Demo formatting fixes (#1597)

After merging the new Pandoc table filter, [two demos failed to
build](https://github.com/PennyLaneAI/qml/actions/runs/19247842016/job/55026204946).
In one case the figures were wrapped in an unnecessary extra directive,
while in the other the Sphinx Gallery code blocks were not properly
indented. This PR reformats those two demos so they will build correctly
with the filters and produce valid Jupyter notebooks.

Author: doctorperceptron

demonstrations_v2/how_to_use_qiskit1_with_pennylane/demo.py

@@ -322,7 +322,6 @@ def qiskit_GHZ_circuit(n):
 
 
 ######################################################################
-# .. rst-class:: image-no-text-wrap
 #
 # .. figure:: ../_static/demonstration_assets/how_to_use_qiskit_1_with_pennylane/qiskit_parameterized_circuit.png
 #     :align: center
@@ -365,7 +364,6 @@ def differentiable_circuit(phis, theta):
 #
 
 ######################################################################
-# .. rst-class:: image-no-text-wrap
 #
 # .. figure:: ../_static/demonstration_assets/how_to_use_qiskit_1_with_pennylane/pl_real_world_example.png
 #     :align: center
@@ -430,4 +428,4 @@ def cost(phis, theta):
 # the latest and greatest `PennyLane features </features/>`__, `Demos </qml/demonstrations/>`__ and our `blog posts </blog/>`__, and follow us on
 # `LinkedIn <https://www.linkedin.com/company/pennylaneai/>`__ or `X (formerly
 # Twitter) <https://twitter.com/PennyLaneAI>`__ to stay updated!
-#
+#

demonstrations_v2/how_to_use_qiskit1_with_pennylane/metadata.json

@@ -8,7 +8,7 @@
     "executable_stable": false,
     "executable_latest": false,
     "dateOfPublication": "2024-07-02T00:00:00+00:00",
-    "dateOfLastModification": "2025-10-15T00:00:00+00:00",
+    "dateOfLastModification": "2025-11-11T00:00:00+00:00",
     "categories": [
         "Quantum Computing",
         "How-to"
@@ -56,4 +56,4 @@
             "weight": 1.0
         }
     ]
-}
+}

demonstrations_v2/linear_equations_hhl_qrisp_catalyst/demo.py

@@ -75,24 +75,24 @@ class inheritance. This simplification allows developers to focus on the algorit
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
-#
-#    QuantumCircuit:
-#    ---------------
-#            ┌───┐┌───┐
-#    qv_0.0: ┤ H ├┤ Z ├──■──
-#            ├───┤└───┘  │
-#    qv_0.1: ┤ Z ├───────┼──
-#            ├───┤       │
-#    qv_0.2: ┤ Z ├───────┼──
-#            ├───┤     ┌─┴─┐
-#    qv_0.3: ┤ Z ├─────┤ X ├
-#            ├───┤     └───┘
-#    qv_0.4: ┤ Z ├──────────
-#            └───┘
-#    Live QuantumVariables:
-#    ----------------------
-#    QuantumVariable qv_0
+#   .. code-block:: none
+#
+#      QuantumCircuit:
+#      ---------------
+#              ┌───┐┌───┐
+#      qv_0.0: ┤ H ├┤ Z ├──■──
+#              ├───┤└───┘  │
+#      qv_0.1: ┤ Z ├───────┼──
+#              ├───┤       │
+#      qv_0.2: ┤ Z ├───────┼──
+#              ├───┤     ┌─┴─┐
+#      qv_0.3: ┤ Z ├─────┤ X ├
+#              ├───┤     └───┘
+#      qv_0.4: ┤ Z ├──────────
+#              └───┘
+#      Live QuantumVariables:
+#      ----------------------
+#      QuantumVariable qv_0
 
 ######################################################################
 # So far, this doesn’t seem that different from what you are used to, but it provides the
@@ -112,9 +112,9 @@ class inheritance. This simplification allows developers to focus on the algorit
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {0.0: 0.125, 0.25: 0.125, 0.5: 0.125, 0.75: 0.125, 1.0: 0.125, 1.25: 0.125, 1.5: 0.125, 1.75: 0.125}
+#     {0.0: 0.125, 0.25: 0.125, 0.5: 0.125, 0.75: 0.125, 1.0: 0.125, 1.25: 0.125, 1.5: 0.125, 1.75: 0.125}
 
 ######################################################################
 # Here, ``msize=3`` indicates the amount of mantissa qubits, which represent the significant digits of
@@ -154,12 +154,12 @@ class inheritance. This simplification allows developers to focus on the algorit
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {7: 1.0}
-#    {-2: 1.0}
-#    {-4: 1.0}
-#    {2.5: 1.0}
+#     {7: 1.0}
+#     {-2: 1.0}
+#     {-4: 1.0}
+#     {2.5: 1.0}
 
