diff --git a/codes/quantum/oscillators/stabilizer/lattice/multimodegkp.yml b/codes/quantum/oscillators/stabilizer/lattice/multimodegkp.yml index b74c6a50a..a561b7b4d 100644 --- a/codes/quantum/oscillators/stabilizer/lattice/multimodegkp.yml +++ b/codes/quantum/oscillators/stabilizer/lattice/multimodegkp.yml @@ -33,6 +33,7 @@ features: - 'Gaussian operations and homodyne measurements on GKP states are classically simulable, and there is a sufficient condition for an additional element to achieve universal quantum computation \cite{arxiv:2309.07820}.' - 'There is a relation between magic (i.e., how far away a state is from being a stabilizer state) and non-Gaussianity for GKP codewords \cite{arxiv:2109.13018,arxiv:2406.06418}. In particular, implementing a non-Clifford logical gate requires a higher degree of non-Gaussianity than that expressed by ideal non-normalizable GKP states \cite{arxiv:2406.06418}.' - 'By applying GKP error correction to Gaussian input states, computational universality can be achieved without additional non-Gaussian elements \cite{arxiv:1903.00012}. This procedure can be alternatively desscribed as performing heterodyne detection on one half of a GKP encoded Bell pair.' + - 'Logical shadow tomography protocol \cite{arxiv:2411.00235}.' fault_tolerance: - 'Logical Clifford operations are given by Gaussian unitaries, which map bounded-size errors to bounded-size errors \cite{arxiv:quant-ph/0008040}. diff --git a/codes/quantum/qubits/holographic/syk.yml b/codes/quantum/qubits/holographic/syk.yml index 411d49a95..fe57e08ae 100644 --- a/codes/quantum/qubits/holographic/syk.yml +++ b/codes/quantum/qubits/holographic/syk.yml @@ -16,6 +16,9 @@ description: | features: rate: 'SYK codes can have a constant rate and distance scaling as \(n^c\) for some power \(c\) \cite{arxiv:2310.07770}.' + threshold: + - 'The coherent information of noise channels that either break or conserve fermion parity has been calculated for the SYK thermofield double state \cite{arxiv:2410.24225}.' + relations: parents: - code_id: fermions