Electronic
Systems using electronic substrates
Systems using Electronic
Coherent Ising machine (OPO network)
Ising Hamiltonian ground state / combinatorial optimization (MAX-CUT, QUBO)
A network of degenerate optical parametric oscillator (DOPO) pulses circulating in a fiber ring cavity. Each pulse can oscillate in one of two phase states (0 or π), encoding a spin. Measurement-feedb...
Coupled oscillator network (Kuramoto / XY model)
MAX-CUT / graph partitioning (approximate)
A network of identical oscillators — pendula, LC circuits, or CMOS ring oscillators — coupled to their neighbours by springs or resistive links. The Kuramoto model describes how each oscillator's phas...
Gate-based quantum computer
unitary quantum computation / quantum algorithms (Shor factoring, Grover search, VQE)
A register of qubits — typically superconducting transmons cooled to ~10 mK — whose state is manipulated by sequences of microwave pulses implementing one- and two-qubit unitary gates. Any computation...
MEMS accelerometer
Newton's second law (a = F/m) — continuous analog acceleration measurement
A microfabricated proof mass (typically silicon, ~1 μg) suspended by folded-beam springs. Under acceleration, the mass displaces by x = ma/k (Hooke's law + Newton's second law in equilibrium). Displac...
Mechanical fire-control computer
ballistic trajectory / gun bearing and elevation (multivariate real-time ODE)
Electromechanical analog computers installed on WWII-era warships (e.g. the US Navy Mark 1) continuously computed the correct bearing and elevation for naval guns from up to 25 live inputs: target ran...
Memristive Hopfield network optimizer
optimization via chaotic annealing / transient dynamics
Memristive circuits implementing Hopfield network topology where the intrinsic nonlinearity of memristors creates transient chaotic annealing processes. The chaotic dynamics enable escape from local m...
Memristor crossbar
analog matrix-vector multiplication
Crossbar arrays of memristors (memory resistors) perform matrix-vector operations in analog. Voltages applied to rows, currents collected from columns. Resistance values encode matrix elements. Enable...
Neuromorphic chip (Intel Loihi / IBM TrueNorth)
spiking neural network computation
Silicon chips that mimic neural computation using spiking neurons and synaptic connections. Intel Loihi and IBM TrueNorth implement event-driven, asynchronous processing with on-chip learning capabili...
Op-amp analog computer
ODE integration via Kirchhoff's laws
Operational amplifiers configured as integrators, adders, and multipliers solve differential equations in real-time. Voltages represent variables, circuit topology encodes the equation structure. Clas...
Photonic integrated circuit (silicon photonics)
matrix-vector multiplication / unitary linear transforms (for neural network inference)
Arrays of Mach-Zehnder interferometers (MZIs) and microring resonators on a silicon chip implement programmable unitary matrices in the optical domain. Light encodes values as amplitude or phase; pass...
Quantum and quantum-inspired annealers
Ising model energy minimization / QUBO optimization
Quantum and quantum-inspired systems for solving combinatorial optimization problems through annealing processes. Includes true quantum annealers (D-Wave) using superconducting qubits and quantum-insp...
Quantum gate computer (superconducting qubits)
unitary transformations / quantum algorithms
Superconducting qubits manipulated by microwave pulses to perform unitary operations. Quantum gates like Hadamard, CNOT, and phase gates enable quantum algorithms such as Shor's factoring and Grover's...
Reservoir computer
temporal pattern recognition / dynamical system computation
Fixed nonlinear dynamical system (reservoir) coupled to a trained linear readout layer. Input drives the reservoir dynamics, output layer learns to extract desired computations. Echo state networks an...
Resistive sheet (Teledeltos) Laplace solver
solutions to Laplace's equation ∇²φ = 0 (electrostatics, heat, groundwater flow)
A sheet of Teledeltos — carbon-coated resistive paper with ~6 kΩ/square resistivity — conducts current that obeys the same Laplace equation as electrostatic potential, steady-state heat conduction, in...
Simulated annealing (thermal)
argmin of energy / cost landscape
A physical system coupled to a heat bath at slowly decreasing temperature explores its energy landscape. At high temperature it escapes local minima; as T→0 it settles into a global minimum — if cooli...
Thermodynamic computer
sampling from Boltzmann distributions
Uses thermal noise in analog circuits to sample from Boltzmann distributions. Thermal fluctuations provide natural randomness that follows statistical mechanics principles. The Normal Computing SDE (S...
Thermodynamic computer (Normal Computing SPU)
probabilistic sampling / linear algebra via thermal equilibration
Analog physics-based computers using thermodynamic principles for computation. Normal Computing's Stochastic Processing Unit (SPU) uses RLC circuits as unit cells with all-to-all coupling via switched...