diff --git a/Cargo.lock b/Cargo.lock
index 0b70585530ae..16ce56806a75 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -118,6 +118,12 @@ dependencies = [
  "rayon",
 ]
 
+[[package]]
+name = "heck"
+version = "0.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "95505c38b4572b2d910cecb0281560f54b440a19336cbbcb27bf6ce6adc6f5a8"
+
 [[package]]
 name = "indexmap"
 version = "1.9.3"
@@ -141,9 +147,9 @@ dependencies = [
 
 [[package]]
 name = "indoc"
-version = "1.0.9"
+version = "2.0.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "bfa799dd5ed20a7e349f3b4639aa80d74549c81716d9ec4f994c9b5815598306"
+checksum = "1e186cfbae8084e513daff4240b4797e342f988cecda4fb6c939150f96315fd8"
 
 [[package]]
 name = "itertools"
@@ -251,9 +257,9 @@ dependencies = [
 
 [[package]]
 name = "numpy"
-version = "0.19.0"
+version = "0.20.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "437213adf41bbccf4aeae535fbfcdad0f6fed241e1ae182ebe97fa1f3ce19389"
+checksum = "bef41cbb417ea83b30525259e30ccef6af39b31c240bda578889494c5392d331"
 dependencies = [
  "libc",
  "ndarray",
@@ -330,9 +336,9 @@ dependencies = [
 
 [[package]]
 name = "pyo3"
-version = "0.19.2"
+version = "0.20.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "e681a6cfdc4adcc93b4d3cf993749a4552018ee0a9b65fc0ccfad74352c72a38"
+checksum = "04e8453b658fe480c3e70c8ed4e3d3ec33eb74988bd186561b0cc66b85c3bc4b"
 dependencies = [
  "cfg-if",
  "hashbrown 0.14.2",
@@ -351,9 +357,9 @@ dependencies = [
 
 [[package]]
 name = "pyo3-build-config"
-version = "0.19.2"
+version = "0.20.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "076c73d0bc438f7a4ef6fdd0c3bb4732149136abd952b110ac93e4edb13a6ba5"
+checksum = "a96fe70b176a89cff78f2fa7b3c930081e163d5379b4dcdf993e3ae29ca662e5"
 dependencies = [
  "once_cell",
  "target-lexicon",
@@ -361,9 +367,9 @@ dependencies = [
 
 [[package]]
 name = "pyo3-ffi"
-version = "0.19.2"
+version = "0.20.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "e53cee42e77ebe256066ba8aa77eff722b3bb91f3419177cf4cd0f304d3284d9"
+checksum = "214929900fd25e6604661ed9cf349727c8920d47deff196c4e28165a6ef2a96b"
 dependencies = [
  "libc",
  "pyo3-build-config",
@@ -371,25 +377,26 @@ dependencies = [
 
 [[package]]
 name = "pyo3-macros"
-version = "0.19.2"
+version = "0.20.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "dfeb4c99597e136528c6dd7d5e3de5434d1ceaf487436a3f03b2d56b6fc9efd1"
+checksum = "dac53072f717aa1bfa4db832b39de8c875b7c7af4f4a6fe93cdbf9264cf8383b"
 dependencies = [
  "proc-macro2",
  "pyo3-macros-backend",
  "quote",
- "syn 1.0.109",
+ "syn",
 ]
 
 [[package]]
 name = "pyo3-macros-backend"
-version = "0.19.2"
+version = "0.20.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "947dc12175c254889edc0c02e399476c2f652b4b9ebd123aa655c224de259536"
+checksum = "7774b5a8282bd4f25f803b1f0d945120be959a36c72e08e7cd031c792fdfd424"
 dependencies = [
+ "heck",
  "proc-macro2",
  "quote",
- "syn 1.0.109",
+ "syn",
 ]
 
 [[package]]
@@ -561,17 +568,6 @@ version = "1.11.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "942b4a808e05215192e39f4ab80813e599068285906cc91aa64f923db842bd5a"
 
-[[package]]
-name = "syn"
-version = "1.0.109"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "72b64191b275b66ffe2469e8af2c1cfe3bafa67b529ead792a6d0160888b4237"
-dependencies = [
- "proc-macro2",
- "quote",
- "unicode-ident",
-]
-
 [[package]]
 name = "syn"
 version = "2.0.38"
@@ -597,9 +593,9 @@ checksum = "301abaae475aa91687eb82514b328ab47a211a533026cb25fc3e519b86adfc3c"
 
 [[package]]
 name = "unindent"
-version = "0.1.11"
+version = "0.2.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "e1766d682d402817b5ac4490b3c3002d91dfa0d22812f341609f97b08757359c"
+checksum = "c7de7d73e1754487cb58364ee906a499937a0dfabd86bcb980fa99ec8c8fa2ce"
 
 [[package]]
 name = "version_check"
@@ -687,5 +683,5 @@ checksum = "c258c1040279e4f88763a113de72ce32dde2d50e2a94573f15dd534cea36a16d"
 dependencies = [
  "proc-macro2",
  "quote",
- "syn 2.0.38",
+ "syn",
 ]
diff --git a/Cargo.toml b/Cargo.toml
index 19e1c48231f1..02e453ce587b 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -10,7 +10,7 @@ license = "Apache-2.0"
 [workspace.dependencies]
 # This doesn't set `extension-module` as a shared feature because we need to be able to disable it
 # during Rust-only testing (see # https://github.com/PyO3/pyo3/issues/340).
-pyo3 = { version = "0.19.2", features = ["abi3-py38"] }
+pyo3 = { version = "0.20.0", features = ["abi3-py38"] }
 
 [profile.release]
 lto = 'fat'
diff --git a/crates/accelerate/Cargo.toml b/crates/accelerate/Cargo.toml
index 7f21159eeae5..2a46bbe4d961 100644
--- a/crates/accelerate/Cargo.toml
+++ b/crates/accelerate/Cargo.toml
@@ -16,7 +16,7 @@ extension-module = ["pyo3/extension-module"]
 
 [dependencies]
 rayon = "1.8"
-numpy = "0.19.0"
+numpy = "0.20.0"
 rand = "0.8"
 rand_pcg = "0.3"
 rand_distr = "0.4.3"