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Questions tagged [qubo]

Questions about or related to QUBO (quadratic unconstrained binary-function optimization).

4 votes
1 answer
92 views

Is there any mathematical technique to find the exact solution of a QUBO problem?

Suppose I am given a QUBO problem consisting in the minimization of a quadratic function $\vec{x}^T Q \vec{x}$ over a binary-valued vector $\vec{x} \in \{0, 1\}^n$, with $Q$ a symmetric indefinite ...
SimoneGasperini's user avatar
1 vote
1 answer
49 views

A highly space-efficient embedding of prime factorization problem using the Ising model

What's the idea? I'm trying to embed the prime factorization problem into the form of a PUBO. To do so, let $p$ and $q$ be two real positive numbers. We can represent these two numbers as binary ...
Amirhossein Rezaei's user avatar
2 votes
1 answer
70 views

How to apply the QAOA in such a QUBO problem?

It was a rainy night, bro was learning QAOA and stuck on such a problem. For example, 100 CAD is exchanged for USD, USD is exchanged for EUR, and EUR is then exchanged back to CAD. The final value in ...
Budget's user avatar
  • 23
1 vote
0 answers
24 views

Converting a Quartic Term into Quadratic Form in QUBO for Prime Factorization

This is a continuation of this question and I encourage you to read that as well. I'm trying to embed the prime factorization problem into the form of a QUBO. To do so, let $p$ and $q$ be two real ...
Amirhossein Rezaei's user avatar
2 votes
1 answer
54 views

Optimizing SymPy Implementation of prime factorization in form of QUBO

I'm trying to reproduce a paper on Prime Factorization. This paper converts the problem into a QUBO form, which then we can map it to an Ising Minimizer. I've basically done everything, and I've ...
Amirhossein Rezaei's user avatar
1 vote
0 answers
142 views

How to convert QUBO (with non-zero diagonal elements) to Maxcut?

I want to solve QUBO with non-zero diagonal elements in matrix Q using QAOA. But I want to solve for a large enough problem size (30+ variables) and hence want to divide my circuit into subcircuits. ...
Oleksii's user avatar
  • 21
0 votes
0 answers
21 views

How to add expressions to a Binary Quadratic Model, similar to CQM?

In a constrained quadratic model, we are able to create expressions like this: ...
underdog987's user avatar
1 vote
1 answer
70 views

Question on efficiency of HOBO Quadratization and other depth reducing techniques

I am having trouble understanding some concepts in Quadratizing a high order polynomial. I am reading the review "Quadratization in Discrete Optimization and Quantum Mechanics" . I would ...
QuantumTheoretical's user avatar
1 vote
1 answer
211 views

Mapping a QUBO onto an observable for use with Qiskit QAOA

Background I am attempting to understand the post-aqua way that external qiskit libraries are supposed to be used for solving QUBOs. To do so I am trying to work with the toy problem of minimizing $f(...
Shadow43375's user avatar
2 votes
0 answers
24 views

Is there a compendium of quadratic penalties for logic relationships between binary variables?

I'm looking for a compendium/look-up table for a relationship between binary variables, and corresponding QUBO penalty functions. I'm aware of a few from DWave docs, this question, but I can't find a ...
underdog987's user avatar
20 votes
2 answers
3k views

Did D-Wave show quantum advantage in 2023?

I would like to know your thoughts on whether or not D-Wave has shown a a smoking-gun example of quantum advantage this year. I am genuinely not quite sure what to think, but I believe the answer to ...
sheesymcdeezy's user avatar
1 vote
0 answers
119 views

bad solution to the knapsack problem on Qiskit

To solve the knapsack problem, I translate it into a QUBO. But the solutions obtained on the simulator are incorrect. Are there ways to make the answers correct? The picture shows the cost function, ...
Сударь Сударев's user avatar
1 vote
1 answer
121 views

How to use D-Wave decomposers?

I'm currently trying to work on a minimization problem using D-Wave hybrid and quantum machines. The problem is, shortly, an energy optimization for a network of switches and servers, linked as a ...
Amedeo Bertuzzi's user avatar
-1 votes
1 answer
174 views

4-cities traveling salesman quantum algorithm (QUBO)

A quantum version of the traveling salesman algorithm is discussed here: There is a reference to QUBO, Ising, and some matrix constructions, and the output in the end: Is anyone able to run through ...
James's user avatar
  • 501
6 votes
0 answers
133 views

How to use Warm-Start QAOA in QisKit to solve non-convex QUBO problem?

I have a non-convex QUBO problem that I'd like to solve by warm-starting QAOA with a solution obtained from a continuous relaxation solution obtained by a classical algorithm. The specifics of the ...
underdog987's user avatar

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