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Algorithm to be run on quantum computers
In quantum computing, a quantum algorithm is an algorithm that runs on a realistic model of quantum computation, the most commonly used model being the
Quantum_algorithm
Quantum algorithm for integer factorization
Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor
Shor's_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 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
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
Computer hardware technology that uses quantum mechanics
result. The design of quantum algorithms involves creating procedures that allow a quantum computer to perform this amplification. Quantum computers are not
Quantum_computing
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
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
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 for eigenvalue estimation
In quantum computing, the quantum phase estimation algorithm is a quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary
Quantum phase estimation algorithm
Quantum_phase_estimation_algorithm
Sequence of operations for a task
their value. Quantum algorithm Quantum algorithms run on a realistic model of quantum computation. The term is usually used for those algorithms that seem
Algorithm
Computational benchmark
quantum computer and has a superpolynomial speedup over the best known or possible classical algorithm for that task. A notable property of quantum supremacy
Quantum_supremacy
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
Quantum physics-based metaheuristic for optimization problems
term "quantum annealing" was first proposed in 1988 by B. Apolloni, N. Cesa Bianchi and D. De Falco as a quantum-inspired classical algorithm. It was
Quantum_annealing
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
several quantum algorithms Quantum optimization algorithms: family of quantum algorithms for optimization problems Quantum phase estimation algorithm: estimates
List_of_algorithms
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
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
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
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
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
Problem in computer science
computer. The quantum algorithm solving Simon's problem, usually called Simon's algorithm, served as the inspiration for Shor's algorithm. Both problems
Simon's_problem
Experimental technology level
two quantum processors have over 1,000 qubits, with sub-1,000 quantum processors still remaining the norm. NISQ algorithms are quantum algorithms designed
Noisy intermediate-scale quantum computing
Noisy_intermediate-scale_quantum_computing
Computational complexity of quantum algorithms
simulate quantum computation models in polynomial time. Asymptotic computational complexities of both quantum algorithms and classical algorithms are often
Quantum_complexity_theory
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
Quantum algorithm framework
Quantum singular value transformation is a framework for designing quantum algorithms. It encompasses a variety of quantum algorithms for problems that
Quantum singular value transformation
Quantum_singular_value_transformation
Set of cryptographic algorithms by the NSA
the Digital Signature Algorithm. This, and the overall delivery and timing of the announcement, in the absence of post-quantum standards, raised considerable
Commercial National Security Algorithm Suite
Commercial_National_Security_Algorithm_Suite
Interdisciplinary theory behind quantum computing
frameworks, designing quantum algorithms, constructing quantum hardware, and implementing quantum communication protocols. Quantum teleportation, entanglement
Quantum_information_science
Information held in the state of a quantum system
the advent of quantum computing, which uses quantum mechanics to design algorithms. At this point, quantum computers showed promise of being much faster
Quantum_information
American mathematician
scientist known for his work on quantum computation, in particular for devising Shor's algorithm, a quantum algorithm for factoring exponentially faster
Peter_Shor
Computer simulation of chemical systems
methods in quantum chemistry, the section below lists only a few examples. Qubitization is a mathematical and algorithmic concept in quantum computing
Quantum computational chemistry
Quantum_computational_chemistry
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
the deterministic Deutsch–Jozsa algorithm on a quantum computer, but for which no deterministic classical algorithm is possible. This was perhaps the
Timeline of quantum computing and communication
Timeline_of_quantum_computing_and_communication
Quantum variations of random walks
NAND trees. The well-known Grover search algorithm can also be viewed as a quantum walk algorithm. Quantum walks exhibit very different features from
Quantum_walk
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
American computer scientist (born 2000)
for her work developing classical algorithms which matched the performance of the fastest known quantum algorithms, done as an undergraduate under the
Ewin_Tang
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
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
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
decision problem is a member of BQP if there exists a quantum algorithm (an algorithm that runs on a quantum computer) that solves the decision problem with
Glossary_of_quantum_computing
Project by NIST to standardize post-quantum cryptography
possibility of quantum technology to render the commonly used RSA algorithm insecure by 2030. As a result, a need to standardize quantum-secure cryptographic
NIST Post-Quantum Cryptography Standardization
NIST_Post-Quantum_Cryptography_Standardization
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
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
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
Quantum Computing Division/Software
quantum algorithm development and simulation. The Azure Quantum Resource Estimator estimates resources required to execute a given quantum algorithm on
