Questions tagged [ising-model]

For questions about the Ising model, which describes ferromagnetism in terms of interactions between nearest-neighbors in a lattice. Quantum computing may have some advantages in characterizing solutions to various Ising models.

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Is there any another method for adjusting transverse field? (D'wave)

By using QUBO formula, I can't take in Transverse field equation I was tried using of annealing schedule but it was failed . Is there any another method for adjusting transverse field? (I want to get ...
Cha's user avatar
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What is the closest experimental platform to $H=\sum_{ij} J^X_{ij}X_iX_j+J^Y_{ij}Y_iY_j+J^Z_{ij}Z_iZ_j$?

Consider the Hamiltonian $$H=\sum_{ij} J^X_{ij}X_iX_j+J^Y_{ij}Y_iY_j+J^Z_{ij}Z_iZ_j$$ where $X,Y,Z$ are Pauli spin operators and $J_{ij}^\alpha$ are arbitrary couplings that can be positive and ...
Nichola's user avatar
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Global (Ising) Gates and ZX-calculus representation

I could find from this source -- but also from other works on ZX-calculus -- the following extract: This looks to me as a generalisation of a 2-qubit Ising gate to an $n$-qubit global Ising gate. ...
Daniele Cuomo's user avatar
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Compilation of IBM's kicked-Ising experiment in terms of Pauli rotations

I'm following this paper which classically simulates a kicked-Ising experiment, in response to IBM's recent Nature paper. The quantum circuit in question consists of alternating layers of $R_{ZZ}\left(...
T.H's user avatar
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Difference in the Order of Applying Quantum Gates in Qiskit

I've been experimenting with Qiskit and came across a scenario where I'm uncertain about the effects of the order in which I apply quantum gates. Imagine we have the Hamiltonian Which one would be ...
Hakan Akgün's user avatar
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Fully connected transverse field Ising

Can someone explain to me what a "fully connected transverse field Ising" is ? I know what a classical Ising model is and I think the transverse term refers to the magnetic field being ...
Duen's user avatar
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Observable for Absolute Overall Magnetization of an Ising Model

I am currently following this tutorial for generating a phase transition plot that has been generated in the same tutorial. In this tutorial's magnetization ...
Zeeshan ahmed's user avatar
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(When) must the ground state of a frustrated Hamiltonian be entangled?

I've only recently, and still only haphazardly and rather poorly, begun to understand Ising models with local interactions. I'm interested in particular in the simple one-dimensional Ising model with ...
Mark Spinelli's user avatar
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2 answers
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Does QAOA require that the problem Hamiltonian be an Ising Hamiltonian as a quadratic function of the spin variables?

In the context of QAOA, I often see the problem Hamiltonian being called an "Ising Hamiltonian", and shortly after, I that the Hamiltonian is a quadratic function of the spin variables. Is ...
underdog987's user avatar
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Can we easily find the ground states for one-dimensional ANNNI-like Ising models?

The Hamiltonian for a simple one-dimensional Ising model on a finite (linear) chain of $L$ spin-half particles might be: $$H = -J \sum_{i=0}^{L-1} \sigma_i^z \sigma_{i+1}^z.\tag{1}$$ The interactions ...
Mark Spinelli's user avatar
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Understanding of the transverse-field Ising model

I want to make sure whether I do understand the transverse Ising model correctly or not. The classical Ising model describes the interaction between spins in a grid and the state of spins can be ...
Kai-Chun Lin's user avatar
5 votes
2 answers
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Map a 4-body Ising Hamiltonian to a 2-body Ising Hamiltonian

I wonder if there exists a way to map the square of a 2-body Ising Hamtiltonian (which will make it 4-body) back to a 2-body Hamiltonian that has the same ground state? Let me explain what I mean by ...
Turbotanten's user avatar
4 votes
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Quantum Ising model correlation function query

In this paper on quantum Ising model dynamics, they consider the Hamiltonian $$\mathcal{H} = \sum_{j < k} J_{jk} \hat{\sigma}_{j}^{z}\hat{\sigma}_{k}^{z}$$ and the correlation function $$\mathcal{G}...
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