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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
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
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 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
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
biological systems Quantum counting algorithm: estimates the number of marked items in a search space Quantum Fourier transform: quantum analogue of the
List_of_algorithms
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 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
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
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
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
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
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
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
approaches quantum computing through the model of quantum circuits, it is focused more on quantum algorithms than on the construction of quantum computers
Quantum Computing: A Gentle Introduction
Quantum_Computing:_A_Gentle_Introduction
Canadian computer scientist (born 1955)
in quantum cryptography, quantum teleportation, quantum entanglement distillation, quantum pseudo-telepathy, and the classical simulation of quantum entanglement
Gilles_Brassard
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
Computational benchmark
that can be solved by that quantum computer and has a superpolynomial speedup over the best known or possible classical algorithm for that task. Examples
Quantum_supremacy
Algorithm that arranges lists in order
4427n+O(\log {n})} comparisons. Algorithms not based on comparisons, such as counting sort, can have better performance. Sorting algorithms are prevalent in introductory
Sorting_algorithm
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 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
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
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 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
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
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
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
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
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
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
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
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
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
Sorting algorithms for quantum computers
A quantum sort is any sorting algorithm that runs on a quantum computer. Any comparison-based quantum sorting algorithm would take at least Ω ( n log
Quantum_sort
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 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
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
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
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
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
Metric for a quantum computer's capabilities
reliable Quantum Operations per Second (rQOPS) proposed by Microsoft, Circuit Layer Operations Per Second (CLOPS) proposed by IBM and Algorithmic qubits
Quantum_volume
Approach to public-key cryptography
concerns about quantum computing attacks on ECC. NSA later published CNSA 2.0 guidance for a transition to quantum-resistant algorithms for national security
Elliptic-curve_cryptography
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
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
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
Interdisciplinary theory behind quantum computing
frameworks, designing quantum algorithms, constructing quantum hardware, and implementing quantum communication protocols. Quantum teleportation, entanglement
Quantum_information_science
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
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
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
Overview of and topical guide to algorithms
algorithm — algorithm designed for distributed systems Streaming algorithm — algorithm for processing data streams with limited memory Quantum algorithm — algorithm
Outline_of_algorithms
Proposed spin-based quantum computer implementation
implementation of Shor's algorithm in a 7-qubit NMR quantum computer. However, even from the early days, it was recognized that NMR quantum computers would never
Nuclear magnetic resonance quantum computer
Nuclear_magnetic_resonance_quantum_computer
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
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
Discrete Fourier transform algorithm
certain Markov processes, robotics etc. Quantum FFTs Shor's fast algorithm for integer factorization on a quantum computer has a subroutine to compute DFT
Fast_Fourier_transform
Computing company founded in 2014
cryptographic keys to support traditional algorithms, such as RSA and AES, as well as post-quantum cryptography algorithms. Quantum Origin is said to be the first
Quantinuum
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
Amount of resources to perform an algorithm
requirements of algorithms, that is, the basic time constraints an algorithm would place on any computer. This is achieved by counting the number of elementary
Computational_complexity
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
Quantum computing protocol
learning algorithms for a wide range of quantum many-body problems. For example, machine learning models could learn to solve ground states of quantum many-body
Classical_shadow
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
Process in quantum computing
Quantum error correction (QEC) comprises a set of techniques used in quantum memory and quantum computing to protect quantum information from errors arising
Quantum_error_correction
Algorithm that employs a degree of randomness as part of its logic or procedure
Approximate counting algorithm Atlantic City algorithm Bogosort Count–min sketch HyperLogLog Karger's algorithm Las Vegas algorithm Monte Carlo algorithm Principle
Randomized_algorithm
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
Property of computational resources needed
