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Qiskit · Nov 1, 2024 · 5b1fbf7 · 5b1fbf7
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diff --git a/docs/api/qiskit-addon-obp/utils-metadata-obp-metadata.mdx b/docs/api/qiskit-addon-obp/utils-metadata-obp-metadata.mdx
@@ -58,7 +58,7 @@ python_api_name: qiskit_addon_obp.utils.metadata.OBPMetadata
 
     This method computes the accumulated error for a given observable index at a given “time” during the course of the backpropagation. In this context, “time” is to be understood as the discrete steps of already backpropagated slices.
 
-    The accumulated error is computed as the sum of the individual [`SliceMetadata.slice_errors`](utils-metadata-slice-metadata#slice_errors "qiskit_addon_obp.utils.metadata.SliceMetadata.slice_errors"). These in turn may be computed within a specified [`TruncationErrorBudget.p_norm`](utils-truncating#TruncationErrorBudget.p_norm "qiskit_addon_obp.utils.truncating.TruncationErrorBudget.p_norm"). Thus, the computed accumulated error is an upper bound to the real accumulated error as given by the [Minkowski inequality](https://en.wikipedia.org/wiki/Minkowski_inequality) (the generalization of the triangle inequality for Lp-norms other than `p=2`).
+    The accumulated error is computed as the sum of the individual [`SliceMetadata.slice_errors`](utils-metadata-slice-metadata#slice_errors "qiskit_addon_obp.utils.metadata.SliceMetadata.slice_errors"). These in turn may be computed within a specified [`TruncationErrorBudget.p_norm`](utils-truncating#p_norm "qiskit_addon_obp.utils.truncating.TruncationErrorBudget.p_norm"). Thus, the computed accumulated error is an upper bound to the real accumulated error as given by the [Minkowski inequality](https://en.wikipedia.org/wiki/Minkowski_inequality) (the generalization of the triangle inequality for Lp-norms other than `p=2`).
 
     <Admonition title="Note" type="note">
       Since a general Lp-norm (other than `p=2`) is *not* an inner product norm, it does *not* satisfy the [parallelogram law](https://en.wikipedia.org/wiki/Parallelogram_law). Hence, we must use the Minkowski inequality as the upper bound of the accumulated error.
@@ -103,7 +103,7 @@ python_api_name: qiskit_addon_obp.utils.metadata.OBPMetadata
 
     This method computes the left-over error budget for a given observable index at a given “time” during the course of the backpropagation. In this context, “time” is to be understood as the discrete steps of already backpropagated slices.
 
-    The left-over error budget is computed as the remainder of the total budget minus the sum of the individual [`SliceMetadata.slice_errors`](utils-metadata-slice-metadata#slice_errors "qiskit_addon_obp.utils.metadata.SliceMetadata.slice_errors"). These in turn may be computed within a specified [`TruncationErrorBudget.p_norm`](utils-truncating#TruncationErrorBudget.p_norm "qiskit_addon_obp.utils.truncating.TruncationErrorBudget.p_norm").
+    The left-over error budget is computed as the remainder of the total budget minus the sum of the individual [`SliceMetadata.slice_errors`](utils-metadata-slice-metadata#slice_errors "qiskit_addon_obp.utils.metadata.SliceMetadata.slice_errors"). These in turn may be computed within a specified [`TruncationErrorBudget.p_norm`](utils-truncating#p_norm "qiskit_addon_obp.utils.truncating.TruncationErrorBudget.p_norm").
 
     <Admonition title="Note" type="note">
       See also the explanations in [`accumulated_error()`](#qiskit_addon_obp.utils.metadata.OBPMetadata.accumulated_error "qiskit_addon_obp.utils.metadata.OBPMetadata.accumulated_error") for more details on how the individual slice errors are summed up to form an upper bound to the real error via the Minkowski inequality.

diff --git a/docs/api/qiskit-addon-obp/utils-metadata-slice-metadata.mdx b/docs/api/qiskit-addon-obp/utils-metadata-slice-metadata.mdx
@@ -63,7 +63,7 @@ python_api_name: qiskit_addon_obp.utils.metadata.SliceMetadata
     The sum of the coefficients for each observable that were trimmed during operator simplification because each individual coefficient was below the trimming threshold.
 
     <Admonition title="Warning" type="caution">
-      This sum is *not* affected by the value of [`p_norm`](utils-truncating#TruncationErrorBudget.p_norm "qiskit_addon_obp.utils.truncating.TruncationErrorBudget.p_norm")!
+      This sum is *not* affected by the value of [`p_norm`](utils-truncating#p_norm "qiskit_addon_obp.utils.truncating.TruncationErrorBudget.p_norm")!
     </Admonition>
 
     <Admonition title="Note" type="note">

diff --git a/docs/api/qiskit-ibm-runtime/0.31/_toc.json b/docs/api/qiskit-ibm-runtime/0.31/_toc.json
@@ -514,4 +514,3 @@
   ],
   "collapsed": true
 }
-
diff --git a/docs/guides/latest-updates.mdx b/docs/guides/latest-updates.mdx
@@ -202,5 +202,5 @@ Join, participate, contribute! See what events are coming up on the [Qiskit comm
 ## See all product updates
 
 <Admonition type="tip" title="">
-Visit the [Product announcements](https://docs.quantum.ibm.com/announcements/product-updates) to browse all product updates and news.
+Visit the [Product announcements](/announcements/product-updates) to browse all product updates and news.
 </Admonition>