

# Analog Hamiltonian Simulation
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[Analog Hamiltonian Simulation](https://en.wikipedia.org/wiki/Hamiltonian_simulation) (AHS) is an emerging paradigm in quantum computing that differs significantly from the traditional quantum circuit model. Instead of a sequence of gates, where each circuit acts only on a couple of qubits at a time. An AHS program is defined by the time-dependent and space-dependent parameters of the Hamiltonian in question. The [Hamiltonian of a system](https://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)) encodes its energy levels and the effects of external forces, which together govern the time evolution of its states. For an N-qubit systems, the Hamiltonian can be represented by a 2NX2N square matrix of complex numbers.

Quantum devices capable of performing AHS are designed to closely approximate the time evolution of a quantum system under a custom Hamiltonian by carefully tuning their internal control parameters. Such as, adjusting the amplitude and detuning parameters of a coherent driving field. The AHS paradigm is well-suited for simulating the static and dynamic properties of quantum systems with many interacting particles, such as in condensed matter physics or quantum chemistry. Purpose-built quantum processing units (QPUs), like the [Aquila device](https://aws.amazon.com/braket/quantum-computers/quera/) from QuEra, have been developed to use the power of AHS and tackle problems beyond the reach of conventional digital quantum computing approaches in innovative ways.

**Topics**
+ [Hello AHS: Run your first Analog Hamiltonian Simulation](braket-get-started-hello-ahs.md)
+ [Submit an analog program using QuEra Aquila](braket-quera-submitting-analog-program-aquila.md)