Continuous and M-ary Phase Logic in π-Layer Geometry Computing: A Cryogenic All-Dielectric Extension for High-Density Reversible Computation Article Swipe
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· 2025
· Open Access
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· DOI: https://doi.org/10.5281/zenodo.17795375
This paper presents a comprehensive extension of the π-Layer Geometry Computing (π-GC) paradigm — a fully dielectric, cryogenic, and reversible logic platform where information is encoded in the geometric phase (Φ) of confined photons rather than electronic charge. The work introduces a transition from discrete quaternary phase logic ({A, C, G, T} ↔ {0, π/2, π, 3π/2}) to continuous and M-ary phase logic, enabling each optical domain to represent up to 10 bits of information under low-noise cryogenic operation (77 K). By defining a tunable potential landscape and implementing segmented AlN piezoelectric actuators with sub-milliradian precision, the system achieves controllable phase quantization (ΔΦ ≈ 10⁻³ rad) and energy efficiency near the Landauer limit (~10⁻²¹ J). An integrated IQ-Mach–Zehnder interferometer (IQ-MZI) provides unambiguous multi-level readout, while phase-locked loops (PLLs) actively compensate drift and creep, maintaining BER < 10⁻⁹ and SNR > 50 dB for M = 16–256 levels. The proposed platform merges analog and digital computation, bridging classical reversible logic and quantum-inspired photonic computing. Applications include neuromorphic photonic arrays, analog AI accelerators, phase-encoded communications, and bio-inspired continuous logic systems. This study demonstrates that scalable, low-energy, geometry-phase computation is feasible within current Si₃N₄/AlN photonic foundry processes, pushing computation toward its thermodynamic and informational limits.
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- https://doi.org/10.5281/zenodo.17795375
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- https://openalex.org/W7108356341