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This repository contains modules and codes that are developed based on MQITE algorithm introduced in https://arxiv.org/abs/2208.10535v1

The program has the following main packages:

• Amplitude: contains the class Amplitude that runs a circuit U^+QU|0> on a quasm simulator, and computes the amplitudes {|c_j|}.

• Phase: contains the class Phase which uses and Amplitude object to construct additional circuit (Appendix B) and computes the real and imaginary parts of every observed c_j from Amplitude. It also translates c_j into parameter (y_j).

• UpdateCircuit: uses the computed c_j (real, imaginary) to update circuit. This is done by creating a layer of gates and adding them to the start of the current circuit instruction.

• BasicFunctions: contains some trivial and toolkit functions that are used in the body of other main classes

• MultiQubitGate: is the core class/functions that translate e^{\sum_j y_j P_j} into one- and two-qubit gates. See Appendix A for detail.

• Benchmarks: contains classes that use the amplitude and phase instances to test and measure certain metrics, or benchmark against state vector.

• Problems: example problems that can be used to test the algorithm.

• Observables: A class that uses the current state of the circuit to calculate the expectaion of an observable. Current implementation uses state vector.

The main entry is SimulateMQITE. This folder contains one possible implementation of MQITE Algorithm (fig.1 in https://arxiv.org/abs/2208.10535v1) For start, you may want to run the SimulateMQITE/Tests/ising_model.py which is a test application.