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Panteleev and Kalachev: asymptotically good quantum LDPC codes

Lifted products over nonabelian groups yield quantum LDPC code families with positive constant rate and minimum distance linear in block length. A related construction also yields classical locally testable LDPC codes with constant rate, relative distance, query complexity and soundness.

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Lifted products over nonabelian groups yield quantum LDPC code families with positive constant rate and minimum distance linear in block length. A related construction also yields classical locally testable LDPC codes with constant rate, relative distance, query complexity and soundness.

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Scientific scope

Quantum local testability is not proved here: the constant-query testability theorem is classical. Linear-time adversarial quantum decoding is a conjecture in this version. Constants depend on the chosen rate and field; no geometrically two-dimensional implementation, practical threshold, or rate-independent distance constant is claimed.

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People and systems

Pavel Panteleev; Gleb Kalachev

Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.

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English catalogue narrative

Panteleev and Kalachev: asymptotically good quantum LDPC codes

Lifted products over nonabelian groups yield quantum LDPC code families with positive constant rate and minimum distance linear in block length. A related construction also yields classical locally testable LDPC codes with constant rate, relative distance, query complexity and soundness.

Scientific scope

Quantum local testability is not proved here: the constant-query testability theorem is classical. Linear-time adversarial quantum decoding is a conjecture in this version. Constants depend on the chosen rate and field; no geometrically two-dimensional implementation, practical threshold, or rate-independent distance constant is claimed.

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

Pavel Panteleev; Gleb Kalachev

Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.

Original sources