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 ...
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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 ...
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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. ...
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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(...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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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