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QUANTUM CONVOLUTIONAL-CODE

  • Quantum convolutional code
  • Type of code in quantum computing

    modern codes do have lower complexity. Quantum convolutional coding theory offers a different paradigm for coding quantum information. The convolutional structure

    Quantum convolutional code

    Quantum_convolutional_code

  • Convolutional code
  • Type of error-correcting code using convolution

    the 'convolution' of the encoder over the data, which gives rise to the term 'convolutional coding'. The sliding nature of the convolutional codes facilitates

    Convolutional code

    Convolutional_code

  • Quantum error correction
  • Process in quantum computing

    Synchronizable, and Convolutional Codes. Springer Nature. Frank Gaitan (2008). Quantum Error Correction and Fault Tolerant Quantum Computing. Taylor &

    Quantum error correction

    Quantum_error_correction

  • Convolutional neural network
  • Type of feedforward neural network

    processing, standard convolutional layers can be replaced by depthwise separable convolutional layers, which are based on a depthwise convolution followed by a

    Convolutional neural network

    Convolutional_neural_network

  • Post-quantum cryptography
  • Cryptography secured against quantum computers

    Post-quantum cryptography (PQC), sometimes referred to as quantum-proof, quantum-safe, or quantum-resistant, is the development of cryptographic algorithms

    Post-quantum cryptography

    Post-quantum_cryptography

  • Low-density parity-check code
  • Linear error correcting code

    beat convolutional turbo codes as the forward error correction (FEC) system for the ITU-T G.hn standard. G.hn chose LDPC codes over turbo codes because

    Low-density parity-check code

    Low-density_parity-check_code

  • Convolution
  • Integral expressing the amount of overlap of one function as it is shifted over another

    Hardware Cost of a Convolutional Neural Network". Neurocomputing. 407: 439–453. doi:10.1016/j.neucom.2020.04.018. S2CID 219470398. Convolutional neural networks

    Convolution

    Convolution

    Convolution

  • Surface code
  • Topological quantum error correcting code

    The surface code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. The first

    Surface code

    Surface_code

  • Quantum machine learning
  • Interdisciplinary research area

    up the quantum convolutional filter are: the encoder, the parameterized quantum circuit (PQC), and the measurement. The quantum convolutional filter can

    Quantum machine learning

    Quantum machine learning

    Quantum_machine_learning

  • Quantum computing
  • Computer hardware technology that uses quantum mechanics

    A quantum computer is a computer that represents and processes information using quantum states. Quantum computations exploit phenomena such as superposition

    Quantum computing

    Quantum computing

    Quantum_computing

  • Shor code
  • Code used in quantum error correction

    In quantum computing, the Shor code or Shor nine qubit code is a foundational code in quantum error correction that protects quantum information against

    Shor code

    Shor code

    Shor_code

  • Magic (quantum information)
  • Property of computational resources needed

    also play a role in models of quantum gravity and holography. In holographic quantum error-correcting codes, stabilizer-code models reproduce some qualitative

    Magic (quantum information)

    Magic_(quantum_information)

  • Convolutional layer
  • Neural network technology

    neural networks, a convolutional layer is a type of network layer that applies a convolution operation to the input. Convolutional layers are some of

    Convolutional layer

    Convolutional_layer

  • Error correction code
  • Scheme for controlling errors in data over noisy communication channels

    GPS etc. Berger code Constant-weight code Convolutional code Expander codes Group codes Golay codes, of which the Binary Golay code is of practical interest

    Error correction code

    Error_correction_code

  • Coding theory
  • Study of the properties of codes and their fitness

    codes:[citation needed] Linear block codes Convolutional codes It analyzes the following three properties of a code – mainly:[citation needed] Code word

    Coding theory

    Coding theory

    Coding_theory

  • Quantum key distribution
  • Secure communication method

    Quantum key distribution (QKD) is a secure communication method that implements a cryptographic protocol based on the laws of quantum mechanics, specifically

    Quantum key distribution

    Quantum key distribution

    Quantum_key_distribution

  • Stabilizer code
  • Quantum error correction code

    In quantum computing and quantum communication, a stabilizer code is a class of quantum codes for performing quantum error correction. The toric code, and

    Stabilizer code

    Stabilizer_code

  • Quantum threat
  • Projected date when quantum computers could break modern encryption

