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Paper · 2603.15886 · 2026

PhasorFlow: A Python Library for Unit Circle Based Computing

Dibakar Sigdel, Namuna Panday

arXiv · PDF · Open in the Atlas

Code that ran

We lifted 6 functions out of this paper's own repositories and ran 5 of them in a sandbox. "Ran" means the function executed on a synthesized input and returned a value. It is not a reproduction of the paper's results.

RepositoryRoleRan
mindverse-computing/phasorflow canonical 5 of 6
FunctionStatusWhere it lives
encode_phase Ran mindverse-computing/phasorflow/engine/vectorized.py
code served (permissive licence) · get_code("59e654b1b833ba46")
mix_adjacent Ran mindverse-computing/phasorflow/engine/vectorized.py
code served (permissive licence) · get_code("981cbdad003f2d18")
multifreq_sequence_task Ran mindverse-computing/phasorflow/benchmarks/tasks.py
code served (permissive licence) · get_code("3612c600663cf1ac")
phase_parity_task Ran mindverse-computing/phasorflow/benchmarks/tasks.py
code served (permissive licence) · get_code("996390c409e111ec")
sum_cosine_task Ran mindverse-computing/phasorflow/benchmarks/tasks.py
code served (permissive licence) · get_code("11405d4b1d4b0e1b")
shift_all Not yet run mindverse-computing/phasorflow/engine/vectorized.py
code served (permissive licence) · get_code("80514a5db580b26b")

Repositories linked to this paper

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Abstract

We present PhasorFlow, an open-source Python library for computing on the S 1 unit circle. Inputs are encoded as complex phasors z = e iϕ on the N -torus (T N ); as computation proceeds through unitary wave-interference gates, global norm is preserved while components drift into C N , letting algorithms leverage continuous geometric gradients. PhasorFlow makes three contributions. First, we formalize the Phasor Circuit model (N threads, M gates) with a 22-gate library spanning standard-unitary, non-linear, neuromorphic, and encoding operations under full matrix-algebra simulation. Second, we introduce the Variational Phasor Circuit (VPC), a trainable phase-native classifier analogous to variational quantum circuits. Third, we introduce the Phasor Transformer block and Large Phasor Model (LPM), replacing QK T V attention with a parameter-free DFT token-mixing layer. We validate the framework on financial volatility detection, neuromorphic associative memory, neural binding, period finding, and algorithmic logic applications that are unique to the library. This positions unit-circle computing as a deterministic, lightweight paradigm on classical hardware. Available at https://github.com/mindverse-computing/phasorflow.

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