Demo on " Constant-depth preparation of matrix product states with dy…

…namic circuits" (#1185) **Title:** Constant-depth preparation of matrix product states with dynamic circuits **Summary:** Matrix product states (MPS) form an important class of quantum many-body states. Preparing them is an important subroutine for any algorithm that want to use MPS as an initial state, for example. A recent paper, on which this demo is based, and which it is following closely, generalized a method that reduces the depth of such a preparation circuit to constant scaling, by using auxiliary qubits and dynamic quantum circuits (mid-circuit measurements together with classical feedforward). We here focus on the simplest scenario in the main text of the paper, and implement a simple example in code. The implemented MPS has a parameter controlling the correlation length of the prepared state, which we verify explicitly. **Relevant references:** https://arxiv.org/pdf/2404.16083 https://arxiv.org/pdf/quant-ph/0501096 https://journals.aps.org/prxquantum/pdf/10.1103/PRXQuantum.4.020315 **Possible Drawbacks:** **Related GitHub Issues:** ---- If you are writing a demonstration, please answer these questions to facilitate the marketing process. * GOALS — Why are we working on this now? Mid-circuit measurements recently are/were a focus point in PennyLane. MPS states are used in some quantum chemistry algorithms as initial state. * AUDIENCE — Who is this for? Researchers in quantum algorithms * KEYWORDS — What words should be included in the marketing post? TBD * Which of the following types of documentation is most similar to your file? (more details [here](https://www.notion.so/xanaduai/Different-kinds-of-documentation-69200645fe59442991c71f9e7d8a77f8)) - [ ] Tutorial - [x] Demo - [ ] How-to [sc-64275] --------- Co-authored-by: Korbinian Kottmann <[email protected]> Co-authored-by: Ivana Kurečić <[email protected]>
PennyLaneAI · Oct 9, 2024 · acd1f70 · acd1f70
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diff --git a/...mo_thumbnails/large_demo_thumbnails/thumbnail_large_constant_depth_mps_prep.png b/...mo_thumbnails/large_demo_thumbnails/thumbnail_large_constant_depth_mps_prep.png
diff --git a/...mo_thumbnails/opengraph_demo_thumbnails/OGthumbnail_constant_depth_mps_prep.png b/...mo_thumbnails/opengraph_demo_thumbnails/OGthumbnail_constant_depth_mps_prep.png
diff --git a/...c/demo_thumbnails/regular_demo_thumbnails/thumbnail_constant_depth_mps_prep.png b/...c/demo_thumbnails/regular_demo_thumbnails/thumbnail_constant_depth_mps_prep.png
diff --git a/_static/demonstration_assets/constant_depth_mps_prep/algorithm.png b/_static/demonstration_assets/constant_depth_mps_prep/algorithm.png
diff --git a/_static/demonstration_assets/constant_depth_mps_prep/algorithm_preview.png b/_static/demonstration_assets/constant_depth_mps_prep/algorithm_preview.png
diff --git a/_static/demonstration_assets/constant_depth_mps_prep/fusion.png b/_static/demonstration_assets/constant_depth_mps_prep/fusion.png
diff --git a/_static/demonstration_assets/constant_depth_mps_prep/operator_pushing.png b/_static/demonstration_assets/constant_depth_mps_prep/operator_pushing.png
diff --git a/_static/demonstration_assets/constant_depth_mps_prep/operator_pushing_example.png b/_static/demonstration_assets/constant_depth_mps_prep/operator_pushing_example.png
diff --git a/_static/demonstration_assets/constant_depth_mps_prep/sequential.png b/_static/demonstration_assets/constant_depth_mps_prep/sequential.png
diff --git a/demonstrations/tutorial_constant_depth_mps_prep.metadata.json b/demonstrations/tutorial_constant_depth_mps_prep.metadata.json
@@ -0,0 +1,47 @@
+{
+    "title": "Constant-depth preparation of matrix product states with dynamic circuits",
+    "authors": [
+        {
+            "username": "dwierichs"
+        }
+    ],
+    "dateOfPublication": "2024-10-09T00:00:00+00:00",
+    "dateOfLastModification": "2024-10-09T00:00:00+00:00",
+    "categories": [
+        "Quantum Computing",
+        "Algorithms"
+    ],
+    "tags": [],
+    "previewImages": [
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+            "uri": "/_static/demo_thumbnails/regular_demo_thumbnails/thumbnail_constant_depth_mps_prep.png"
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+            "uri": "/_static/demo_thumbnails/large_demo_thumbnails/thumbnail_large_constant_depth_mps_prep.png"
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+    ],
+    "seoDescription": "Prepare a matrix product state (MPS) in constant depth with mid-circuit measurements and feedforward control.",
+    "doi": "",
+    "references": [],
+    "basedOnPapers": ["10.48550/arXiv.2404.16083"],
+    "referencedByPapers": [],
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+}
diff --git a/demonstrations/tutorial_constant_depth_mps_prep.py b/demonstrations/tutorial_constant_depth_mps_prep.py