Posts by Konrad Deka

1. Simultaneously optimizing symmetry shifts and tensor factorizations for cost-efficient Fault-Tolerant Quantum Simulations of electronic Hamiltonians

   We combine the double tensor-factorization of Burg et al. with the symmetry shift method of Loaiza and Izmaylov to reduce the scaling constant in the block-encoding of electronic Hamiltonians which results in lower T-gate costs of QPE for Hamiltonian simulation.

2. Diagonal operator decomposition on restricted topologies via enumeration of quantum state subsets

   We analyse the CX implementation cost of generic diagonal operators, based on the target device topology.

3. Clifford circuits over non-cyclic abelian groups

   We present a generalized approach to Clifford group construction for any abelian group.

4. Anyons in a highly-entangled toric xy model

   We show that in some sense the only obstruction for a toric xy model to have a topological order is a \(U(1)\) gauge action.