 ######################################################################
 # Another QuantumType we will use in this demo are the QuantumBools, representing boolean truth
@@ -174,9 +174,9 @@ class inheritance. This simplification allows developers to focus on the algorit
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {False: 0.5, True: 0.5}
+#     {False: 0.5, True: 0.5}
 
 ######################################################################
 # With a second QuantumBool, we can demonstrate and evaluate some logical functions:
@@ -190,11 +190,11 @@ class inheritance. This simplification allows developers to focus on the algorit
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {False: 1.0}
-#    {False: 0.5, True: 0.5}
-#    {False: 1.0}
+#     {False: 1.0}
+#     {False: 0.5, True: 0.5}
+#     {False: 1.0}
 
 ######################################################################
 # Comparisons, however, are not limited to only QuantumBools, but also for other types, like the
@@ -211,11 +211,11 @@ class inheritance. This simplification allows developers to focus on the algorit
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {0: 0.5, 8: 0.5}
-#    {False: 0.5, True: 0.5}
-#    sqrt(2)*(|0>*|False> + |8>*|True>)/2
+#     {0: 0.5, 8: 0.5}
+#     {False: 0.5, True: 0.5}
+#     sqrt(2)*(|0>*|False> + |8>*|True>)/2
 
 ######################################################################
 # We can also compare one QuantumFloat to another:
@@ -229,9 +229,9 @@ class inheritance. This simplification allows developers to focus on the algorit
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    sqrt(2)*(|0>*|False>*|4>*|True> + |8>*|True>*|4>*|False>)/2
+#     sqrt(2)*(|0>*|False>*|4>*|True> + |8>*|True>*|4>*|False>)/2
 
 ######################################################################
 # Jasp
@@ -356,9 +356,9 @@ def U(psi):
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {(0, 0.0): 0.25, (1, 0.5): 0.25, (2, 0.125): 0.25, (3, 0.625): 0.25}
+#     {(0, 0.0): 0.25, (1, 0.5): 0.25, (2, 0.125): 0.25, (3, 0.625): 0.25}
 
 ######################################################################
 # Here, the measurement results are given by a dictionary, where the keys are are tuples representing
@@ -382,9 +382,9 @@ def main():
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {0.625: 1.0}
+#     {0.625: 1.0}
 
 ######################################################################
 # Executing the ``main`` function with the ``terminal_sampling`` decorator returns the measurement
@@ -506,9 +506,9 @@ def fake_inversion(qf, res=None):
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {(0.125, 8): 0.3333333333333333, (0.25, 4): 0.3333333333333333, (0.5, 2): 0.3333333333333333}
+#      {(0.125, 8): 0.3333333333333333, (0.25, 4): 0.3333333333333333, (0.5, 2): 0.3333333333333333}
 
 ######################################################################
 # Next, we define the function ``HHL_encoding`` that performs **Steps 1-4** and prepares the state
@@ -652,9 +652,9 @@ def main():
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    {0.0: 0.7071067811865476, 1.0: 0.7071067811865476}
+#     {0.0: 0.7071067811865476, 1.0: 0.7071067811865476}
 
 ######################################################################
 # Finally, let’s compare to the classical result.
@@ -666,9 +666,9 @@ def main():
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    [0.70710678 0.70710678]
+#     [0.70710678 0.70710678]
 