In quantum information theory, magic is a property that quantifies the computational resources needed to describe quantum states beyond stabilizer states
Magic_(quantum_information)
Basic unit of quantum information
In quantum computing, a qubit (/ˈkjuːbɪt/) or quantum bit is a basic unit of quantum information, the quantum version of the classic binary bit. A qubit
Qubit
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
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
Physical phenomenon
Quantum teleportation is a technique for transferring quantum information from a sender at one location to a receiver some distance away. While teleportation
Quantum_teleportation
Cryptographic device
a pseudorandom number generator (PRNG) that utilizes a deterministic algorithm and non-physical nondeterministic random bit generators that do not include
Hardware random number generator
Hardware_random_number_generator
Proposed quantum computer implementation
A trapped-ion quantum computer (TIQC) is one proposed approach to a large-scale quantum computer. Ions, or charged atomic particles, can be confined and
Trapped-ion_quantum_computer
Algorithm using holographic reduction
= #P. Holographic algorithms have some similarities with quantum computation, but are completely classical. Holographic algorithms exist in the context
Holographic_algorithm
Spanish theoretical physicist, author, and academic
construction of the Prime state using the Gover algorithm that combined with the quantum counting algorithm allows for a verification of the Riemann hypothesis
Germán_Sierra
Family of algorithms used in procedural generation
but functionally similar algorithms& concepts; Texture Synthesis (Specifically Discrete Synthesis), Markov Chains & Quantum Mechanics. WFC was also additionally
Model_synthesis
Theorem of quantum circuits
important types of quantum algorithms use only Clifford gates, including the standard algorithms for entanglement distillation and quantum error correction
Gottesman–Knill_theorem
Continuous (non-quantized) quantities in quantum information science
to quantum computing, it is important to know whether a task under consideration can be carried out efficiently by a classical computer. An algorithm might
Continuous-variable quantum information
Continuous-variable_quantum_information
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
Task of computing complete subgraphs
and quantum decision tree complexity of a property, the expected number of questions (for a worst case input) that a randomized or quantum algorithm needs
Clique_problem
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
Forecasting rules for quantum computing
causes the state to decay, losing quantum information. Extending coherence is critical for running complex quantum algorithms reliably. Named after Robert
Quantum computing scaling laws
Quantum_computing_scaling_laws
Algorithm for computing greatest common divisors
In mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers
Euclidean_algorithm
Simulators of quantum mechanical systems
Quantum simulators permit the study of a quantum system in a programmable fashion. In this instance, simulators are special purpose devices designed to
Quantum_simulator
Method of quantum computing
resource. Quantum gate teleportation Continuous-variable quantum information Quantum algorithm Quantum logic gate Linear optical quantum computing Quantum optics
One-way_quantum_computer
Problem a computer might be able to solve
is a prime factor of n. A counting problem asks for the number of solutions to a given search problem. For example, a counting problem associated with factoring
Computational_problem
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
Foundational object in quantum communication theory
In quantum information theory, a quantum channel is a communication channel that can transmit quantum information, as well as classical information. An
Quantum_channel
Intermediate representation for quantum instructions
Open Quantum Assembly Language (OpenQASM; pronounced open kazm) is a programming language designed for describing quantum circuits and algorithms for execution
OpenQASM
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
Type of computational problem
And in general, the counting problem corresponding to a decision problem X is called #X, where # is the number sign. Counting complexity techniques
Counting_problem_(complexity)
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
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
Quantum key distribution protocol
prepare-and-measure quantum key distribution (QKD) protocol, in which, one party (e.g. Alice) performs the encoding by preparing the quantum states, and the
BB84
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
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
Unsolved problem in computer science
{2}{3}}\right)\right)} to factor an n-bit integer. The best known quantum algorithm for this problem, Shor's algorithm, runs in polynomial time, although this does not
P_versus_NP_problem
Programming language for quantum algorithms
language used for expressing quantum algorithms. It was initially released to the public by Microsoft as part of the Quantum Development Kit. Q# works in
Q_Sharp
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
Computer science
time. It is the quantum analogue of the complexity class P. This is in contrast to bounded-error quantum computing, where quantum algorithms are expected
Exact_quantum_polynomial_time
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
first asymmetric encryption algorithm to use randomization in the encryption process. 1981 – Richard Feynman proposed quantum computers. The main application
Timeline_of_cryptography
Property of states in quantum mechanics
In physics, in the area of quantum information theory and quantum computation, quantum steering is a special kind of nonlocal correlation, which is intermediate
Quantum_steering
QUANTUM COUNTING-ALGORITHM
QUANTUM COUNTING-ALGORITHM
Surname or Lastname
English (southern counties)
English (southern counties) : nickname from Middle English ferette, fyrette ‘ferret’, literally ‘little thief’ (Old French fuiret, furet).
Surname or Lastname
English (southern counties)
English (southern counties) : apparently a variant of Hapgood.
Surname or Lastname
English (northeastern counties)
English (northeastern counties) : unexplained. Compare Hedgepeth.
