231 citations · 1.2k across the 34 of their papers we have counts for
4 papers · 1 filter
Stabilizer operators and Barnes-Wall lattices
Vadym Kliuchnikov, Sebastian Schönnenbeck
We give a simple description of rectangular matrices that can be implemented by a post-selected stabilizer circuit. Given a matrix with entries in dyadic cyclotomic number fields $…
Multi-qubit circuit synthesis and Hermitian lattices
Vadym Kliuchnikov, Sebastian Schönnenbeck
We present new optimal and heuristic algorithms for exact synthesis of multi-qubit unitaries and isometries. For example, our algorithms find Clifford and T circuits for unitaries…
Minimal entanglement for injecting diagonal gates
Vadym Kliuchnikov, Eddie Schoute
Non-Clifford gates are frequently exclusively implemented on fault-tolerant architectures by first distilling magic states in specialised magic-state factories. In the rest of the…
Fault tolerance of stabilizer channels
Michael E. Beverland, Shilin Huang, Vadym Kliuchnikov
Stabilizer channels are stabilizer circuits that implement logical operations while mapping from an input stabilizer code to an output stabilizer code. They are widely used to impl…