Gauging the 1-form symmetry in the X-Cube construction produces a web of relations to SPT phases with subsystem and higher-form symmetries plus subsystem symmetry fractionalization in the 3+1D toric code.
Long-range quantum entanglement in noisy cluster states
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k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
Gauging the spacetime code produces a lattice gauge theory inheriting circuit fault tolerance, with applications to foliated MBQC, classical memory in mixed topological states, and learnable Pauli noise degrees of freedom.
citing papers explorer
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There and Back Again: A Gauging Nexus between Topological and Fracton Phases
Gauging the 1-form symmetry in the X-Cube construction produces a web of relations to SPT phases with subsystem and higher-form symmetries plus subsystem symmetry fractionalization in the 3+1D toric code.
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Fast mixing of all-to-all quantum systems at high temperatures
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
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Gauging the Spacetime Code
Gauging the spacetime code produces a lattice gauge theory inheriting circuit fault tolerance, with applications to foliated MBQC, classical memory in mixed topological states, and learnable Pauli noise degrees of freedom.