11 papers
Towards Lattice Surgery Compilation for the Color Code Using Pipe Diagrams
Laura S. Herzog, Gilad Kishony, Robert Wille +1
Pipe diagrams have emerged as a powerful framework for flexible lattice surgery compilation and spacetime optimization for the surface code. In contrast, analogous compilation tech…
Low-cost quantum error mitigation via auxiliary qubit return validation
Gilad Kishony, Avi Elazari, Ron Cohen +1
We introduce a low-overhead technique for quantum error mitigation based on post-selection using auxiliary qubit measurements. The method exploits the structural property that, in…
Optimal Approximation of Single Qubit Rotations within a Quantum Circuit
Gilad Kishony, Avi Elazari, Ron Cohen +1
Fault-tolerant quantum computing typically requires the transpilation of arbitrary quantum circuits into a finite, universal gate set, such as Clifford+T. As a baseline, Diagonal a…
Color code off-the-hook: avoiding hook errors with a single auxiliary per plaquette
Gilad Kishony, Austin Fowler
Syndrome extraction in the planar color code is complicated by high weight stabilizers and hook errors that can reduce the circuit-level distance. With a single auxiliary qubit per…
Surface code off-the-hook: diagonal syndrome-extraction scheduling
Gilad Kishony, Austin Fowler
In the rotated surface code, hook errors (errors on auxiliary qubits midway through syndrome extraction that propagate to correlated two-qubit data errors) can reduce the circuit-l…
Increasing the distance of topological codes with time vortex defects
Gilad Kishony, Erez Berg
We propose modifying topological quantum error correcting codes by incorporating space-time defects, termed ``time vortices,'' to reduce the number of physical qubits required to a…