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Optimization algorithms using quantum computing
Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems. Mathematical optimization deals with finding the best
Quantum optimization algorithms
Quantum_optimization_algorithms
Quantum physics-based metaheuristic for optimization problems
Quantum annealing (QA) is an optimization process for finding the global minimum of a given objective function over a given set of candidate solutions
Quantum_annealing
Algorithm to be run on quantum computers
system for algorithm discovery and optimization Quantum machine learning Quantum optimization algorithms Quantum sort Primality test HHL algorithm Nielsen
Quantum_algorithm
Quantum algorithm
In quantum computing, the variational quantum eigensolver (VQE) is a quantum algorithm for quantum chemistry, quantum simulations and optimization problems
Variational quantum eigensolver
Variational_quantum_eigensolver
several quantum algorithms Quantum optimization algorithms: family of quantum algorithms for optimization problems Quantum phase estimation algorithm: estimates
List_of_algorithms
Study of mathematical algorithms for optimization problems
of the simplex algorithm that are especially suited for network optimization Combinatorial algorithms Quantum optimization algorithms The iterative methods
Mathematical_optimization
Computer programming for quantum computers
Quantum programming refers to the process of designing and implementing algorithms that operate on quantum systems, typically using quantum circuits composed
Quantum_programming
Interdisciplinary research area
Quantum machine learning (QML) is the study of quantum algorithms for machine learning. It often refers to quantum algorithms for machine learning tasks
Quantum_machine_learning
Subfield of mathematical optimization
algorithms that quickly rule out large parts of the search space or approximation algorithms must be resorted to instead. Combinatorial optimization is
Combinatorial_optimization
Sequence of operations for a task
perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use conditionals
Algorithm
Experimental technology level
for quantum processors in the NISQ era. Common examples are the variational quantum eigensolver (VQE) and quantum approximate optimization algorithm (QAOA)
Noisy intermediate-scale quantum computing
Noisy_intermediate-scale_quantum_computing
Quantum algorithm for integer factorization
the American mathematician Peter Shor. It is one of the few known quantum algorithms with compelling potential applications and strong evidence of superpolynomial
Shor's_algorithm
Quantum search algorithm
In quantum computing, Grover's algorithm, also known as the quantum search algorithm, is a quantum algorithm for unstructured search that finds with high
Grover's_algorithm
Computer hardware technology that uses quantum mechanics
adiabatic algorithm exist. Quantum algorithms can be roughly categorized by the type of speedup achieved over corresponding classical algorithms. Quantum algorithms
Quantum_computing
List of quantum computing algorithms
quantum algorithms, including algorithms, algorithmic techniques, computational models, and problem frameworks used in quantum computing. A quantum algorithm
List_of_quantum_algorithms
Quantum algorithm for counting solutions to search problems
The Quantum counting algorithm is a quantum algorithm for efficiently counting the number of solutions for a given search problem. The algorithm is based
Quantum_counting_algorithm
Type of quantum information processing
Adiabatic quantum computation (AQC) is a form of quantum computing which relies on the adiabatic theorem to perform calculations and is closely related
Adiabatic_quantum_computation
Remote quantum processors for computation
for quantum computing. It includes a programming language, example optimization and scheduling algorithms, and quantum simulators. Q#, a quantum programming
Cloud-based_quantum_computing
Quantum algorithm for solving systems of linear equations
The Harrow–Hassidim–Lloyd (HHL) algorithm is a quantum algorithm for obtaining certain limited information about the solution to a system of linear equations
HHL_algorithm
Probabilistic optimization technique and metaheuristic
Specifically, it is a metaheuristic to approximate global optimization in a large search space for an optimization problem. For large numbers of local optima, SA
Simulated_annealing
Cryptography secured against quantum computers
cryptographic algorithms (usually public-key algorithms) that are currently thought, but not proven, to be secure against a cryptanalytic attack by a quantum computer
