\n", + "\n", + "ξ=0\n", + "δ=pi/2\n", + "\n", + "\n", + "Φ=3*pi/2\n", + "\n", + "\n", + "\n", + "0\n", + "1\n", "0\n", "1\n", "" ], "text/plain": [ - "" + "" ] }, "execution_count": 6, @@ -397,7 +413,7 @@ " oracle_circuit //= (1, HWP(0))\n", " return oracle_circuit\n", "\n", - "pcvl.pdisplay(oracle(0))" + "pcvl.pdisplay(oracle(2))" ] }, { @@ -435,15 +451,15 @@ "\n", "\n", "Ry\n", - "\n", - "\n", - "\n", - "ξ=pi/4\n", - "δ=pi/2\n", - "\n", - "\n", - "Φ=3*pi/2\n", - "\n", + "\n", + "\n", + "\n", + "ξ=pi/4\n", + "δ=pi/2\n", + "\n", + "\n", + "Φ=3*pi/2\n", + "\n", "\n", "\n", "\n", @@ -463,7 +479,7 @@ "" ], "text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -474,7 +490,7 @@ "source": [ "inversion_circuit = (pcvl.Circuit(m=2, name='Inversion')\n", " // bsry\n", - " // HWP(math.pi / 4)\n", + " // (1,HWP(math.pi / 4))\n", " // bsry)\n", "\n", "pcvl.pdisplay(inversion_circuit)" @@ -540,7 +556,7 @@ "" ], "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -605,15 +621,15 @@ "\n", "\n", "INITIALIZATION\n", - "\n", - "\n", - "\n", - "ξ=pi/8\n", - "δ=pi/2\n", - "\n", - "\n", - "Φ=3*pi/2\n", - "\n", + "\n", + "\n", + "\n", + "ξ=pi/8\n", + "δ=pi/2\n", + "\n", + "\n", + "Φ=3*pi/2\n", + "\n", "\n", "\n", "\n", @@ -664,15 +680,15 @@ "\n", "\n", "Ry\n", - "\n", - "\n", - "\n", - "ξ=pi/4\n", - "δ=pi/2\n", - "\n", - "\n", - "Φ=3*pi/2\n", - "\n", + "\n", + "\n", + "\n", + "ξ=pi/4\n", + "δ=pi/2\n", + "\n", + "\n", + "Φ=3*pi/2\n", + "\n", "\n", "\n", "\n", @@ -691,6 +707,7 @@ "\n", "DETECTION\n", "\n", + "\n", "\n", "\n", "\n", @@ -699,7 +716,6 @@ "\n", "\n", "\n", - "\n", "\n", "\n", "\n", @@ -723,7 +739,7 @@ "" ], "text/plain": [ - "" + "" ] }, "execution_count": 9, @@ -761,7 +777,7 @@ "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -772,7 +788,7 @@ ], "source": [ "# Circuit simulation\n", - "input_state = pcvl.BasicState(\"|{P:H},0, 0, 0>\")\n", + "input_state = pcvl.BasicState(\"|0,{P:H}, 0, 0>\")\n", "results_list = [] # probability amplitudes storage\n", "\n", "for mark in range(4):\n", diff --git a/docs/source/reference/providers.rst b/docs/source/reference/providers.rst index 765fbfe7e..dcfdd0973 100644 --- a/docs/source/reference/providers.rst +++ b/docs/source/reference/providers.rst @@ -14,11 +14,7 @@ When using Quandela Cloud, you have the same capabilities with and without using Scaleway -------- -`Scaleway `_ is a French cloud provider that provides, among a range of offers, binary power to emulate quantum computing compatible with Perceval. - -This Scaleway Quantum as a Service (QaaS) leverages from GPUs like Nvidia P100 and H100 to increase mode limit and accelerate simulations. - -You can find prices and additional information on the `Scaleway Labs QaaS page `_. +`Scaleway Quantum-as-a-Service `_ provides access to allocate and program Quantum Processing Units (QPUs), physical or emulated. Scaleway authentication ^^^^^^^^^^^^^^^^^^^^^^^ @@ -35,8 +31,8 @@ ScalewaySession .. autoclass:: perceval.providers.scaleway.Session :members: -Using a Scaleway session -^^^^^^^^^^^^^^^^^^^^^^^^ +Allocate a QPU session +^^^^^^^^^^^^^^^^^^^^^^ Let's see step by step how to instantiate and use a `Scaleway` session. @@ -50,13 +46,14 @@ Provide your Scaleway Project ID and API key: >>> PROJECT_ID = "your-scaleway-project-id" >>> TOKEN = "your-scaleway-api-key" -Choose one of the Perceval compatible platforms `provided by Scaleway `_: +Choose one of the Perceval compatible platforms `provided by Scaleway `_: ->>> PLATFORM_NAME = "sim:sampling:h100" +>>> PLATFORM_NAME = "EMU-SAMPLING-L4" # For emulated QPU +>>> # PLATFORM_NAME = "QPU-BELENOS-12PQ" # For real QPU You can now create a Scaleway session: ->>> session = scw.Session(platform=PLATFORM_NAME, project_id=PROJECT_ID, token=TOKEN) +>>> session = scw.Session(platform_name=PLATFORM_NAME, project_id=PROJECT_ID, token=TOKEN) >>> session.start() >>> /* ... * Session scope @@ -65,7 +62,7 @@ You can now create a Scaleway session: You can also create a Scaleway session using a ``with`` block: ->>> with scw.Session(platform=PLATFORM_NAME, project_id=PROJECT_ID, token=TOKEN) as session: +>>> with scw.Session(platform_name=PLATFORM_NAME, project_id=PROJECT_ID, token=TOKEN) as session: ... # ... # Session scope ... #