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X-WR-CALNAME;VALUE=TEXT:Seminar, Zhengwei Liu (Tsinghua University), Quantized Graphs and Quantum Error Correction
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UID:event_1481643_0
SUMMARY:Seminar, Zhengwei Liu (Tsinghua University), Quantized Graphs and Quantum Error Correction
DESCRIPTION:<p>	<drupal-media data-entity-type="media" data-entity-uuid="c06c8806-bd14-4ff6-a106-f38e6b408f82" alt="Zhengwei Liu" data-view-mode="hwp_small"></drupal-media></p><p>	<strong>Title:</strong> Quantized Graphs and Quantum Error Correction</p><p>	<strong>Abstract:</strong> Graph theory is important in information theory. We introduce a quantization process on graphs and apply the quantized graphs in quantum information. The quon language provides a mathematical theory to study such quantized graphs in a general framework. We give a new method to construct graphical quantum error correcting codes on quantized graphs and characterize all optimal ones. We establish a further connection to geometric group theory and construct quantum low-density parity-check stabilizer codes on the Cayley graphs of groups. Their logical qubits can be encoded by the ground states of newly constructed exactly solvable models with translation-invariant local Hamiltonians. Moreover, the Hamiltonian is gapped in the large limit when the underlying group is infinite.</p>
LOCATION:Jefferson 356
STATUS:CONFIRMED
DTSTART:20200204T203000Z
DTEND:20200204T203000Z
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