Surname or Lastname
English (mainly northeastern counties)
English (mainly northeastern counties) : variant of Latham.
Surname or Lastname
English (southern counties)
English (southern counties) : from Middle English woderson ‘son of the woodman’.
Surname or Lastname
English (southern counties)
English (southern counties) : unexplained.German : patronymic form of Old 2.
Surname or Lastname
English
English : nickname from some fancied resemblance to the songbird (Emberiza spp.).German : patronymic from an unexplained Frisian-Lower Saxon personal name, or a derivative of Bunt- (see Bunten).Sarah Bunting (1686–1762), born in Matlock, Derbyshire, became a noted Quaker minister in Cross Wicks, NJ. It is believed but not certain that other members of her family, including her father, John Bunting, came with her to NJ sometime before 1704, when her marriage to William Murfin is recorded.
Boy/Male
Latin Biblical
Born fourth.
Boy/Male
Hindu, Indian
Calm
Biblical
fourth
Surname or Lastname
English
English : patronymic from a short form of the personal name Cudbert (see Cuthbert).Americanized spelling of German Kötting or the variant Kotting (see Koetting).
Surname or Lastname
English
English : variant spelling of Countess.
Girl/Female
Biblical
Fourth.
Boy/Male
Hindu, Indian
Counting
Surname or Lastname
English (eastern counties)
English (eastern counties) : unexplained.
Boy/Male
Danish, Finnish, French, German, Latin, Shakespearean, Swedish
Born Fifth
Surname or Lastname
English (eastern counties)
English (eastern counties) : unexplained. Possibly a variant of Masset (see Massett).
Surname or Lastname
English (eastern counties)
English (eastern counties) : apparently a variant of German.
Surname or Lastname
English
English : occupational name from Old English hunting, a derivative of huntian ‘to hunt’.
Surname or Lastname
English (southern counties)
English (southern counties) : from a Middle English personal name, a pet form of Peter. Compare Parrott.
QUANTUM COUNTING-ALGORITHM
QUANTUM COUNTING-ALGORITHM
Girl/Female
Arabic, Hebrew
Stone
Girl/Female
Norse Teutonic
Daughter of Sigurd.
Girl/Female
Hindu
Dream
Boy/Male
Indian, Punjabi, Sikh
Famous and Brave
Girl/Female
Hindu, Indian
Gift of Sun
Boy/Male
Muslim
Heart of Love in the sea
Girl/Female
Australian, British, Celtic, Danish, English, German, Italian, Latin
Woman of Venice
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Kuber
Girl/Female
Indian
Beautiful, Virtuous, Venerated
Boy/Male
Shakespearean
King Richard The Second' A favorite of King Richard.
QUANTUM COUNTING-ALGORITHM
QUANTUM COUNTING-ALGORITHM
QUANTUM COUNTING-ALGORITHM
QUANTUM COUNTING-ALGORITHM
QUANTUM COUNTING-ALGORITHM
n.
Any place or part of the ocean, or other water, where a sounding line will reach the bottom; -- usually in the plural.
p. pr. & vb. n.
of Count
pl.
of Quantum
a.
Making or emitting sound; hence, sonorous; as, sounding words.
a.
Speaking in a whining tone of voice; using technical or religious terms affectedly; affectedly pious; as, a canting rogue; a canting tone.
n.
A device or contrivance which serves to couple or connect adjacent parts or objects; as, a belt coupling, which connects the ends of a belt; a car coupling, which connects the cars in a train; a shaft coupling, which connects the ends of shafts.
n.
A definite portion of a manifoldness, limited by a mark or by a boundary.
a.
Pompous; noisy; ostentatious; as, high-sounding words or titles.
n.
A quantic of the second degree. See Quantic.
n.
A sailing along a coast, or from port to port; a carrying on a coasting trade.
n.
The sand, shells, or the like, that are brought up by the sounding lead when it has touched bottom.
n.
measurement by sounding; also, the depth so ascertained.
n.
A coat or covering; a layer of any substance, as a cover or protection; as, the coating of a retort or vial.
n.
A quantic of the fifth degree. See Quantic.
n.
A punting pole with a broad flange near the end to prevent it from sinking into the mud; a setting pole.
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.
That by which anything is prepared for use, or set off to advantage; equipment; embellishment; setting; as, the mounting of a sword or diamond.
n.
Quantity; amount.
n.
A quantic of the fourth degree. See Quantic.