Post-quantum_cryptography
Quantum algorithm
The Bernstein–Vazirani algorithm, which solves the Bernstein–Vazirani problem, is a quantum algorithm invented by Ethan Bernstein and Umesh Vazirani in
Bernstein–Vazirani_algorithm
Quantum algorithm for eigenvalue estimation
other quantum algorithms, such as Shor's algorithm, the quantum algorithm for linear systems of equations, and the quantum counting algorithm. The algorithm
Quantum phase estimation algorithm
Quantum_phase_estimation_algorithm
Quantum Mechanics in Neural Networks
pattern recognition) with the advantages of quantum information in order to develop more efficient algorithms. One important motivation for these investigations
Quantum_neural_network
Optimization algorithm
descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for minimizing a differentiable multivariate function
Gradient_descent
Computing company founded in 2014
primary uses for quantum computing is combinatorial optimization, as its applications extend to logistics, supply chain optimization, and route planning
Quantinuum
This is a list of artificial intelligence algorithms, including algorithms and algorithmic methods used in artificial intelligence (AI) for search, automated
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
Probabilistic algorithms to simulate quantum many-body systems
block decimation Metropolis–Hastings algorithm Wavefunction optimization Monte Carlo molecular modeling Quantum chemistry computer programs Numerical
Quantum_Monte_Carlo
Any algorithm which solves the search problem
In computer science, a search algorithm is an algorithm designed to solve a search problem. Search algorithms work to retrieve information stored within
Search_algorithm
Machine learning technique
constitution. Direct alignment algorithms (DAA) have been proposed as a new class of algorithms that seek to directly optimize large language models (LLMs)
Reinforcement learning from human feedback
Reinforcement_learning_from_human_feedback
Computational benchmark
In quantum computing, quantum supremacy or quantum advantage is the goal of demonstrating that a programmable quantum computer can solve a problem that
Quantum_supremacy
Deterministic quantum algorithm
The Deutsch–Jozsa algorithm is a deterministic quantum algorithm proposed by David Deutsch and Richard Jozsa in 1992 with improvements by Richard Cleve
Deutsch–Jozsa_algorithm
Cloud quantum computing platform
to run algorithms and experiments, and explore tutorials and simulations around what might be possible with quantum computing. IBM's quantum processors
IBM_Quantum_Platform
Quantum algorithm
simultaneously. Search algorithms based on quantum walks have the potential to find applications in various fields, including optimization, machine learning
Quantum_walk_search
Model of quantum computation
captures all of the power of quantum computation—that is, any quantum algorithm can be expressed formally as a particular quantum Turing machine. However,
Quantum_Turing_machine
Metric for a quantum computer's capabilities
Ivano; Temme, Kristan (2018). "Quantum optimization using variational algorithms on near-term quantum devices". Quantum Science and Technology. 3 (3):
Quantum_volume
BSO algorithms have appeared in various journals and conferences. There have also been special issues and special sessions on Brain Storm Optimization algorithm
Brain storm optimization algorithm
Brain_storm_optimization_algorithm
Optimization method
Stochastic optimization (SO) are optimization methods that generate and use random variables. For stochastic optimization problems, the objective functions
Stochastic_optimization
Basic circuit in quantum computing
perform on the quantum data (qubits or quantum states) that they process, although they can also be whole algorithms (e.g. the Quantum Fourier transform)
Quantum_logic_gate
Computational complexity class of problems
is the quantum analogue to the complexity class BPP. A decision problem is a member of BQP if there exists a quantum algorithm (an algorithm that runs
BQP
Algorithm in computational quantum physics
cost functions were used in QMC optimization energy, variance or a linear combination of them. The variance optimization method has the advantage that the
Variational_Monte_Carlo
Quantum algorithm
In quantum computing, the Brassard–Høyer–Tapp (BHT) algorithm is a quantum algorithm that solves the collision problem. In this problem, one is given
BHT_algorithm
Sorting algorithms for quantum computers
