A theorist working on the limits of computation and practical quantum algorithms, combining research on undecidability with the development of software for scientific applications.
University College LondonarXiv / Forum of Mathematics, PiUniversity College LondonCubitt’s work asks both what computation cannot settle and how emerging quantum hardware can be made useful. His spectral-gap research established an undecidability result for a carefully defined class of many-body models. Through Phasecraft, which he cofounded, he also develops quantum algorithms intended for scientific problems on constrained hardware. This combination makes him relevant to readers interested in the gap between mathematical possibility, physical simulation and a usable computing product.
University College LondonarXiv / Forum of Mathematics, PiUniversity College LondonThe work behind the recognition
Work, in context- 2015
The spectral-gap undecidability result
Cubitt, David Pérez-García and Michael M. Wolf showed that deciding whether certain two-dimensional quantum lattice models are gapped or gapless is undecidable. The result concerns a rigorously constructed family of models; it does not make every material’s properties unknowable.
Coauthor of the undecidability proof with David Pérez-García and Michael M. Wolf.
Source-supported recordarXiv / Forum of Mathematics, Pi - 2018
Cofounding Phasecraft
Cubitt cofounded Phasecraft with Ashley Montanaro and John Morton. UCL identifies his role as chief technology officer, connecting his quantum-information research with a company developing algorithms for scientific and industrial uses of quantum computers.
Phasecraft cofounder with Ashley Montanaro and John Morton; CTO role documented by UCL.
Source-supported recordUniversity College LondonUniversity College London
The evidence map
Both views link each contribution to its sources. Choose a contribution on the map or read them all in the list.
The spectral-gap undecidability result
Undecidability of the Spectral Gap (full version)
Supports: Authorship and the precisely scoped undecidability result.
Published 16 Feb 2015 · Checked 19 Sept 2026Credit & limits: Coauthor of the undecidability proof with David Pérez-García and Michael M. Wolf.
Read the full contribution| Contribution | Evidence & what it supports | Credit & limits |
|---|---|---|
| The spectral-gap undecidability result2015 | Primary paperUndecidability of the Spectral Gap (full version) Authorship and the precisely scoped undecidability result. Published 16 Feb 2015 · Checked 19 Sept 2026 | Coauthor of the undecidability proof with David Pérez-García and Michael M. Wolf. |
| Cofounding Phasecraft2018 | Institutional recordUCL spinout developing quantum algorithms raises £13 million Phasecraft founding, founders and quantum-algorithm remit. Published 16 Aug 2023 · Checked 19 Sept 2026Institutional recordUCL spin-out Phasecraft secures $34m Series B to advance quantum computing Current UCL professor and Phasecraft CTO identification; company focus. Published 2025-09 · Checked 19 Sept 2026 | Phasecraft cofounder with Ashley Montanaro and John Morton; CTO role documented by UCL. |
Follow the evidence
3 sourcesPrimary papers, institutional records and attributed announcements. Each source supports the claims linked above.
- University College LondonInstitutional record
UCL spin-out Phasecraft secures $34m Series B to advance quantum computing
Current UCL professor and Phasecraft CTO identification; company focus.
Published 2025-09 · Checked 19 Sept 2026 - arXiv / Forum of Mathematics, PiPrimary paper
Undecidability of the Spectral Gap (full version)
Authorship and the precisely scoped undecidability result.
Published 16 Feb 2015 · Checked 19 Sept 2026 - University College LondonInstitutional record
UCL spinout developing quantum algorithms raises £13 million
Phasecraft founding, founders and quantum-algorithm remit.
Published 16 Aug 2023 · Checked 19 Sept 2026