# Questions tagged [vqe]

For questions about the Variational Quantum Eigensolver, a quantum/classical hybrid algorithm that can be used to find eigenvalues of a (often large) matrix H. When this algorithm is used in quantum simulations, H is typically the Hamiltonian of some system. In this hybrid algorithm, a quantum subroutine is run inside of a classical optimization loop.

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### Complexity of Variational Quantum Eigensolvers

I am doing research surrounding VQE and am a bit confused about the complexity and its comparison to classical systems. My brief research has yielded me that classical eigenvalue solving is $O(n^3)$. ...
259 views

### How to assign new parameters to an existing quantum circuit?

Say I have a quantum circuit like this This is an ansatz for solving linear equation provided in the Qiskit's textbook In the textbook, it was shown how to find the optimal parameters of this ansatz ...
1k views

### VQE - How to get from expectation value to eigenvalue?

In VQE, for a single-qubit Hamiltonian, I can use a standard ansatz to make a state $\psi$ and use two products to compute the expectation value $\langle\psi|{\cal H}|\psi\rangle$. As I vary the ...
1 vote
24 views

### How to combine a VQE circuit with normal qiskit quantum circuit without parameters and give the measured set of qubits to the estimator?

I want to use a parameterized quantum-circuit which is $\text{CNOT}$ with another quantum-circuit that has no parameters, then after a series of gates on the second quantum-circuit, I want to measure ...
1 vote
76 views

### 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 ...
348 views

### VQE jobs do not appear in queue

I am trying to calculate the ground state energy of some simple molecules using 'MolecularGroundStateEnergy' tools in qiskit. When I run the calculations for very small molecules (e.g. H2, HeH+) the ...
30 views

### Prereqs for learning Variational Quantum Eigensolver (VQE)

I am trying to learn Variational Quantum Eigensolver algorithm(s) for a class. However, I am struggling because I don't understand any of the problems we are trying to solve. I want to know what I ...
1 vote
243 views

### Where can I find tutorials on quantum variational algorithms?

I am interested in learning about quantum algorithms, especially quantum variational algorithms. I would like to know where I can find resources that delve into specific quantum variational algorithms ...
16 views

### Running VQE code using qiskit_nature on IBM computers

$\texttt{qiskit_nature}$ no longer has the $\texttt{runtime}$ feature and $\texttt{VQEClient}$ function that was used to run a VQE code on one of the IBM computers. I could not find any easy migration ...
1 vote
67 views

### How can I Combine Qiskit's VQE Tutorial and TSP Simulator to solve the TSP on a real backend efficiently?

I have a university project where I am trying to solve the Traveling Salesman Problem by using a real quantum backend, rather than just the VQE simulator, as in this tutorial. I found this code on ...
1 vote
61 views

### Usage of qiskit API MatrixOp.to_pauli_op()

I am quite confused with the MatrixOp.to_pauli_op() API. I have a hamiltonian, and it is given as input to a API MatrixOp. ...
1 vote
24 views

### vqe.compute_minimum_eigenvalue API of qiskit produces different eigenstate results for statevector_simulator ands qasm_simulator

I am trying to understand the usage of vqe.compute_minimum_eigenvalue API of qiskit for the statevector_simulator and qasm_simulator. I am only interested in the <...
305 views

### How can I get the counts, as well as the solution bitstring from Qiskit VQE?

I just set up a Qiskit VQE algorithm and calculated the eigenstates. However, I'm searching now, how to show up the final, most likely solution-bit-string. And/or to print the counts. I actually ...
22 views

### VQE on Qiskit: getting counts per Hamiltonian term

Consider a VQE calculation (using the QASM backend and on Qiskit) that involves a qubit Hamiltonian with, say, 5 terms. Is there a way for us to get the counts for each of the Hamiltonian terms that ...
1 vote
25 views

### Reusing Parameters for Multiple Runs with Qiskit's SPSA Optimization

I am using Qiskit's SPSA optimization algorithm to find the ground state energy of various lattices (Fermi-Hubbard model) by running different circuits through it and having the algorithm modify the ...
1 vote
176 views