4 papers · 1 filter
Rare Events and Griffiths Phases in Topological Quantum Error Correction
Adithya Sriram, Nicholas O'Dea, Yaodong Li +2
The performance of quantum error correcting (QEC) codes are often studied under the assumption of spatio-temporally uniform error rates. On the other hand, experimental implementat…
LDPC stabilizer codes as gapped quantum phases: stability under graph-local perturbations
Wojciech De Roeck, Vedika Khemani, Yaodong Li +2
We generalize the proof of stability of topological order, due to Bravyi, Hastings and Michalakis, to stabilizer Hamiltonians corresponding to low-density parity check (LDPC) codes…
Locality forces equal energy spacing of quantum many-body scar towers
Nicholas O'Dea, Lei Gioia, Sanjay Moudgalya +1
Quantum many-body scars are non-thermal eigenstates embedded in the spectra of otherwise non-integrable Hamiltonians. Paradigmatic examples often appear as quasiparticle towers of…
Perturbative stability and error correction thresholds of quantum codes
Yaodong Li, Nicholas O'Dea, Vedika Khemani
Topologically-ordered phases are stable to local perturbations, and topological quantum error-correcting codes enjoy thresholds to local errors. We connect the two notions of stabi…