    (also Q Day and sometimes as Y2Q) or simply the quantum threat refers to the theoretical date when quantum computers have reached the point where they can

    Quantum threat

    Quantum_threat

  • Timeline of quantum computing and communication
  • 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

    Timeline_of_quantum_computing_and_communication

  • IBM Quantum Platform
  • Cloud quantum computing platform

    interact with a quantum processor through the quantum circuit model of computation, typically through code written in Qiskit. This code can be compiled

    IBM Quantum Platform

    IBM_Quantum_Platform

  • Gottesman–Kitaev–Preskill code
  • Quantum error correcting code

    Gottesman–Kitaev–Preskill (GKP) code is a quantum error correcting code that encodes logical qubits into the continuous degrees of freedom of a quantum system. It is named

    Gottesman–Kitaev–Preskill code

    Gottesman–Kitaev–Preskill_code

  • Quantum teleportation
  • Physical phenomenon

    Superdense coding Quantum complex network Quantum mechanics Introduction to quantum mechanics Quantum computer Quantum cryptography Quantum nonlocality

    Quantum teleportation

    Quantum teleportation

    Quantum_teleportation

  • Hadamard transform
  • Involutive change of basis in linear algebra

    Ahmet Enis Cetin (2023). A Hybrid Quantum-Classical Approach based on the Hadamard Transform for the Convolutional Layer. International Conference on

    Hadamard transform

    Hadamard transform

    Hadamard_transform

  • One-way quantum computer
  • Method of quantum computing

    The one-way quantum computer, also known as measurement-based quantum computer (MBQC), is a method of quantum computing that first prepares an entangled

    One-way quantum computer

    One-way quantum computer

    One-way_quantum_computer

  • Quantum cryptography
  • 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

    Quantum_cryptography

  • Quantum circuit
  • 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

    Quantum circuit

    Quantum_circuit

  • Shor'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

    Shor's_algorithm

  • Quantum supremacy
  • 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

    Quantum_supremacy

  • CSS code
  • Class of quantum error correcting codes

    In quantum error correction, Calderbank–Shor–Steane (CSS) codes, named after their inventors, Robert Calderbank, Peter Shor and Andrew Steane, are a special

    CSS code

    CSS_code

  • Qubit
  • 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

    Qubit

    Qubit

  • Reed–Solomon error correction
  • Error-correcting codes

    (BCH) codes. For example, Reed–Solomon codes are used in the Digital Video Broadcasting (DVB) standard DVB-S, in conjunction with a convolutional inner

    Reed–Solomon error correction

    Reed–Solomon_error_correction

  • Quantum 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_algorithm

  • List of algebraic coding theory topics
  • code Convolutional code Cross R-S code Cryptographic hash function Cyclic redundancy check Damm algorithm Dual code EXIT chart Error-correcting code Enumerator

    List of algebraic coding theory topics

    List_of_algebraic_coding_theory_topics

  • Quantum programming
  • 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

    Quantum_programming

  • Superdense coding
  • Two-bit quantum communication protocol

    In quantum information theory, superdense coding (also referred to as dense coding) is a quantum communication protocol to communicate a number of classical

    Superdense coding

    Superdense coding

    Superdense_coding

  • Five-qubit error correcting code
  • Type of error correction in quantum computing

    five-qubit error correcting code, [[5,1,3]] code, or Laflamme–Miquel–Paz–Zurek code is the smallest quantum error correcting code that can protect a logical

    Five-qubit error correcting code

    Five-qubit_error_correcting_code

  • Quantum channel
  • 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

    Quantum_channel

  • Quantum information
  • Information held in the state of a quantum system

    Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information science, and can be manipulated

    Quantum information

    Quantum information

    Quantum_information

  • Noisy intermediate-scale quantum computing
  • Experimental technology level

    Noisy intermediate-scale quantum (NISQ) computing is characterized by quantum processors containing up to 1,000 qubits which are not advanced enough yet

    Noisy intermediate-scale quantum computing

    Noisy_intermediate-scale_quantum_computing

  • Grover'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

    Grover's_algorithm

  • Glossary of quantum computing
  • quantum computing is a list of definitions of terms and concepts used in quantum computing, its sub-disciplines, and related fields. Bacon–Shor code is

    Glossary of quantum computing

    Glossary_of_quantum_computing

  • Quantum optimization algorithms
  • Optimization algorithms using quantum computing

    Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems. Mathematical optimization deals with finding the

    Quantum optimization algorithms

    Quantum_optimization_algorithms

  • Entanglement swapping
  • Quantum mechanics idea

    In quantum mechanics, entanglement swapping is a protocol to transfer quantum entanglement from one pair of particles to another, even if the second pair

    Entanglement swapping

    Entanglement_swapping

  • Qutrit
  • Unit of quantum information

    A qutrit (or quantum trit) is a unit of quantum information that is realized by a 3-level quantum system (qudit with radix 3), that may be in a superposition

    Qutrit

    Qutrit

  • Quantum state discrimination
  • Quantum-informatics technique

    The term quantum state discrimination collectively refers to quantum-informatics techniques, with the help of which, by performing a small number of measurements

    Quantum state discrimination

    Quantum_state_discrimination

  • Superconducting quantum computing
  • Quantum computing implementation

    quantum computing is a branch of quantum computing and solid-state physics that implements superconducting electronic circuits as qubits in a quantum

    Superconducting quantum computing

    Superconducting quantum computing

    Superconducting_quantum_computing

  • Quantum energy teleportation
  • Aspect of quantum information science

    Quantum energy teleportation (QET) is an application of quantum information science. It is a variation of the quantum teleportation protocol. Quantum

    Quantum energy teleportation

    Quantum_energy_teleportation

  • Quantum logic gate
  • Basic circuit in quantum computing

    In quantum computing and specifically the quantum circuit model of computation, a quantum logic gate (or simply quantum gate) is a basic quantum circuit

    Quantum logic gate

    Quantum logic gate

    Quantum_logic_gate

  • Quantum neural network
  • Quantum Mechanics in Neural Networks

    Quantum neural networks (QNN) are computational neural network models which are based on the principles of quantum mechanics. The first ideas on quantum

    Quantum neural network

    Quantum neural network

    Quantum_neural_network

  • U-Net
  • Type of convolutional neural network

    U-Net is a convolutional neural network that was developed for image segmentation. The network is based on a fully convolutional neural network whose

    U-Net

    U-Net

  • Entanglement-assisted stabilizer formalism
  • Method in quantum communication

    M.; Brun, Todd A. (2010-06-08). "Quantum convolutional coding with shared entanglement: general structure". Quantum Information Processing. 9 (5). Springer

    Entanglement-assisted stabilizer formalism

    Entanglement-assisted_stabilizer_formalism

  • Illinois Quantum and Microelectronics Park
  • Planned quantum technology campus in Chicago

    focus on quantum computing. Its anchor tenant, PsiQuantum, makes hardware for AI data centers. Plans for the IQMP are part of the larger “Quantum Shore Chicago”

    Illinois Quantum and Microelectronics Park

    Illinois_Quantum_and_Microelectronics_Park

  • Quantum simulator
  • 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

    Quantum simulator

    Quantum_simulator

  • Bell's theorem
  • Theorem in physics

    number of closely related results in physics, all of which determine that quantum mechanics is incompatible with local hidden-variable theories, given some

    Bell's theorem

    Bell's_theorem

  • Neutral atom quantum computer
  • Type of quantum computer built out of Rydberg atoms

    neutral atom quantum computer is a type of quantum computer built using Rydberg atoms; this type has many commonalities with trapped-ion quantum computers

    Neutral atom quantum computer

    Neutral_atom_quantum_computer

  • Quantum Turing machine
  • Model of quantum computation

    A quantum Turing machine (QTM) or universal quantum computer is an abstract machine used to model the effects of a quantum computer. It provides a simple

    Quantum Turing machine

    Quantum_Turing_machine

  • Topological quantum computer
  • Type of quantum computer

    A topological quantum computer is a type of quantum computer. It utilizes anyons, a type of quasiparticle that occurs in two-dimensional systems. The

    Topological quantum computer

    Topological quantum computer

    Topological_quantum_computer

  • Trapped-ion quantum computer
  • 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

    Trapped-ion quantum computer

    Trapped-ion_quantum_computer

  • Quantum information science
  • Interdisciplinary theory behind quantum computing

    quantum communication Quantum communication complexity Quantum entanglement, as seen from an information-theoretic point of view Quantum dense coding

