Quantum Computing Papers
Research on photonic qubits, quantum error correction, spectral approaches to quantum mechanics, and cryogenics-free quantum information processing by Kerym Makraini.
AGE Quantum Gates Engine S.L., Melilla, Spain
Featured Paper
Photonic Twistorial Qubits at Ambient Temperature: Quantum Error Correction via Noncommutative Twistorial Structures and A Spectral Formulation for Cryogenics-Free Photonic Qubits
By Kerym Makraini
We present a logical photonic qubit architecture based on a Noncommutative Twistorial Quadruple (CTNC). The twistorial state space is modelled as holomorphic data over CP³ endowed with an internal noncommutativity encoded by a skew tensor Θ. We propose a spectral dynamics for the qubit and implement noncommutativity physically through ordered sequences of non-commuting optical transformations resolved interferometrically. The scheme functions as a cryogenics-free building block for robust photonic quantum information processing.
Related Papers (4)
Complete Derivation of Standard Model Parameters from TSQVT Spectral Data: Quantitative Predictions and Experimental Protocols
We present a systematic, first-principles derivation of Standard Model coupling constants and fermion masses from the spectral geometry of TSQVT. Calculated coupling constants agree with experiment within 0.2%: α⁻¹(low energy) = 136.84±0.52 (exp. 137.036), sin²θ_W = 0.2315±0.0008 (exp. 0.23122). The number of generations n_gen = 3 emerges from topological constraints. Fermion masses are obtained within 5%. All outputs are determined by four geometric parameters of the spectral manifold Σ_spec.
A Rigorous Framework for Quantum Mechanics with Position-Dependent Mass: Hermiticity, Perturbative Analysis, and Experimental Constraints
We present a rigorous framework for quantum mechanics with position-dependent effective mass (PDM). The formulation derives from first principles a manifestly self-adjoint Hamiltonian, identifying an emergent geometric potential necessary for consistency. We apply this Hamiltonian to key quantum systems—the harmonic oscillator and the hydrogen atom—via perturbative methods, yielding analytic expressions for energy shifts.
Spectral Geometry of Quantum Tunneling: Rigorous Analysis via Pseudodifferential and Zeta Methods
This article develops a rigorous mathematical framework for analyzing tunneling effects using spectral geometry, pseudodifferential operator theory, and noncommutative analysis. We investigate the role of Agmon metrics in controlling exponential decay, explore the formation of shape resonances via complex scaling, and examine the influence of magnetic fields through the Dirac formalism.
Macroscopic Tunnelling and Resonances in Spectral Geometry: Agmon–Weitzenböck Bounds and the ρ-Intensity Unification
We develop a physics-first account of macroscopic quantum tunnelling through the lens of spectral geometry. Our framework treats tunnelling exponents, resonance localization, and stability of scalar excitations within a single, density-weighted spectral setting. We prove sharp exponential bounds for transmission and establish resonance poles through complex scaling with controlled widths. Context: The 2025 Nobel Prize in Physics recognized macroscopic quantum mechanical tunnelling.
Key Applications
Cryogenics-Free Photonic Qubits
Room-temperature quantum information processing using noncommutative twistorial structures
Quantum Error Correction
Novel correction protocols derived from operator algebraic methods
Standard Model Derivation
First-principles calculation of coupling constants and particle masses