From d2a5933e4d7bc84aab9c6afd2769cc9cae16bf1f Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Mon, 1 Jul 2024 20:48:55 -0400 Subject: [PATCH] holographic_hyperinvariant --- .../qubits/stabilizer/holographic/happy.yml | 3 ++ .../holographic_hyperinvariant.yml | 35 +++++++++++++++++++ 2 files changed, 38 insertions(+) create mode 100644 codes/quantum/qubits/stabilizer/holographic/holographic_hyperinvariant.yml diff --git a/codes/quantum/qubits/stabilizer/holographic/happy.yml b/codes/quantum/qubits/stabilizer/holographic/happy.yml index 60898f683..0201e694a 100644 --- a/codes/quantum/qubits/stabilizer/holographic/happy.yml +++ b/codes/quantum/qubits/stabilizer/holographic/happy.yml @@ -11,6 +11,9 @@ name: 'Pastawski-Yoshida-Harlow-Preskill (HaPPY) code' short_name: 'HaPPY' introduced: '\cite{arxiv:1503.06237}' +alternative_names: + - 'Perfect holographic code' + description: | Holographic code constructed out of a network of hexagonal \hyperref[topic:ame]{perfect tensors} that tesselates hyperbolic space. The code serves as a minimal model for several aspects of the AdS/CFT holographic duality \cite{arxiv:1706.08823} and potentially a dF/CFT duality \cite{arxiv:2201.11658}. diff --git a/codes/quantum/qubits/stabilizer/holographic/holographic_hyperinvariant.yml b/codes/quantum/qubits/stabilizer/holographic/holographic_hyperinvariant.yml new file mode 100644 index 000000000..c5d77c477 --- /dev/null +++ b/codes/quantum/qubits/stabilizer/holographic/holographic_hyperinvariant.yml @@ -0,0 +1,35 @@ +####################################################### +## This is a code entry in the error correction zoo. ## +## https://github.com/errorcorrectionzoo ## +####################################################### + +code_id: holographic_hyperinvariant +physical: qubits +logical: qubits + +name: 'Hyperinvariant tensor-network (HTN) code' +short_name: 'HTN' +introduced: '\cite{arxiv:2304.02732}' + +description: | + Holographic tensor-network error-detecting code constructed out of a hyperinvariant tensor network \cite{arxiv:1704.04229}, a MERA-like network admitting a hyperbolic geometry. + The network is defined using two layers A and B, with constituent tensors satisfying isometry conditions (a.k.a. multitensor constraints). + + This code produces boundary correlation functions that align with those expected from conformal field theory (CFT) boundary states. + HTN codes exhibit state-dependent breakdown of complementary recovery, consistent with quantum gravity corrections in AdS/CFT. + +protection: 'Certain HTN codes protect against single-site errors.' + +relations: + parents: + - code_id: qubit_stabilizer + - code_id: holographic_tensor + detail: 'The encoding of an HTN code is a hyperinvariant tensor network.' + + +# Begin Entry Meta Information +_meta: + # Change log - most recent first + changelog: + - user_id: VictorVAlbert + date: '2024-07-01'