Hardware Platforms for Native Symplectic Computation Symplectic Computation Series -Building on Volumes I-III

Syed Muntasir Mamun

Published Jun 21, 2026• 0 citations

Abstract

This volume examines physical platforms capable of natively implementing the symplectic circuit model developed in Volumes II and III. We analyze four principal hardware families: (i) coupled nonlinear oscillators (mechanical, Josephson-junction, and LC circuits), (ii) optomechanical arrays, (iii) analog electronic networks employing gyrators and transformers, and (iv) cold-atom systems operated in the classical regime. For each platform we derive the effective symplectic Hamiltonian, identify the native nS gate operations realizable via control fields, and evaluate energy efficiency and noise resilience relative to superconducting or tio uta trapped-ion quantum hardware. Because the underlying state space remains 2n-dimensional (linear in the number of symbits), mp o cC these analog machines avoid the exponential overhead of quantum state preparation and coherence maintenance. We show thatplecti ym S for workloads such as classical Hamiltonian simulation, geometric optimization on symplectic manifolds, and Nhybrid | CC quantum-symplectic signal processing, analog symplectic platforms can offer superior energy per operation (potentially KS 10²–10⁴ lower than fault-tolerant quantum) and room-temperature operation with robustness to decoherence. Challenges of precision, scalability, and readout are quantified. Also available on Academia.edu: https://www.academia.edu/attachments/133167960/download_file?s=portfolio

DOI: 10.5281/zenodo.22995604

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