Microsoft_Azure_Quantum
Remote quantum processors for computation
execute quantum algorithms without the need for direct interaction with specialized hardware, facilitating broader participation in quantum software
Cloud-based_quantum_computing
American quantum computing company
fault-tolerant quantum algorithm development, and broke ground on its site at the Illinois Quantum and Microelectronics Park. In 2026, PsiQuantum announced
PsiQuantum
Process of converting plaintext to ciphertext
between weeks to months to factor in this key. However, quantum computing can use quantum algorithms to factor this semiprime number in the same amount of
Encryption
Quantum algorithm
the context of quantum computing, the quantum walk search (sometimes regarded as QFS, similar to DFS and BFS) is a quantum algorithm for finding a marked
Quantum_walk_search
Cryptographic key management algorithm
cryptography, the Double Ratchet Algorithm (previously referred to as the Axolotl Ratchet) is a key management algorithm that was developed by Trevor Perrin
Double_Ratchet_Algorithm
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
Computing company founded in 2014
a quantum computing company formed by the merger of Cambridge Quantum and Honeywell Quantum Solutions. The company's H-Series trapped-ion quantum computers
Quantinuum
Quantum computing implementation
properties of other quantum systems. In the 1990s, two quantum algorithms were published, which further stirred interest in realizing quantum computers. Peter
Superconducting quantum computing
Superconducting_quantum_computing
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
the quantum algorithm outperforms any (classical) randomized algorithms in both worst and average cases. Lyndon word Knuth–Morris–Pratt algorithm Wang
Lexicographically minimal string rotation
Lexicographically_minimal_string_rotation
Projected date when quantum computers could break modern encryption
in a human lifetime, not in many of them. Shor's algorithm, on a large enough fault-tolerant quantum computer, would do both in polynomial time and leave
Quantum_Threat
Types of quantum information
classical bits for some tasks. Qubits are used in quantum circuits and quantum algorithms composed of quantum logic gates to solve computational problems,
Physical_and_logical_qubits
Algorithmic Qubits (AQ) are an application based benchmark of quantum computers. Introduced by IonQ in 2020, the goal was to define a "single number figure
Algorithmic_qubits
Involutive change of basis in linear algebra
Prakash Vedula (2024). "An efficient quantum algorithm for preparation of uniform quantum superposition states". Quantum Information Processing. 23:38 (1):
Hadamard_transform
Australian quantum computing company
precision in 2022. Grover's algorithm is one of the two foundational quantum algorithms (alongside Shor's algorithm). Grover's algorithm runs quadratically faster
Silicon_Quantum_Computing
Subfield of econophysics which applies quantum theory to finance
treated like a quantum boson particle instead of a classical particle. Patrick Rebentrost showed in 2018 that an algorithm exists for quantum computers capable
Quantum_finance
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
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
British theoretical physicist (born 1953)
of quantum computation by formulating a description for a quantum Turing machine, as well as specifying an algorithm designed to run on a quantum computer
David_Deutsch
Number of bits in a key used by a cryptographic algorithm
a quantum computer capable of running Grover's algorithm would be able to search the possible keys more efficiently. If a suitably sized quantum computer
Key_size
Criteria for a usable quantum computer
implement quantum algorithm successfully such as Grover's search algorithm or Shor factorization. The first five conditions regard quantum computation
DiVincenzo's_criteria
List of academic journals related to quantum computing
as quantum algorithms, quantum information theory, quantum cryptography, and quantum hardware. ACM Transactions on Quantum Computing Advanced Quantum Technologies
List of quantum computing journals
List_of_quantum_computing_journals
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
Cryptography practises of the USA's National Security Agency
"NSA recommendations | algorithms to use until PQC". www.johndcook.com. Retrieved 2020-02-28. "NSA preps quantum-resistant algorithms to head off crypto-apocalypse"
NSA_cryptography
Quantum computing technique
technique in quantum computing that generalizes the idea behind Grover's search algorithm, and gives rise to a family of quantum algorithms. It was discovered
Amplitude_amplification
Technique in quantum computation
The Hadamard test has many applications in quantum algorithms such as the Aharonov-Jones-Landau algorithm. Via a very simple modification it can be used
Hadamard_test
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
Concept in quantum information theory
In quantum information theory, quantum state purification refers to the process of representing a mixed state as a pure quantum state of higher-dimensional
Quantum_state_purification
List of software for quantum computing
in quantum computing. Quantum software is used to design quantum algorithms, create and manipulate quantum circuits, compile programs for quantum processors
List_of_quantum_software
Index of articles associated with the same name
of the proof Quantum complexity theory#Quantum query complexity, the number of queries needed to solve a problem using a quantum algorithm Query complexity
Query_complexity
Surveillance strategy
migrating toward quantum-cryptography-resistant algorithms to mitigate these threats. This new version of Commercial National Security Algorithm Suite uses
Harvest_now,_decrypt_later
Search algorithm finding the position of a target value within a sorted array
_{2}n} queries in the worst case. In comparison, Grover's algorithm is the optimal quantum algorithm for searching an unordered list of elements, and it requires
Binary_search
Problem in quantum information science
