Pith. sign in

REVIEW 3 cited by

Geometrically Enhanced Topological Quantum Codes

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2505.10403 v2 pith:GTYP3A7B submitted 2025-05-15 quant-ph

David Aasen , Jeongwan Haah , Matthew B. Hastings , Zhenghan Wang This is my paper
classification quant-ph
keywords codescodemethodsquantumstatestoricdimensionsgeometric
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We consider geometric methods of ``rotating" the toric code in higher dimensions to reduce the qubit count. These geometric methods can be used to prepare higher dimensional toric code states using single shot techniques, and in turn these may be used to prepare entangled logical states such as Bell pairs or GHZ states. This bears some relation to measurement-based quantum computing in a twisted spacetime. We also propose a generalization to more general stabilizer codes, and we present computer analysis of optimal rotations in low dimensions. We present methods to do logical Clifford operations on these codes using crystalline symmetries and surgery, and we present a method for state injection at low noise into stabilizer quantum codes generalizing previous ideas for the two-dimensional toric code.

Discussion (0). Sign in to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quantum error correction with the toric code

    quant-ph 2026-06 unverdicted novelty 7.0 of 10

    Neutral atom platform achieves repeated toric code syndrome extraction with qubit reloading, preserving logical information over 90 cycles and showing distance-dependent logical error suppression.

  2. Parallel Logical Measurements via Quantum Code Surgery

    quant-ph 2025-03 unverdicted novelty 7.0 of 10

    A new code surgery protocol measures t logically disjoint Pauli products on any LDPC code using O(t ω (log t + log³ω)) ancillas in O(d) time while preserving LDPC property and fault distance.

  3. Floquet Abelian Multicycle Codes

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Floquet Abelian multicycle codes encode logical qubits in measurement-only schedules derived from higher-dimensional chain complexes, with compact examples at [[108,6,5]], [[144,6,8]], and [[324,6,10]].

Pith tools