(n\log n)} steps, which is already achievable by classical algorithms. Thus, for this task, quantum computers are no better than classical ones, and should
Quantum_sort
Quantum computing company
using quantum annealing (a general method for finding the global minimum of a function by a process using quantum fluctuations) to solve optimization problems
D-Wave_Systems
In applied mathematics, multimodal optimization deals with optimization tasks that involve finding all or most of the multiple (at least locally optimal)
Evolutionary multimodal optimization
Evolutionary_multimodal_optimization
Research division of Google
to build large-scale, error-corrected quantum computers and advance quantum hardware, software, and algorithms for scientific and practical applications
Google_Quantum_AI
Model-free reinforcement learning algorithm
Proximal policy optimization (PPO) is a reinforcement learning (RL) algorithm for training an intelligent agent. Specifically, it is a policy gradient
Proximal_policy_optimization
Overview of and topical guide to algorithms
Genetic algorithm Ant colony optimization algorithms Particle swarm optimization Evolutionary algorithm A* search algorithm Minimax Alpha–beta pruning Graphplan
Outline_of_algorithms
Open-source software development kit
programs (quantum applications or algorithmic routines) on the IBM Quantum Platform to invoke as needed. This turns custom quantum algorithms into services
Qiskit
Secure communication method
symmetric key algorithms like the Advanced Encryption Standard algorithm. Quantum communication involves encoding information in quantum states, or qubits
Quantum_key_distribution
Change of basis applied in quantum computing
discrete Fourier transform. The quantum Fourier transform is a part of many quantum algorithms, notably Shor's algorithm for factoring and computing the
Quantum_Fourier_transform
Combinatorial optimization problem
unconstrained binary optimization (QUBO), also known as unconstrained binary quadratic programming (UBQP), is a combinatorial optimization problem with a wide
Quadratic unconstrained binary optimization
Quadratic_unconstrained_binary_optimization
development of quantum computing, quantum communication and quantum sensing. Quantum computing and communication are two sub-fields of quantum information
List of companies involved in quantum computing, communication or sensing
List_of_companies_involved_in_quantum_computing,_communication_or_sensing
Branch of mathematics
Swarm-based optimization algorithms (e.g., particle swarm optimization, social cognitive optimization, multi-swarm optimization and ant colony optimization) Memetic
Global_optimization
Networks connecting quantum processors
small quantum processor featuring several qubits. NV centers can be utilized at room temperatures. Small scale quantum algorithms and quantum error correction
Quantum_network
Problem in combinatorial optimization
an optimal solution. Quantum approximate optimization algorithm (QAOA) can be employed to solve Knapsack problem using quantum computation by minimizing
Knapsack_problem
Technological development using the laws of quantum mechanics
the user. A quantum random number generator can be used, which is capable of producing truly random numbers unlike non-quantum algorithms that imitate
Quantum_engineering
Field of robotics, physics
robotic scenarios, the use of quantum algorithms in performing robotics tasks, and the integration of quantum devices (e.g., quantum detectors) in robotic systems
Quantum_robotics
timeline of quantum computing and communication. Erwin Schrödinger publishes a theorem setting the basis for quantum steering and the limits of quantum state
Timeline of quantum computing and communication
Timeline_of_quantum_computing_and_communication
Quantum computing implementation
that involve an "oracle". Certain algorithms designed for quantum computers, such as Grover Search or Shor's algorithm, are believed to be able to do some
Superconducting quantum computing
Superconducting_quantum_computing
Optimization and sampling technique
is an optimization and sampling technique composed of characteristics from Stochastic gradient descent, a Robbins–Monro optimization algorithm, and Langevin
Stochastic gradient Langevin dynamics
Stochastic_gradient_Langevin_dynamics
Process in quantum computing
algorithms that map measured error syndromes to their corresponding recovery operations. The sequence of applied quantum gates can also be optimized,
Quantum_error_correction
Subset of artificial intelligence