to as quantum simulation) is a problem in quantum information science that attempts to find the computational complexity and quantum algorithms needed
Hamiltonian_simulation
Probabilistic algorithms to simulate quantum many-body systems
static properties and numerically exact exponentially scaling quantum Monte Carlo algorithms, but none that are both. In principle, any physical system can
Quantum_Monte_Carlo
Quantum algorithm in computer science
In computer science, the Aharonov–Jones–Landau (AJL) algorithm is an efficient quantum algorithm for obtaining an additive approximation of the Jones
Aharonov–Jones–Landau algorithm
Aharonov–Jones–Landau_algorithm
Algorithm
to do. Most modern symmetric-key algorithms appear to be resistant to the threat of post-quantum cryptography. Quantum computers would exponentially increase
Symmetric-key_algorithm
Restricted model of non-universal quantum computation
with n photons and m output modes. This algorithm leads to an estimate of 50 photons required to demonstrate quantum supremacy with boson sampling. There
Boson_sampling
Problem in computer science
In quantum computing, the hidden shift problem is a type of oracle-based problem. Various versions of this problem have quantum algorithms which can run
Hidden_shift_problem
Networks connecting quantum processors
Quantum networks form an important element of quantum computing and quantum communication systems. Quantum networks facilitate the transmission of information
Quantum_network
generator Quantum algorithm Random-restart hill climbing Randomized algorithm Running time Sorting algorithm Search algorithm Stable algorithm (disambiguation)
List of algorithm general topics
List_of_algorithm_general_topics
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
open-source high-level quantum programming framework designed to simplify the implementation and development of quantum algorithms. Initially developed
Qrisp
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
Simulation of biological behavior
Quantum artificial life is the application of quantum algorithms with the ability to simulate biological behavior. Quantum computers offer many potential
Quantum_artificial_life
German scientist
the first verifiable quantum advantage utilizing the "Quantum Echoes" algorithm. Executed on the Willow processor, the algorithm computes Out-of-Time-Ordered
Hartmut_Neven
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
Estimate of time taken for running an algorithm
takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that
Time_complexity
Cryptographic primitives that involve lattices
using Shor's algorithm on a quantum computer—some lattice-based constructions appear to be resistant to attack by both classical and quantum computers.
Lattice-based_cryptography
Natural number
tetrahedral number. the smallest number that can be factorized using Shor's quantum algorithm. the magic constant of the unique order-3 normal magic square. the
15_(number)
Processing quantum-encoded images
1997 focused on using a quantum system to recognize orthogonal images. This was followed by efforts using quantum algorithms to search specific patterns
Quantum_image_processing
Algorithm in quantum information theory
information theory. The cooling itself is done in an algorithmic manner using ordinary quantum operations. The input is a set of qubits, and the output
Algorithmic_cooling
Classification of quantum processors
in quantum information. It is likely that advances at both the hardware and algorithm level are necessary for the transition to occur. When quantum computers
Fault tolerant quantum computing
Fault_tolerant_quantum_computing
Quantum computing algorithm
universal for quantum computation, magic states combined with Clifford gates are also universal. The first magic state distillation algorithm, invented by
Magic_state_distillation
Feynman's algorithm is an algorithm that is used to simulate the operations of a quantum computer on a classical computer. It is based on the Path integral
Feynman's_algorithm
Type of Diophantine equation
quantum computer can find a product representation, as described above, for the solution to Pell's equation in polynomial time. Hallgren's algorithm,
Pell's_equation
QUANTUM ALGORITHM
QUANTUM ALGORITHM
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).
Boy/Male
Danish, Finnish, French, German, Latin, Shakespearean, Swedish
Born 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.
Male
English
English surname transferred to forename use, derived from the Norman baronial name Cuinchy, a derivative of Roman Quintus, QUINCY means "fifth."
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€.
Boy/Male
Hindu, Indian
Calm
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).
Girl/Female
Biblical
Fourth.
QUANTUM ALGORITHM
QUANTUM ALGORITHM
Surname or Lastname
English
English : from Middle English schak(k)en ‘to brandish’ + speer ‘spear’, nickname for a belligerent person or perhaps a bawdy nickname for an exhibitionist or womanizer.
Girl/Female
Hindu
Sai
Boy/Male
Indian, Tamil
Sun
Boy/Male
Tamil
Deed, Action
Boy/Male
Arabic, Muslim, Sindhi
Brilliant
Boy/Male
Muslim
Famous
Boy/Male
American, British, English, Latin
Dark-skinned; Moorish
Boy/Male
Scottish
From the narrow glen.
Boy/Male
Bengali, Hindu, Indian, Marathi
Lord Shiva
Girl/Female
Australian, Danish, German, Swedish
God is Merciful
QUANTUM ALGORITHM
QUANTUM ALGORITHM
QUANTUM ALGORITHM
QUANTUM ALGORITHM
QUANTUM ALGORITHM
n.
A quantic of the fourth degree. See Quantic.
pl.
of Quantum
n.
A quantic of the eighth degree.
n.
Alt. of Algorithm
n.
A quantic of the second degree. See Quantic.
n.
A definite portion of a manifoldness, limited by a mark or by a boundary.
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 quantic of the sixth degree.
n.
The art of calculating by nine figures and zero.
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.
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.
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 seventh degree.
n.
The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc.
n.
One of the variables of a quantic as distinguished from a coefficient.
n.
A quantic of the fifth degree. See Quantic.
n.
Quantity; amount.
n.
Part or proportion; quota.