Meromorphic Quantum Computing

• URL: http://arxiv.org/abs/2605.06251v1
• Date: Thu, 07 May 2026 13:28:57 GMT
• Title: Meromorphic Quantum Computing
• Abstract summary: We consider the kinematics of quantum mechanics projectively.<n>Instead of normalized (pure) states up to global phase, states become one-dimensional subspaces of vector spaces.
• Score: 2.214014205001878
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider the kinematic axioms of quantum mechanics projectively. Instead of normalized (pure) states up to global phase, states become one-dimensional subspaces of vector spaces. This process of projectivization is functorial and lax monoidal. For qubits it identifies the Bloch sphere with the Riemann sphere. We interpret a fragment of the ZXW-calculus projectively and thereby provide an alternate derivation of the arithmetic GHZ/W-calculus of Coecke et al. We find meromorphic functions that characterize the coherent behaviour of circuits for logical state preparation of quantum codes and magic state distillation.

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