as hardware acceleration, approximate computing, and model optimization. Common optimization techniques include pruning, quantisation, knowledge distillation
Machine_learning
simulation, and optimization algorithms) require a shared memory architecture. Quil is being developed for the superconducting quantum processors developed
Glossary_of_quantum_computing
Interdisciplinary theory behind quantum computing
frameworks, designing quantum algorithms, constructing quantum hardware, and implementing quantum communication protocols. Quantum teleportation, entanglement
Quantum_information_science
Rational design of new protein molecules
message-passing algorithms have been designed specifically for the optimization of the LP relaxation of the protein design problem. These algorithms can approximate
Protein_design
Algorithm that arranges lists in order
Efficient sorting is important for optimizing the efficiency of other algorithms (such as search and merge algorithms) that require input data to be in
Sorting_algorithm
Subfield of computer science and mathematics
Group on Algorithms and Computation Theory (SIGACT) provides the following description: TCS covers a wide variety of topics including algorithms, data structures
Theoretical_computer_science
Task of computing complete subgraphs
(1988), "9.4 Coloring Perfect Graphs", Geometric Algorithms and Combinatorial Optimization, Algorithms and Combinatorics, vol. 2, Springer-Verlag, pp. 296–298
Clique_problem
Class of reinforcement learning algorithm
RL algorithms include Deep Q-Network (DQN), Dueling DQN, Double DQN (DDQN), Trust Region Policy Optimization (TRPO), Proximal Policy Optimization (PPO)
Model-free (reinforcement learning)
Model-free_(reinforcement_learning)
American physicist
introduced a scheme for quantum money. In 2014 Farhi, Goldstone, and Gutmann introduced the quantum approximate optimization algorithm (QAOA) for finding approximate
Edward_Farhi
Optimization algorithm
back to the Robbins–Monro algorithm of the 1950s. Today, stochastic gradient descent has become an important optimization method in machine learning
Stochastic_gradient_descent
Very general problem in computer science
important in the theory of quantum computing because Shor's algorithms for factoring and finding discrete logarithms in quantum computing are instances of
Hidden_subgroup_problem
Overview of and topical guide to machine learning
involves the study and construction of algorithms that can learn from and make predictions on data. These algorithms operate by building a model from a training
Outline_of_machine_learning
Vector quantization algorithm minimizing the sum of squared deviations
efficient heuristic algorithms converge quickly to a local optimum. These are usually similar to the expectation–maximization algorithm for mixtures of Gaussian
K-means_clustering
Theorem in computational complexity theory
inherent difficulty in designing efficient approximation algorithms for various optimization problems. It has been described by Ingo Wegener as "the most
PCP_theorem
Probabilistic problem-solving algorithm
issues related to simulation and optimization. The traveling salesman problem is what is called a conventional optimization problem. That is, all the facts
Monte_Carlo_method
US information technology company
ion quantum computers and accompanying software to generate, optimize, and execute quantum circuits. IonQ was co-founded by Christopher Monroe and Jungsang
IonQ
This list contains quantum processors, also known as quantum processing units (QPUs). Some devices listed below have only been announced at press conferences
List_of_quantum_processors
Optimization algorithm
In operations research, cuckoo search is an optimization algorithm developed by Xin-She Yang and Suash Deb in 2009. It has been shown to be a special case
Cuckoo_search
Restricted model of non-universal quantum computation
Boson sampling is a computational task particularly friendly to quantum computers as opposed to classical computers. As explained by Philip Ball, it "entails
Boson_sampling
Citizen science project
presumed quantum speed limit is a huge challenge for quantum algorithms and the task that Quantum Moves players are asked to tackle. In Quantum Moves, the
Quantum_Moves
Computational problem of graph theory
(1996-07-18). "A Quantum Algorithm for Finding the Minimum". arXiv:quant-ph/9607014. Nayebi, Aran; Williams, V. V. (2014-10-22). "Quantum algorithms for shortest
Shortest_path_problem
Quantum computing algorithm
accurate quantum states from multiple noisy ones, which is important for building fault tolerant quantum computers. It has also been linked to quantum contextuality
