Demo DQI (#1524)

**Title:** 
Decoded quantum interferometry on pennylane

- [ ] Tutorial
- [x] Demo
- [ ] How-to

Author: daniela-angulo

_static/demo_thumbnails/large_demo_thumbnails/pennylane-demo-decoded-quantum-interferometry-large-thumbnail.png

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+{
+    "title": "Decoded Quantum Interferometry",
+    "authors": [
+        {
+            "username": "daniela"
+        }
+    ],
+    "executable_stable": true,
+    "executable_latest": true,
+    "dateOfPublication": "2025-09-19T10:00:00+00:00",
+    "dateOfLastModification": "2025-09-19T10:00:00+00:01",
+    "categories": [
+        "Algorithms"
+    ],
+    "tags": [],
+    "previewImages": [
+        {
+            "type": "thumbnail",
+            "uri": "/_static/demo_thumbnails/regular_demo_thumbnails/pennylane-demo-decoded-quantum-interferometry-thumbnail.png"
+        },
+        {
+            "type": "large_thumbnail",
+            "uri": "/_static/demo_thumbnails/large_demo_thumbnails/pennylane-demo-decoded-quantum-interferometry-large-thumbnail.png"
+        }
+    ],
+    "seoDescription": "Learn how to implement decoded quantum interferometry in Pennylane to solve the max-XORSAT problem",
+    "doi": "",
+    "references": [
+        {
+            "id": "Jordan2024",
+            "type": "article",
+            "title": "Optimization by Decoded Quantum Interferometry",
+            "authors": "Stephen P. Jordan, Noah Shutty, Mary Wootters, Adam Zalcman, Alexander Schmidhuber, Robbie King, Sergei V. Isakov, Tanuj Khattar, Ryan Babbush",
+            "year": "2024",
+            "journal": "arXiv",
+            "url": "https://arxiv.org/abs/2408.08292"
+        },
+        {
+            "id": "Bartschi2019",
+            "type": "article",
+            "title": "Deterministic Preparation of Dicke States",
+            "authors": "Andreas Bärtschi, Stephan Eidenbenz",
+            "year": "2019",
+            "journal": "arXiv",
+            "url": "https://arxiv.org/abs/1904.07358"
+        },
+        {
+            "id": "Patamawisut2025",
+            "type": "article",
+            "title": "Quantum Circuit Design for Decoded Quantum Interferometry",
+            "authors": "Natchapol Patamawisut, Naphan Benchasattabuse, Michal Hajdušek, Rodney Van Meter",
+            "year": "2025",
+            "journal": "arXiv",
+            "url": "https://arxiv.org/abs/2504.18334"
+        },
+        {
+            "id": "Classiq2025",
+            "type": "webpage",
+            "title": "Decoded Quantum Interferometry Algorithm",
+            "authors": "Classiq",
+            "year": "2025",
+            "url": "https://docs.classiq.io/latest/explore/algorithms/dqi/dqi_max_xorsat/"
+        }
+    ],
+    "basedOnPapers": [
+        "10.48550/arXiv.2408.08292"
+    ],
+    "referencedByPapers": [],
+    "relatedContent": [
+        {
+            "type": "demonstration",
+            "id": "tutorial_qft_and_groups",
+            "weight": 1.0
+        },
+        {
+            "type": "demonstration",
+            "id": "tutorial_bp_catalyst",
+            "weight": 1.0
+        },
+        {
+            "type": "demonstration",
+            "id": "tutorial_qft",
+            "weight": 1.0
+        }
+    ]
+}

_static/demo_thumbnails/opengraph_demo_thumbnails/pennylane-demo-decoded-quantum-interferometry-open-graph.png

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+# Pinned as pennylane 0.42.2 requires this version
+autoray==0.6.11