Fix result for the Demo how_to_catalyst_lightning_gpu.py (#1438)

**Title:**
Fix result for the Demo `how_to_catalyst_lightning_gpu.py`

**Summary:**
Since JAX v0.5.0, the PRNGKey behaviour has been updated, so using the
same PRNGKey with different versions of JAX will impact what outputs
jax.random gives.

**Relevant references:**

**Possible Drawbacks:**

**Related GitHub Issues:**
[sc-95314]

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

* GOALS — Why are we working on this now?

*Eg. Promote a new PL feature or show a PL implementation of a recent
paper.*


* AUDIENCE — Who is this for?

*Eg. Chemistry researchers, PL educators, beginners in quantum
computing.*


* KEYWORDS — What words should be included in the marketing post?


* 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

Author: LuisAlfredoNu

demonstrations/how_to_catalyst_lightning_gpu.metadata.json

@@ -9,7 +9,7 @@
         }
     ],
     "dateOfPublication": "2025-02-21T10:00:00+00:00",
-    "dateOfLastModification": "2025-02-21T10:00:00+00:00",
+    "dateOfLastModification": "2025-07-11T10:00:00+00:00",
     "categories": [
         "Getting Started",
         "Quantum Chemistry",

demonstrations/how_to_catalyst_lightning_gpu.py

@@ -107,7 +107,7 @@
 #
 #  .. code-block:: none
 #
-#    1.7712995142661776
+#    1.2454125296886156
 #
 # Lightning-GPU has feature parity with `the rest of Lightning state-vector simulators <https://docs.pennylane.ai/projects/lightning/en/stable>`__,
 # providing native support for many PennyLane's operations and measurement processes with
@@ -141,7 +141,7 @@
 #
 #  .. code-block:: none
 #
-#    [ 8.8817842e-16 ... -6.2915415e-01  0.0000000e+00]
+#    [ -1.1102230e-16 ... -7.2645772e-01  0.0000000e+00]
 #
 #
 # Note that in the above example, we didn't use ``method="adjoint"``.
@@ -194,7 +194,7 @@
 #    Step = 7
 #    Step = 8
 #    Step = 9
-#    [1.24479175e-01 ... 9.45755959e-01 4.64060426e-01]
+#    [0.947667 ... 3.093198 0.8401809 ]
 #
 #
 # We used `Optax <https://github.com/google-deepmind/optax>`__,