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Related papers: Hot-Starting Quantum Portfolio Optimization

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Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

Quantum Physics · Physics 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

Portfolio optimization is a fundamental problem in finance that aims to determine the optimal allocation of assets within a portfolio to maximize returns while minimizing risk. It can be formulated as a Quadratic Unconstrained Binary…

Quantum Physics · Physics 2025-08-27 Anbang Wang , Zhonggang Lv , Zhenyuan Ma , Dunbo Cai , Zhihong Zhang

The quantum approximate optimization algorithm (QAOA) is designed to determine optimum and near optimum solutions of quadratic (and higher order) unconstrained binary optimization (QUBO or HUBO) problems, which in turn accurately model…

Quantum Physics · Physics 2025-03-18 Prashanti Priya Angara , Danylo Lykov , Ulrike Stege , Yuri Alexeev , Hausi Müller

In materials informatics, searching for chemical materials with desired properties is challenging due to the vastness of the chemical space. Moreover, the high cost of evaluating properties necessitates a search with a few clues. In…

Quantum Physics · Physics 2023-12-18 Mikiya Doi , Yoshihiro Nakao , Takuro Tanaka , Masami Sako , Masayuki Ohzeki

Several combinatorial optimization problems can be solved with NISQ devices once that a corresponding quadratic unconstrained binary optimization (QUBO) form is derived. The aim of this work is to drastically reduce the variables needed for…

Quantum Physics · Physics 2026-02-25 Dario De Santis , Salvatore Tirone , Stefano Marmi , Vittorio Giovannetti

Portfolio optimization is a cornerstone of financial decision-making, traditionally relying on classical algorithms to balance risk and return. Recent advances in quantum computing offer a promising alternative, leveraging quantum…

Quantum Physics · Physics 2025-11-27 Vicente P. Soloviev , Michal Krompiec

Quantum computing provides powerful algorithmic tools that have been shown to outperform established classical solvers in specific optimization tasks. A core step in solving optimization problems with known quantum algorithms such as the…

Quantum annealing aims at solving optimization problems of practical relevance using quantum-computing hardware. Problems of interest are typically formulated in terms of quadratic unconstrained binary optimization (QUBO) Hamiltonians.…

The quest for real-time dynamic optimization solutions in the process industry represents a formidable computational challenge, particularly within the realm of applications like model-predictive control, where rapid and reliable…

Optimization and Control · Mathematics 2024-04-29 Dennis Michael Nenno , Adrian Caspari

The broad applicability of Quadratic Unconstrained Binary Optimization (QUBO) constitutes a general-purpose modeling framework for combinatorial optimization problems and are a required format for gate array and quantum annealing computers.…

Artificial Intelligence · Computer Science 2021-04-06 Amit Verma , Mark Lewis

Adiabatic quantum optimization is a procedure to solve a vast class of optimization problems by slowly changing the Hamiltonian of a quantum system. The evolution time necessary for the algorithm to be successful scales inversely with the…

Quantum Physics · Physics 2015-12-16 Salvatore Mandrà , Gian Giacomo Guerreschi , Alán Aspuru-Guzik

Quantum annealing is a method developed to solve combinatorial optimization problems by utilizing quantum bits. Solving such problems corresponds to minimizing a cost function defined over binary variables. However, in many practical cases,…

Quantum Physics · Physics 2025-06-26 Seiya Endo , Shohei Kawakatsu , Hiromichi Matsuyama , Kohei Suzuki , Yuichiro Matsuzaki

Many organizations that vitally depend on computation for their competitive advantage are keen to exploit the expected performance of quantum computers (QCs) as soon as quantum advantage is achieved. The best approach to deliver hardware…

The Quantum Approximate Optimization Algorithm (QAOA) is a leading hybrid heuristic for combinatorial optimization, but efficiently handling hard constraints remains a significant challenge. XY-mixers successfully confine quantum state…

Combinatorial optimization is a challenging problem applicable in a wide range of fields from logistics to finance. Recently, quantum computing has been used to attempt to solve these problems using a range of algorithms, including…

Quantum Physics · Physics 2024-03-06 Jonathan Wurtz , Stefan Sack , Sheng-Tao Wang

The increasing scale and nonlinearity of modern energy and power system problems pose significant challenges to classical numerical solvers. In parallel, advances in quantum and quantum-inspired hardware are expected to improve scalability…

Emerging Technologies · Computer Science 2026-04-28 Zeynab Kaseb , Matthias Moller , Peter Palensky , Pedro P. Vergara

Combinatorial optimization is a fundamental challenge in various domains, with portfolio optimization standing out as a key application in finance. Despite numerous quantum algorithmic approaches proposed for this problem, most overlook a…

Quantum annealing is a heuristic algorithm for solving combinatorial optimization problems, and D-Wave Systems Inc. has developed hardware for implementing this algorithm. The current version of the D-Wave quantum annealer can solve…

Quantum Physics · Physics 2022-11-09 Shuntaro Okada , Masayuki Ohzeki , Shinichiro Taguchi

Effectively encoding inequality constraints is a primary obstacle in applying quantum algorithms to financial optimization. A quantum model for Markowitz portfolio optimization is presented that resolves this by embedding slack variables…

Optimization and Control · Mathematics 2026-01-08 Pablo Thomassin , Guillaume Guerard , Sonia Djebali , Vincent Marc Lambert

The promise of quantum computing to open new unexplored possibilities in several scientific fields has been long discussed, but until recently the lack of a functional quantum computer has confined this discussion mostly to theoretical…

Information Retrieval · Computer Science 2021-10-12 Riccardo Nembrini , Maurizio Ferrari Dacrema , Paolo Cremonesi