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Topological quantum order remains stable under sufficiently weak local perturbations

Bravyi, Hastings and Michalakis established a conditional stability result for certain topologically ordered quantum spin systems under sufficiently weak local perturbations. For their class of commuting-projector Hamiltonians, the low-energy spectral band remains separated from higher excitations under the stated conditions.

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What is recorded here?

Bravyi, Hastings and Michalakis established a conditional stability result for certain topologically ordered quantum spin systems under sufficiently weak local perturbations. For their class of commuting-projector Hamiltonians, the low-energy spectral band remains separated from higher excitations under the stated conditions.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The result assumes the paper’s topological-order conditions, local interactions and a sufficiently small perturbation. It is a zero-temperature mathematical statement; it does not itself establish an experimental quantum memory or a finite-temperature error-correction lifetime. Scientific correctness has not been independently certified here.

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People and systems

Sergey Bravyi; Matthew Hastings; Spyridon Michalakis

These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.

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Documented countries / regions: United States

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English catalogue narrative

Topological quantum order remains stable under sufficiently weak local perturbations

Bravyi, Hastings and Michalakis established a conditional stability result for certain topologically ordered quantum spin systems under sufficiently weak local perturbations. For their class of commuting-projector Hamiltonians, the low-energy spectral band remains separated from higher excitations under the stated conditions.

Scientific scope

The result assumes the paper’s topological-order conditions, local interactions and a sufficiently small perturbation. It is a zero-temperature mathematical statement; it does not itself establish an experimental quantum memory or a finite-temperature error-correction lifetime. Scientific correctness has not been independently certified here.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Sergey Bravyi; Matthew Hastings; Spyridon Michalakis

These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.

Original sources