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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
several quantum algorithms Quantum optimization algorithms: family of quantum algorithms for optimization problems Quantum phase estimation algorithm: estimates
List_of_algorithms
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Any algorithm which solves the search problem
problem in cryptography) Search engine optimization (SEO) and content optimization for web crawlers Optimizing an industrial process, such as a chemical
Search_algorithm
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 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
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
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
Computational benchmark
to unpredictable possible improvements in classical computers and algorithms, quantum supremacy may be temporary or unstable, placing possible achievements
Quantum_supremacy
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
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
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
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
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
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 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
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
Optimization method
Stochastic optimization (SO) are optimization methods that generate and use random variables. For stochastic optimization problems, the objective functions
Stochastic_optimization
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
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
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
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
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
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
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
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
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
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
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
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
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
Research division of Google
eventually build large-scale, error-corrected quantum computers and advance quantum hardware, software, and algorithms for scientific and practical applications
Google_Quantum_AI
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
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
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
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
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
Interdisciplinary theory behind quantum computing
frameworks, designing quantum algorithms, constructing quantum hardware, and implementing quantum communication protocols. Quantum teleportation, entanglement
Quantum_information_science
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
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
Projected date when quantum computers could break modern encryption
(NIST) conducted a multi-year public evaluation of candidate post-quantum algorithms, receiving 82 submissions. In August 2024 the first three standards
Quantum_Threat
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
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
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
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
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
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
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
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
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
simulation, and optimization algorithms) require a shared memory architecture. Quil is being developed for the superconducting quantum processors developed
Glossary_of_quantum_computing
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 company in Boston, Massachusetts
combinatorial optimization. A QRC Tutorials repository was created on June 10, 2024, providing a set of tutorials for learning quantum reservoir computing
QuEra
Equivalence of average-case and expected complexity
performance of randomized algorithms to deterministic (non-random) algorithms. It states that, for certain classes of algorithms, and certain measures of
Yao's_principle
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
Subset of artificial intelligence
as hardware acceleration, approximate computing, and model optimization. Common optimization techniques include pruning, quantisation, knowledge distillation
Machine_learning
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
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
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
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
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
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
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
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
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
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
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
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
Model of quantum computing
In quantum information theory, a quantum circuit is a model for quantum computation, similar to classical circuits, in which a computation is a sequence
Quantum_circuit
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
Quantum computing applied to natural language processing
structure to quantum processes. The first quantum algorithm for natural language processing used the DisCoCat framework and Grover's algorithm to show a
Quantum natural language processing
Quantum_natural_language_processing
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
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
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
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
Quantum computing chip
necessary for running meaningful, large-scale quantum algorithms. To date, demonstrations have been limited to quantum memory and the preservation of logical
Willow_processor
open-source high-level quantum programming framework designed to simplify the implementation and development of quantum algorithms. Initially developed
Qrisp
US information technology company
ion quantum computers and accompanying software to generate, optimize, and execute quantum circuits. IonQ was co-founded by Christopher Monroe, at the
IonQ
Cryptography based on quantum mechanical phenomena
Quantum cryptography is the exploiting of quantum-mechanical properties such as quantum entanglement, measurement disturbance, no-cloning theorem, and
Quantum_cryptography
Horowitz – Fundamentals of Computer Algorithms Henry S. Warren, Jr. – Hacker's Delight Niklaus Wirth – Algorithms + Data Structures = Programs and Systematic
List_of_computer_books
Search algorithm
its predecessor, it belongs to the branch and bound class of algorithms. The optimization reduces the effective depth to slightly more than half that of
Alpha–beta_pruning
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
Iterative method for finding maximum likelihood estimates in statistical models
parameters. EM algorithms can be used for solving joint state and parameter estimation problems. Filtering and smoothing EM algorithms arise by repeating
Expectation–maximization algorithm
Expectation–maximization_algorithm
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
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
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
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€.
Girl/Female
Biblical
Fourth.
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
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).
Biblical
fourth
Boy/Male
Latin Biblical
Born fourth.
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).
Boy/Male
Hindu, Indian
Calm
Male
English
English surname transferred to forename use, derived from the Norman baronial name Cuinchy, a derivative of Roman Quintus, QUINCY means "fifth."
Boy/Male
Danish, Finnish, French, German, Latin, Shakespearean, Swedish
Born Fifth
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
Boy/Male
African
the crown needs honour'.
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Telugu
Love; Affection; Ture; Motherly Love; Pure
Girl/Female
Danish, Finnish, German, Swedish
Blessed; Pure; Torture
Girl/Female
African, Hindu, Indian
Spiritual
Girl/Female
American, Australian, German
Brings Victory
Girl/Female
Hindu, Indian
She who is without Agitation
Boy/Male
Gaelic, German, Irish
Powerful Ruler; Strong Power; Form of Richard
Boy/Male
Indian
Lord Krishna
Boy/Male
Bengali, Hindu, Indian, Marathi, Sanskrit, Sindhi, Tamil, Telugu
The Sun
Boy/Male
Celtic American Arthurian Legend English
Brave; Virtuous.
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
QUANTUM OPTIMIZATION-ALGORITHMS
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.
n.
Part or proportion; quota.
n.
A quantic of the fourth degree. See Quantic.
n.
A quantic of the sixth degree.
n.
A quantic of the fifth degree. See Quantic.
n.
One of the variables of a quantic as distinguished from a coefficient.
a.
Of, pertaining to, or in the manner of, the Roman general, Quintus Fabius Maximus Verrucosus; cautious; dilatory; avoiding a decisive contest.
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 punting pole with a broad flange near the end to prevent it from sinking into the mud; a setting pole.
n.
A definite portion of a manifoldness, limited by a mark or by a boundary.
pl.
of Quantum
n.
A quantic of the seventh degree.
n.
Quantity; amount.
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.
The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc.
n.
A quantic of the eighth degree.
n.
A quantic of the second degree. See Quantic.