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quant-ph2026
Long-range nonstabilizerness of topologically encoded states from mutual information
David Aram Korbany, Tyler D. Ellison, David T. Stephen +1
We study long-range nonstabilizerness (LRN), namely the obstruction to remove nonstabilizerness with shallow-depth local quantum circuits. In one-dimensional settings, the mutual i…
quant-ph2025
Non-onsite symmetries and quantum teleportation in split-index matrix product states
David T. Stephen
We describe a class of spin chains with new physical and computational properties. On the physical side, the spin chains give examples of symmetry-protected topological phases that…
quant-ph2024
Quantum teleportation implies symmetry-protected topological order
Yifan Hong, David T. Stephen, Aaron J. Friedman
We constrain a broad class of teleportation protocols using insights from locality. In the "standard" teleportation protocols we consider, all outcome-dependent unitaries are Pauli…