Magic_state_distillation
Search problem in quantum mechanics
and a binary vector. 2D HLF can be solved exactly by a constant-depth quantum circuit restricted to a 2-dimensional grid of qubits using bounded fan-in
Hidden linear function problem
Hidden_linear_function_problem
Horowitz – Fundamentals of Computer Algorithms Henry S. Warren, Jr. – Hacker's Delight Niklaus Wirth – Algorithms + Data Structures = Programs and Systematic
List_of_computer_books
Continuous optimization Discrete optimization Linear programming (also treats integer programming) — objective function and constraints are linear Algorithms for
List of numerical analysis topics
List_of_numerical_analysis_topics
Quantum-mechanical version of computer memory
the states stored in quantum memory can be in a quantum superposition, giving much more practical flexibility in quantum algorithms than classical information
Quantum_memory
Computer simulation of chemical systems
classical algorithms. For instance, it has implications for the Quantum Phase Estimation algorithm, which is fundamental in various quantum computing
Quantum computational chemistry
Quantum_computational_chemistry
Standard for the encryption of electronic data
During the AES selection process, developers of competing algorithms wrote of Rijndael's algorithm "we are concerned about [its] use ... in security-critical
Advanced_Encryption_Standard
Cryptography based on quantum mechanical phenomena
Quantum cryptography is the science of exploiting quantum mechanical properties such as quantum entanglement, measurement disturbance, no-cloning theorem
Quantum_cryptography
Artificial neural network node function
Practical Mathematical Optimization: An Introduction to Basic Optimization Theory and Classical and New Gradient-Based Algorithms. Springer Science & Business
Activation_function
Computer scientist
contributions to quantum circuit synthesis, optimization, and benchmarking. He has held senior research and leadership roles at IBM Quantum, the U.S. National
Dmitri_Maslov
Decomposition of a number into a product
factorization (SQUFOF) Shor's algorithm, for quantum computers In number theory, there are many integer factoring algorithms that heuristically have expected
Integer_factorization
Quantum-safe key encapsulation mechanism
designed to be resistant to cryptanalytic attacks with future powerful quantum computers that was standardized in 2024. It is used to establish a shared
ML-KEM
Type of quantum computer
Nonetheless, certain algorithms may be a more natural fit to the topological quantum computer model. For example, algorithms for evaluating the Jones
Topological_quantum_computer
NP-hard problem in combinatorial optimization
of the most intensively studied problems in optimization. It is used as a benchmark for many optimization methods. Even though the problem is computationally
Travelling_salesman_problem
Set of cryptographic hash functions
robustness of NIST's overall hash algorithm toolkit. For small message sizes, the creators of the Keccak algorithms and the SHA-3 functions suggest using
SHA-3
Information held in the state of a quantum system
play. Other examples of algorithms that demonstrate quantum supremacy include Grover's search algorithm, where the quantum algorithm gives a quadratic speed-up
Quantum_information
Subfield of convex optimization
polynomial optimization problems. Semidefinite programming has been used in the optimization of complex systems. In recent years, some quantum query complexity
Semidefinite_programming
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
Boy/Male
Danish, Finnish, French, German, Latin, Shakespearean, Swedish
Born Fifth
Boy/Male
Latin Biblical
Born fourth.
Biblical
fourth
Boy/Male
Hindu, Indian
Calm
Girl/Female
Biblical
Fourth.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from any of several places in France deriving their names from the Gallo-Roman personal name Quintus, meaning ‘fifth(-born)’ + the locative suffix -acum. The earliest bearers of the name in England were from Cuinchy in Pas-de-Calais, but other stocks may be from Quincy-sous-Sénard in Seine-et-Oise or Quincy-Voisins in Seine-et-Marne.The American Quincy family were established in MA by Edmund Quincy in 1633. Fifth in descent was Josiah Quincy (1744–75), a leading patriot, who was sent to England to argue the colonists’ case in 1774. His son Josiah (1772–1864) was a powerful opponent of slavery, president of Harvard, and mayor of Boston, a post also held by several of his descendants. The traditional pronunciation is “Quinzyâ€.
