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General SESource: theregister.comJune 24, 2026

Microsoft’s Topological Quantum Breakthrough Challenged Over Python Indexing and Filtering Errors

A peer-reviewed critique in Nature alleges that Microsoft's claimed topological quantum computing breakthrough is invalidated by fundamental software bugs and omitted data. The analysis identifies hardcoded filtering and incorrect array-reversal operations within Microsoft's Topological Gap Protocol codebase.

The Topological Gap Protocol Under Scrutiny

A peer-reviewed critique published in Nature has challenged Microsoft's claimed breakthroughs in topological quantum computing. Dr. Henry Legg, a lecturer at the University of St Andrews, argues that the software giant's assertion of having observed and controlled Majorana particles is built on flawed data processing. At the center of the dispute is Microsoft's Topological Gap Protocol (TGP), a software-driven method designed to detect the phase transitions necessary for Majorana-based quantum computation.

According to Legg's paper, "On the robustness of topological gap detection via transport," the TGP tune-up software contains critical coding errors that led to incorrect statements being presented to peer reviewers during the initial evaluation of Microsoft's 2025 Majorana chip announcement.

Hardcoded Filters and Array Indexing Errors

The technical critique highlights two distinct programming errors within the TGP Python codebase that processed the underlying transport data.

First, the plotting software utilized a hardcoded filter: `zbp_cluster_numbers=[1]`

This statement forced the system to plot only the single largest region matching the target criteria, concealing alternative regions from the resulting phase maps. Modifying the array to `zbp_cluster_numbers=[1,2]` reveals a second region. Because of this filter, Microsoft incorrectly asserted to peer reviewers that they had investigated the only region passing the protocol within the explored range.

Second, the codebase mishandled the physical bias voltages by performing an index-based array reversal: `x[::-1]`

The software reversed the Python array based entirely on its index position rather than its actual physical values. This operation antisymmetrized the bias voltage based on array index rather than physical value, distorting the transport spectra used to identify the topological gap.

Omitted Transport Data and Physical Disorder

Beyond the software bugs, Legg's critique points to the omission of raw transport data from the original 2025 publication. Transport data measures particle charge transitions to confirm the existence of a clean, controlled topological gap.

Legg argues that analyzing the omitted raw data reveals significant physical disorder within Microsoft's devices. This level of disorder is physically incompatible with the existence of a robust topological gap, suggesting that the structural prerequisites for Microsoft's quantum claims were not met. By focusing exclusively on processed results that aligned with their thesis, Microsoft's TGP obscured these negative indications.

Microsoft's Rebuttal and the Capacitance Argument

Microsoft has disputed Legg's findings, defending its roadmap and the validity of its physical models. Dr. Chetan Nayak, Technical Fellow and Corporate Vice President of Microsoft’s quantum hardware group, dismissed the software issues as an inconsequential, minor off-by-one-pixel bug in the TGP processing pipeline.

Microsoft's published rebuttal argues that Legg's critique relies on a selective examination of transport tune-up procedures and isolated correspondence phrases, rather than the core physical mechanisms of the experiment. The company asserts that Legg's paper fails to address their primary capacitance measurements or provide an alternative physical model capable of reproducing either the capacitance signal or the observed random telegraph signal (RTS) phenomenology.

Legg has countered this rebuttal, characterizing Microsoft's defense as circular reasoning. He argues that Microsoft is asserting that because they observed a specific capacitance measurement, the physical prerequisites for that measurement must have been met, ignoring the underlying transport data discrepancies.

Implications for Majorana 2

The software controversy extends to Microsoft's June 2026 announcement of Majorana 2, a next-generation topological quantum chip developed using agentic AI.

Legg states that the Majorana 2 preprint, which relies on a single device, does not provide evidence of a functioning qubit. The device lacks a reported X-measurement, which is a critical metric for demonstrating quantum state control. Furthermore, Microsoft's claim that Majorana 2 is 1,000 times more reliable refers strictly to the lifetime of a classical bit—specifically, state parity—rather than the preservation of a quantum superposition. Legg concludes that without verified X-measurements, the observed behavior of both iterations of the hardware is highly consistent with unmanaged disorder physics rather than controlled topological qubits.

Read the original article at theregister.com.