How to build a quantum circuit representing the Ising Model?

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Can someone explain to me how to build a quantum circuit representing the Ising Model? I just want to understand how to represent the Ising Model for the purposes of quantum state label classification.

Enrique Segura

Posted 2019-04-19T18:55:50.223

Reputation: 883

Does this: https://arxiv.org/abs/1807.07112 help?

– Victory Omole – 2019-04-21T15:38:19.553

A bit, but still in the dark. – Enrique Segura – 2019-04-21T20:42:32.297

What don't you understand about the paper I linked? – Victory Omole – 2019-04-22T04:08:49.640

For example, if I have a U(\theta), where U is a resulting unitary matrix of a series of unitaries with distinct theta parameters, I want to understand what is the difference between measuring at every wire in the circuit and measure the energy vs measuring the wire of the line-out qubit. And for that matter, why Pauli-Y is important in measuring in the line-out qubit.

In short: I am trying to understand quantum variation algorithms using Cirq and how to use the problem (Ising model) described as a circuit to find minimal energies? – Enrique Segura – 2019-04-22T18:49:53.390

Right now I am still unsure of how exactly I can take a hamiltonian and translate that statement into a circuit. – Enrique Segura – 2019-04-22T18:50:40.430

1Which variant of the Ising model are you wanting? one-dimensional transverse Ising model? – DaftWullie – 2019-04-23T07:03:02.140

I am using a 2d lattice with an external field present. – Enrique Segura – 2019-04-27T15:22:38.627

No answers