 ######################################################################
 # Et voila! Now, let’s tackle some more complicated examples! Next, we try some randomly generated
@@ -717,29 +717,29 @@ def U(qf):
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
-#
-#    Hermitian matrix A:
-#    [[ 0.19252221  0.03518761 -0.08725666  0.02288045  0.04538538  0.03247052
-#      -0.06519315 -0.06229545]
-#     [ 0.03518761  0.28758984  0.03595881  0.06702119  0.03489919  0.07145221
-#       0.07085617 -0.10555209]
-#     [-0.08725666  0.03595881  0.28859598  0.00165777 -0.05503796 -0.03801707
-#       0.13179087  0.03443008]
-#     [ 0.02288045  0.06702119  0.00165777  0.26810863 -0.12651043  0.00385685
-#      -0.01492278 -0.10505962]
-#     [ 0.04538538  0.03489919 -0.05503796 -0.12651043  0.34469893  0.07605711
-#       0.01253655  0.02660667]
-#     [ 0.03247052  0.07145221 -0.03801707  0.00385685  0.07605711  0.31567327
-#       0.080171   -0.01770181]
-#     [-0.06519315  0.07085617  0.13179087 -0.01492278  0.01253655  0.080171
-#       0.30119828  0.03446737]
-#     [-0.06229545 -0.10555209  0.03443008 -0.10505962  0.02660667 -0.01770181
-#       0.03446737  0.25161286]]
-#    Eigenvalues:
-#    [0.25  0.5   0.5   0.125 0.125 0.5   0.125 0.125]
-#    b:
-#    [1 0 0 0 0 0 0 1]
+#   .. code-block:: none
+#
+#     Hermitian matrix A:
+#     [[ 0.19252221  0.03518761 -0.08725666  0.02288045  0.04538538  0.03247052
+#       -0.06519315 -0.06229545]
+#      [ 0.03518761  0.28758984  0.03595881  0.06702119  0.03489919  0.07145221
+#        0.07085617 -0.10555209]
+#      [-0.08725666  0.03595881  0.28859598  0.00165777 -0.05503796 -0.03801707
+#        0.13179087  0.03443008]
+#      [ 0.02288045  0.06702119  0.00165777  0.26810863 -0.12651043  0.00385685
+#       -0.01492278 -0.10505962]
+#      [ 0.04538538  0.03489919 -0.05503796 -0.12651043  0.34469893  0.07605711
+#        0.01253655  0.02660667]
+#      [ 0.03247052  0.07145221 -0.03801707  0.00385685  0.07605711  0.31567327
+#        0.080171   -0.01770181]
+#      [-0.06519315  0.07085617  0.13179087 -0.01492278  0.01253655  0.080171
+#        0.30119828  0.03446737]
+#      [-0.06229545 -0.10555209  0.03443008 -0.10505962  0.02660667 -0.01770181
+#        0.03446737  0.25161286]]
+#     Eigenvalues:
+#     [0.25  0.5   0.5   0.125 0.125 0.5   0.125 0.125]
+#     b:
+#     [1 0 0 0 0 0 0 1]
 
 
 @qrisp.terminal_sampling
@@ -758,10 +758,10 @@ def main():
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    array([0.73688311, 0.11916253, 0.09056467, 0.11650071, 0.09336856,
-#           0.04641304, 0.04607175, 0.63877596])
+#     array([0.73688311, 0.11916253, 0.09056467, 0.11650071, 0.09336856,
+#            0.04641304, 0.04607175, 0.63877596])
 
 ######################################################################
 # Let’s compare to the classical solution:
@@ -773,10 +773,10 @@ def main():
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    [ 0.73761732  0.11838953  0.08853343  0.11632373 -0.09299411 -0.04581715
-#      0.04179596  0.63878104]
+#     [ 0.73761732  0.11838953  0.08853343  0.11632373 -0.09299411 -0.04581715
+#       0.04179596  0.63878104]
 
