Certifying fermionic Gaussian states (and a little more) with optimal precision dependence
quant-ph, cond-mat.stat-mech
Submitted: 2026-09-23
Updated: 2026-09-23
Terminology
Sources
- Robust quantum state certification and uncertainty principles for total influence
- Fermionic Linear Optics and Matchgates
- Observation of separated dynamics of charge and spin in the Fermi-Hubbard model
- Fermionic Gaussian Testing and Non-Gaussian Measures via Convolution
- Measuring Non-Gaussian Magic in Fermions: Convolution, Entropy, and the Violation of Wick's Theorem and the Matchgate Identity
- Practical Tests and Witnesses of Fermionic non-Gaussianity
- Fermionic entropy: an efficiently measurable strong monotone for non-Gaussianity
- Verifcation of general multi-qudit pure states
- Classical capacity of fermionic product channels
- Learning fermionic linear optics with Heisenberg scaling and physical operations
- Entropic Independence I: Modified Log-Sobolev Inequalities for Fractionally Log-Concave Distributions and High-Temperature Ising Models
- Fractionally Log-Concave and Sector-Stable Polynomials: Counting Planar Matchings and More
- Optimal and improved gate decompositions for accelerated classical simulation of near-Gaussian fermionic circuits
- Provably Efficient Learning of Fermionic Correlations under Particle-Number Symmetry
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