Male
English
English surname transferred to forename use, derived from the Norman baronial name Cuinchy, a derivative of Roman Quintus, QUINCY means "fifth."
Surname or Lastname
English
English : nickname from Middle English cointe, quointe ‘known’ (via Old French, from Latin cognitus ‘known’). The Middle English word was used in various senses, any of which could have given rise to the surname: ‘cunning’, ‘crafty’, ‘knowledgeable’ (especially about dress, hence ‘elegant’), ‘attractive’. The sense development continued with ‘odd’ or ‘unusual’, the normal meaning of the modern English word ‘quaint’.German and Dutch : variant of Quandt.
Surname or Lastname
English
English : from the personal name Horace, Latin Horatius, a Roman family name of unknown origin, associated chiefly with the name of the poet Quintus Horatius Flaccus (65–8 bc).
Surname or Lastname
South German
South German : occupational name for an official in charge of the legal auction of property confiscated in default of a fine; such a sale was known in Middle High German as a gant (from Italian incanto, a derivative of Late Latin inquantare ‘to auction’, from the phrase In quantum? ‘To how much (is the price raised)?’).German : metonymic occupational name for a cooper, from Middle High German ganter, kanter ‘barrel rack’.German : variant of Gander 3.English : occupational name for a glover, from Old French gantier, an agent derivative of gant ‘glove’ (see Gant).
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
Surname or Lastname
English
English : habitational name from any of various places called Barwick, for example in Norfolk, Somerset, and West Yorkshire, from Old English bere ‘barley’ + wīc ‘outlying farm’, i.e. a granary lying some distance away from the main village.North German : habitational name from a place called Berwick, near Soest, in Westphalia.
Boy/Male
Tamil
Devadutt | தேவதà¯à®¤à¯à®¤à®¾
King, Gift of God
Boy/Male
Tamil
Welfare
Girl/Female
Muslim
Pretty, Beautiful, Graceful
Boy/Male
Indian, Telugu
Hundreds
Boy/Male
Hindu, Indian
Name of Indian King in Mahabharat; Whole; A King of Hastinapura in the Epic of Mahabharata; Father of Bhishma
Boy/Male
Bengali, Hindu, Indian, Kannada, Telugu
Mountain
Girl/Female
Greek Latin
The feminine form of Augustine.
Boy/Male
Hindu, Indian
Ocean; One Connected to Body of Water
Girl/Female
Tamil
Bhagavath | பாகவாத
Name of Goddess Saraswati Devi inspired, Intuitive, And creative, Goddess Durga
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
n.
The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc.
a.
Of, pertaining to, or in the manner of, the Roman general, Quintus Fabius Maximus Verrucosus; cautious; dilatory; avoiding a decisive contest.
n.
A quantic of the eighth degree.
n.
Part or proportion; quota.
n.
A quantic of the second degree. See Quantic.
n.
A quantic of the fourth degree. See Quantic.
n.
A homogeneous algebraic function of two or more variables, in general containing only positive integral powers of the variables, and called quadric, cubic, quartic, etc., according as it is of the second, third, fourth, fifth, or a higher degree. These are further called binary, ternary, quaternary, etc., according as they contain two, three, four, or more variables; thus, the quantic / is a binary cubic.
n.
A quantic of the fifth degree. See Quantic.
n.
One of the variables of a quantic as distinguished from a coefficient.
n.
A quantic of the seventh degree.
n.
Quantity; amount.
n.
A punting pole with a broad flange near the end to prevent it from sinking into the mud; a setting pole.
pl.
of Quantum
n.
A quantic of the sixth degree.
n.
A fanciful, odd, or extravagant notion; a quant fancy; an unnatural or affected conception; a witty thought or turn of expression; a fanciful device; a whim; a quip.
n.
A definite portion of a manifoldness, limited by a mark or by a boundary.
n.
A function involving the coefficients and the variables of a quantic, and such that when the quantic is lineally transformed the same function of the new variables and coefficients shall be equal to the old function multiplied by a factor. An invariant is a like function involving only the coefficients of the quantic.