 ######################################################################
 # First of all, kudos for making it to this point of the demo. Prior to proceeding to the final
@@ -848,34 +848,34 @@ def main():
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
-#
-#    ; ModuleID = 'LLVMDialectModule'
-#    source_filename = "LLVMDialectModule"
-#    target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
-#    target triple = "x86_64-unknown-linux-gnu"
-#
-#    @"{'shots': 0, 'mcmc': False, 'num_burnin': 0, 'kernel_name': None}" = internal constant [66 x i8] c"{'shots': 0, 'mcmc': False, 'num_burnin': 0, 'kernel_name': None}\00"
-#    @LightningSimulator = internal constant [19 x i8] c"LightningSimulator\00"
-#    @"/home/positr0nium/miniforge3/envs/qrisp/lib/python3.10/site-packages/pennylane_lightning/liblightning_qubit_catalyst.so" = internal constant [120 x i8] c"/home/positr0nium/miniforge3/envs/qrisp/lib/python3.10/site-packages/pennylane_lightning/liblightning_qubit_catalyst.so\00"
-#    @__constant_xi64_3 = private constant i64 -4
-#    @__constant_1024xi64 = private constant [1024 x i64] zeroinitializer
-#    @__constant_xi1 = private constant i1 false
-#    @__constant_xi64_2 = private constant i64 4
-#    @__constant_xi64_1 = private constant i64 3
-#    @__constant_xi64_0 = private constant i64 30
-#    @__constant_30xi64 = private constant [30 x i64] [i64 30, i64 29, i64 28, i64 27, i64 26, i64 25, i64 24, i64 23, i64 22, i64 21, i64 20, i64 19, i64 18, i64 17, i64 16, i64 15, i64 14, i64 13, i64 12, i64 11, i64 10, i64 9, i64 8, i64 7, i64 6, i64 5, i64 4, i64 3, i64 2, i64 1]
-#    @__constant_xf64_34 = private constant double 0xBF919CF5D85DB47A
-#    @__constant_xf64_33 = private constant double 0xBF89C4C2643A2DEA
-#    @__constant_xf64_32 = private constant double 0xBF8696E980F4B09E
-#    @__constant_xf64_31 = private constant double 0x3F69A6304F46D56B
-#    @__constant_xf64_30 = private constant double 0xBF97F300BE6AA82E
-#    @__constant_xf64_29 = private constant double 0x3F75120CFFA6C0C9
-#    @__constant_xf64_28 = private constant double 0x3FA0EEDA934AC632
-#    @__constant_xf64_27 = private constant double 0x3F9B793155FE33E5
-#    @__constant_xf64_26 = private constant double 0x3EFEF5A8835D9B8E
-#    @__constant_xf64_25 = private constant double 0xBF826D7D6D20BB88
-#    @__constant_xf64_24 = private const
+#   .. code-block:: none
+#
+#     ; ModuleID = 'LLVMDialectModule'
+#     source_filename = "LLVMDialectModule"
+#     target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
+#     target triple = "x86_64-unknown-linux-gnu"
+#
+#     @"{'shots': 0, 'mcmc': False, 'num_burnin': 0, 'kernel_name': None}" = internal constant [66 x i8] c"{'shots': 0, 'mcmc': False, 'num_burnin': 0, 'kernel_name': None}\00"
+#     @LightningSimulator = internal constant [19 x i8] c"LightningSimulator\00"
+#     @"/home/positr0nium/miniforge3/envs/qrisp/lib/python3.10/site-packages/pennylane_lightning/liblightning_qubit_catalyst.so" = internal constant [120 x i8] c"/home/positr0nium/miniforge3/envs/qrisp/lib/python3.10/site-packages/pennylane_lightning/liblightning_qubit_catalyst.so\00"
+#     @__constant_xi64_3 = private constant i64 -4
+#     @__constant_1024xi64 = private constant [1024 x i64] zeroinitializer
+#     @__constant_xi1 = private constant i1 false
+#     @__constant_xi64_2 = private constant i64 4
+#     @__constant_xi64_1 = private constant i64 3
+#     @__constant_xi64_0 = private constant i64 30
+#     @__constant_30xi64 = private constant [30 x i64] [i64 30, i64 29, i64 28, i64 27, i64 26, i64 25, i64 24, i64 23, i64 22, i64 21, i64 20, i64 19, i64 18, i64 17, i64 16, i64 15, i64 14, i64 13, i64 12, i64 11, i64 10, i64 9, i64 8, i64 7, i64 6, i64 5, i64 4, i64 3, i64 2, i64 1]
+#     @__constant_xf64_34 = private constant double 0xBF919CF5D85DB47A
+#     @__constant_xf64_33 = private constant double 0xBF89C4C2643A2DEA
+#     @__constant_xf64_32 = private constant double 0xBF8696E980F4B09E
+#     @__constant_xf64_31 = private constant double 0x3F69A6304F46D56B
+#     @__constant_xf64_30 = private constant double 0xBF97F300BE6AA82E
+#     @__constant_xf64_29 = private constant double 0x3F75120CFFA6C0C9
+#     @__constant_xf64_28 = private constant double 0x3FA0EEDA934AC632
+#     @__constant_xf64_27 = private constant double 0x3F9B793155FE33E5
+#     @__constant_xf64_26 = private constant double 0x3EFEF5A8835D9B8E
+#     @__constant_xf64_25 = private constant double 0xBF826D7D6D20BB88
+#     @__constant_xf64_24 = private const
 
 ######################################################################
 # The Catalyst runtime
@@ -915,9 +915,9 @@ def main():
 ######################################################################
 # .. rst-class:: sphx-glr-script-out
 #
-# .. code-block:: none
+#   .. code-block:: none
 #
-#    [1.0, 1.0, 0.0, 1.0, 0.0]
+#     [1.0, 1.0, 0.0, 1.0, 0.0]
 
 ######################################################################
 # Scrolling back to the :ref:`terminal_sampling` cell, we see that the

demonstrations_v2/linear_equations_hhl_qrisp_catalyst/metadata.json

@@ -14,7 +14,7 @@
     "executable_stable": false,
     "executable_latest": false,
     "dateOfPublication": "2025-02-26T09:00:00+00:00",
-    "dateOfLastModification": "2025-09-22T15:48:14+00:00",
+    "dateOfLastModification": "2025-11-11T00:00:00+00:00",
     "categories": [
         "Algorithms",
         "Quantum Computing"
@@ -98,4 +98,4 @@
             "weight": 1.0
         }
     ]
-}
+}