How to for CDF Hamiltonians (#1319)

**Title:** How to build compressed double-factorized Hamiltonians

**Summary:** Describes how to use the CDF functionality in PennyLane

**Relevant references:**

**Possible Drawbacks:** N/A

**Related GitHub Issues:** [sc-81644]

----
If you are writing a demonstration, please answer these questions to
facilitate the marketing process.

* GOALS — Why are we working on this now?

Promote a PL feature enabling compressed double factorization of
Hamiltonians


* AUDIENCE — Who is this for?
Quantum chemistry researchers and PL educators.


* KEYWORDS — What words should be included in the marketing post?
Quantum Chemistry, Compressed Double Factorization, Hamiltonian
Simulation

* 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))
    
- [x] Tutorial
- [ ] Demo
- [X] How-to

---------

Co-authored-by: Justin Pickering <[email protected]>
Co-authored-by: justinpickering <[email protected]>

Author: obliviateandsurrender

_static/demo_thumbnails/large_demo_thumbnails/thumbnail_large_how_to_build_cdf_hamiltonians.png

@@ -0,0 +1,80 @@
+{
+    "title": "How to build compressed double-factorized Hamiltonians",
+    "authors": [
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+            "username": "whatsis"
+        }
+    ],
+    "dateOfPublication": "2025-03-05T09:00:00+00:00",
+    "dateOfLastModification": "2025-03-05T09:00:00+00:00",
+    "categories": [
+        "Quantum Chemistry",
+        "Algorithms",
+        "How-to"
+    ],
+    "tags": [],
+    "previewImages": [
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+            "type": "thumbnail",
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+        },
+        {
+            "type": "large_thumbnail",
+            "uri": "/_static/demo_thumbnails/large_demo_thumbnails/thumbnail_large_how_to_build_cdf_hamiltonians.png"
+        }
+    ],
+    "seoDescription": "Learn how to build compressed double-factorized Hamiltonians with PennyLane.",
+    "doi": "",
+    "references": [
+        {
+            "id": "bliss",
+            "type": "article",
+            "title": "Block-Invariant Symmetry Shift: Preprocessing technique for second-quantized Hamiltonians to improve their decompositions to Linear Combination of Unitaries",
+            "authors": "Ignacio Loaiza, Artur F. Izmaylov",
+            "year": "2023",
+            "publisher": "arXiv",
+            "url": "https://arxiv.org/abs/2304.13772"
+        },
+        {
+            "id": "cdf",
+            "type": "article",
+            "title": "Accelerating Quantum Computations of Chemistry Through Regularized Compressed Double Factorization",
+            "authors": "Oumarou Oumarou, Maximilian Scheurer, Robert M. Parrish, Edward G. Hohenstein, Christian Gogolin",
+            "year": "2024",
+            "publisher": "Quantum",
+            "url": "https://doi.org/10.22331/q-2024-06-13-1371"
+        },
+        {
+            "id": "cdf2",
+            "type": "article",
+            "title": "Quantum Filter Diagonalization with Compressed Double-Factorized Hamiltonians",
+            "authors": "OJeffrey Cohn, Mario Motta, Robert M. Parrish",
+            "year": "2021",
+            "publisher": "PRX Quantum",
+            "url": "https://doi.org/10.1103/PRXQuantum.2.040352"
+        },
+        {
+            "id": "trotter",
+            "type": "article",
+            "title": "Trotter error bounds and dynamic multi-product formulas for Hamiltonian simulation",
+            "authors": "Sergiy Zhuk, Niall Robertson, Sergey Bravyi",
+            "year": "2023",
+            "publisher": "arXiv",
+            "url": "https://arxiv.org/pdf/2306.12569"
+        }
+    ],
+    "basedOnPapers": [],
+    "referencedByPapers": [],
+    "relatedContent": [
+        {
+            "type": "demonstration",
+            "id": "tutorial_quantum_chemistry",
+            "weight": 1.0
+        },
+        {
+            "type": "demonstration",
+            "id": "tutorial_fermionic_operators",
+            "weight": 1.0
+        }
+    ]
+}