Continuous and M-ary Phase Logic in π-Layer Geometry Computing: A Cryogenic All-Dielectric Extension for High-Density Reversible Computation Article Swipe
Rezapour, Majid
,
Rezapour, Ramin
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.5281/zenodo.17795375
YOU?
·
· 2025
· Open Access
·
· 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.
Related Topics
Concepts
Computation
Computer science
Photonics
Logic gate
Quantization (signal processing)
Limit (mathematics)
Electronic engineering
Reversible computing
Bridging (networking)
Phase (matter)
Topology (electrical circuits)
Interferometry
Physics
Quantum computer
Neuromorphic engineering
Extension (predicate logic)
AND gate
Schematic
Domain (mathematical analysis)
Digital electronics
Optical computing
Truth table
Adder
Continuous phase modulation
Digital control
Handshake
Dissipation
Actuator
Metadata
- Type
- other
- Language
- en
- Landing Page
- https://doi.org/10.5281/zenodo.17795375
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7108356341
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W7108356341Canonical identifier for this work in OpenAlex
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https://doi.org/10.5281/zenodo.17795375Digital Object Identifier
- Title
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Continuous and M-ary Phase Logic in π-Layer Geometry Computing: A Cryogenic All-Dielectric Extension for High-Density Reversible ComputationWork title
- Type
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otherOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-12-02Full publication date if available
- Authors
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Rezapour, Majid, Rezapour, RaminList of authors in order
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https://doi.org/10.5281/zenodo.17795375Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://doi.org/10.5281/zenodo.17795375Direct OA link when available
- Concepts
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Computation, Computer science, Photonics, Logic gate, Quantization (signal processing), Limit (mathematics), Electronic engineering, Reversible computing, Bridging (networking), Phase (matter), Topology (electrical circuits), Interferometry, Physics, Quantum computer, Neuromorphic engineering, Extension (predicate logic), AND gate, Schematic, Domain (mathematical analysis), Digital electronics, Optical computing, Truth table, Adder, Continuous phase modulation, Digital control, Handshake, Dissipation, ActuatorTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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| abstract_inverted_index.proposed | 148 |
| abstract_inverted_index.provides | 120 |
| abstract_inverted_index.readout, | 123 |
| abstract_inverted_index.systems. | 177 |
| abstract_inverted_index.π-Layer | 8 |
| abstract_inverted_index.Computing | 10 |
| abstract_inverted_index.actuators | 92 |
| abstract_inverted_index.classical | 156 |
| abstract_inverted_index.cryogenic | 77 |
| abstract_inverted_index.extension | 5 |
| abstract_inverted_index.geometric | 28 |
| abstract_inverted_index.landscape | 86 |
| abstract_inverted_index.low-noise | 76 |
| abstract_inverted_index.operation | 78 |
| abstract_inverted_index.potential | 85 |
| abstract_inverted_index.represent | 68 |
| abstract_inverted_index.scalable, | 182 |
| abstract_inverted_index.segmented | 89 |
| abstract_inverted_index.compensate | 129 |
| abstract_inverted_index.computing. | 162 |
| abstract_inverted_index.continuous | 58, 175 |
| abstract_inverted_index.cryogenic, | 17 |
| abstract_inverted_index.efficiency | 108 |
| abstract_inverted_index.electronic | 36 |
| abstract_inverted_index.integrated | 116 |
| abstract_inverted_index.introduces | 40 |
| abstract_inverted_index.precision, | 95 |
| abstract_inverted_index.processes, | 193 |
| abstract_inverted_index.quaternary | 45 |
| abstract_inverted_index.reversible | 19, 157 |
| abstract_inverted_index.transition | 42 |
| abstract_inverted_index.(~10⁻²¹ | 113 |
| abstract_inverted_index.computation | 185, 195 |
| abstract_inverted_index.dielectric, | 16 |
| abstract_inverted_index.information | 23, 74 |
| abstract_inverted_index.low-energy, | 183 |
| abstract_inverted_index.maintaining | 133 |
| abstract_inverted_index.multi-level | 122 |
| abstract_inverted_index.unambiguous | 121 |
| abstract_inverted_index.Applications | 163 |
| abstract_inverted_index.bio-inspired | 174 |
| abstract_inverted_index.computation, | 154 |
| abstract_inverted_index.controllable | 99 |
| abstract_inverted_index.demonstrates | 180 |
| abstract_inverted_index.implementing | 88 |
| abstract_inverted_index.neuromorphic | 165 |
| abstract_inverted_index.phase-locked | 125 |
| abstract_inverted_index.quantization | 101 |
| abstract_inverted_index.Si₃N₄/AlN | 190 |
| abstract_inverted_index.accelerators, | 170 |
| abstract_inverted_index.comprehensive | 4 |
| abstract_inverted_index.informational | 200 |
| abstract_inverted_index.phase-encoded | 171 |
| abstract_inverted_index.piezoelectric | 91 |
| abstract_inverted_index.thermodynamic | 198 |
| abstract_inverted_index.geometry-phase | 184 |
| abstract_inverted_index.interferometer | 118 |
| abstract_inverted_index.communications, | 172 |
| abstract_inverted_index.sub-milliradian | 94 |
| abstract_inverted_index.quantum-inspired | 160 |
| abstract_inverted_index.IQ-Mach–Zehnder | 117 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile |