Kirkwood-Dirac Nonpositivity is a Necessary Resource for Quantum Computing
quant-ph
Submitted: 2025-06-09
Updated: 2026-09-19
Comments: 18 pages, 1 figure
Code: https://github.com/cddlib/cddlib
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
Sources
- Simulation of quantum computation with magic states via Jordan-Wigner transformations
- Efficient classical simulation of quantum computation beyond Wigner positivity
- A 2 rebit gate universal for quantum computing
- The Kirkwood-Dirac representation associated to the Fourier transform for finite abelian groups: positivity
- Stabilizer Codes and Quantum Error Correction
- Contextuality Can be Verified with Noncontextual Experiments
- Almost no experiments have classical Kirkwood-Dirac representations
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