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NLTS Hamiltonians from Quantum Codes by Sijo George is a document available to read on EtoBox.

The document discusses NLTS (No Low-Energy Trivial State) Hamiltonians that can be constructed from good quantum error-correcting codes. It proves that families of constant-rate and linear-distance quantum LDPC codes correspond to NLTS local Hamiltonians by showing that they satisfy a "clustering of approximate codewords" property. This property ensures that low-energy states of the associated Hamiltonians cannot be generated by shallow quantum circuits. It leaves open questions around whether the clust

Author

Sijo George

Language

EN