4 papers
No-Go Theorem on Fault Tolerant Gadgets for Multiple Logical Qubits
Aranya Chakraborty, Daniel Gottesman
Identifying stabilizer codes that admit fault-tolerant implementations of the full logical Clifford group would significantly advance fault-tolerant quantum computation. Motivated…
Error Correction in Dynamical Codes
Esther Xiaozhen Fu, Daniel Gottesman
We ask what is the general framework for a quantum error correcting code that is defined by a sequence of measurements. Recently, there has been much interest in Floquet codes and…
Bounds on Eventually Universal Quantum Gate Sets
Chaitanya Karamchedu, Matthew Fox, Daniel Gottesman
Say a collection of -quit gates is eventually universal if and only if there exists such that for all , one can approximate any -quit unit…
The rotation-invariant Hamiltonian problem is QMA-complete
Jon Nelson, Daniel Gottesman
In this work, we study a variant of the local Hamiltonian problem where we restrict to Hamiltonians that live on a lattice and are invariant under translations and rotations of the…