What question did this study set out to answer?

The goal is to implement and validate six Klein bottle stabilizer codes to create 12 logical qubits using a superconducting processor.

April 1, 2026Open Access

Twelve Logical Qubits via Six Simultaneous Non-Orientable Stabilizer Codes on a 156-Qubit Superconducting Processor

Key Points

The goal is to implement and validate six Klein bottle stabilizer codes to create 12 logical qubits using a superconducting processor.
Utilized six Klein bottle stabilizer codes
Implemented on the IBM Fez superconducting processor
Conducted independent calibration sessions across three processors (Fez, Marrakesh, Kingston)
Maintained a consistent calibration variance (CV) of 0.01 across sessions
Successfully created 12 logical qubits from 144 physical qubits
Consistently reproduced calibration variance of 0.01 in all sessions
Demonstrated reproducibility across multiple independent runs on different processors

Abstract

Six simultaneous Klein bottle stabilizer codes on IBM Fez (Heron r2, 156 qubits). 12 logical qubits. 144 physical qubits. CV=0.01. Reproduced across 4 independent calibration sessions on 3 IBM Heron r2 processors (IBM Fez, IBM Marrakesh, IBM Kingston) on 2026-03-29 and 2026-03-30. CV=0.01 in all sessions. Jobs ID: d741hmp8qmgc73flhrtg, d7552n5bjrds73ebv320, d755bc7i6gpc73etvf7g, d755csvi6gpc73etvh60. Author: Leonardo Roma, Independent Researcher, Ceccano, ItalyEmail: leonardo.roma@protonmail.comDate: March 2026Live demo: https://kleincode.pythonanywhere.comGitHub: https://github.com/theoricline/klein-bottle-qec Companion papers:Paper 1: Code existence, GSD=4, kill test Z=691σ https://doi.org/10.5281/zenodo.19284050Paper 2: δ-family, topological parameter encoding https://doi.org/10.5281/zenodo.19286677Paper 3: Non-orientable logical algebra, holonomy https://doi.org/10.5281/zenodo.19287977

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Leonardo Roma (Mon,) studied this question.

synapsesocial.com/papers/69ccb7c216edfba7beb89d91 https://doi.org/https://doi.org/10.5281/zenodo.19333513

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