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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Combinatorial optimization problem via VQE instead of QAOA

I'm studying about the hybrid quantum algorithms and I have a question about the VQE and QAOA. It seems like QAOA is a part of VQE that use a certain ansatz for solving combinatorial optimization ...
William's user avatar
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About the formulation of an Ising Hamiltonian

I am reading the paper from Andrew Lucas, Ising formulations of many NP problems, and I am stuck with the formulation of the following Ising Hamiltonian: $$H = A \bigg( K - \sum_v x_v \bigg)^2 + B\...
Laura's user avatar
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3D toric code (2D + measurement errors) has higher threshold error rate $p_{\text{th}}$ than 2D?

I am doing simulations of the toric code using the statistical mapping worked out by Preskill et al., Topological Quantum Memory, [arXiv:quant-ph/0110143], where we find the phase boundary of an Ising ...
JoJo P's user avatar
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Who is currently working on coherent Ising machines (classical analog devices)?

Can you share some papers on that subject? Review papers would be highly appreciated. What are limitations in terms of connectivity between different spins?
sycramore's user avatar
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Quantum optimization and correlation function

If one imagines the nodes of the classical weighted graph as atoms, and paths between them as bonding strength, then to find the shortest path in the weighted graph, can one also look at the minima/...
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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 ...
Zee'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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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
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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
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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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