    Quantum information science

    Quantum_information_science

  • Schrödinger equation
  • Description of a quantum-mechanical system

    function of a non-relativistic quantum-mechanical system. Its discovery was a significant landmark in the development of quantum mechanics. It is named after

    Schrödinger equation

    Schrödinger_equation

  • Transmon
  • Superconducting qubit implementation

    In quantum computing, and more specifically in superconducting quantum computing, a transmon is a type of superconducting charge qubit designed to have

    Transmon

    Transmon

    Transmon

  • Quantum annealing
  • 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

    Quantum_annealing

  • Variational quantum eigensolver
  • 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

  • Magic state distillation
  • 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

    Magic_state_distillation

  • Linear optical quantum computing
  • Paradigm of quantum computer

    Linear optical quantum computing or linear optics quantum computation (LOQC), also photonic quantum computing (PQC), is a paradigm of quantum computation

    Linear optical quantum computing

    Linear_optical_quantum_computing

  • Adiabatic quantum computation
  • 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

    Adiabatic_quantum_computation

  • List of quantum processors
  • 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

    List_of_quantum_processors

  • Quantum network
  • 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

    Quantum network

    Quantum_network

  • Threshold theorem
  • Quantum error correction schemes can suppress the logical error rate arbitrarily low

    In quantum computing, the threshold theorem (or quantum fault-tolerance theorem) states that a quantum computer with a physical error rate below a certain

    Threshold theorem

    Threshold_theorem

  • QBism
  • Interpretation of quantum mechanics

    philosophy of physics, QBism (pronounced "cubism") is an interpretation of quantum mechanics that takes an agent's actions and experiences as the central

    QBism

    QBism

    QBism

  • Cloud-based quantum computing
  • Remote quantum processors for computation

    Cloud-based quantum computing refers to the remote access of quantum computing resources—such as quantum emulators, simulators, or processors—via the internet

    Cloud-based quantum computing

    Cloud-based_quantum_computing

  • Clifford gate
  • Definition of quantum circuits

    In quantum computing and quantum information theory, the Clifford gates are the elements of the Clifford group, a set of mathematical transformations

    Clifford gate

    Clifford_gate

  • Quantum phase estimation algorithm
  • 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

  • Quantum complexity theory
  • Computational complexity of quantum algorithms

    Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational

    Quantum complexity theory

    Quantum_complexity_theory

  • Circuit quantum electrodynamics
  • Means of studying the interaction of light and matter

    Circuit quantum electrodynamics (circuit QED) provides a means of studying the fundamental interaction between light and matter (quantum optics). As in

    Circuit quantum electrodynamics

    Circuit_quantum_electrodynamics

  • Entanglement distillation
  • Process of "purifying" entangled quantum states

    noisy quantum channel. Either classical or quantum information can be transmitted over a quantum channel by encoding the information in a quantum state

    Entanglement distillation

    Entanglement_distillation

  • Quantum memory
  • Quantum-mechanical version of computer memory

    In quantum computing, a quantum memory is the quantum-mechanical version of ordinary computer memory. Whereas ordinary memory stores information as binary

    Quantum memory

    Quantum_memory

  • Quantum Fourier transform
  • Change of basis applied in quantum computing

    In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier

    Quantum Fourier transform

    Quantum_Fourier_transform

  • Quantum counting algorithm
  • 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_counting_algorithm

  • Steane code
  • Code for quantum correction

    The Steane code is a tool in quantum error correction introduced by Andrew Steane in 1996. It is a CSS code (Calderbank-Shor-Steane), using the classical

    Steane code

    Steane_code

  • List of quantum key distribution protocols
  • Quantum key distribution (QKD) protocols are used in quantum key distribution. The first protocol of that kind was BB84, introduced in 1984 by Charles

    List of quantum key distribution protocols

    List_of_quantum_key_distribution_protocols

  • Quantum optics
  • Sub-field of quantum physics and optics

    Quantum optics is a branch of atomic, molecular, and optical physics and quantum chemistry that studies the behavior of photons (individual quanta of light)

    Quantum optics

    Quantum_optics

  • QIP (complexity)
  • Complexity class

    computational complexity theory, the class QIP (which stands for Quantum Interactive Proof) is the quantum computing analogue of the classical complexity class IP

    QIP (complexity)

    QIP_(complexity)

  • Electron
  • Elementary particle with negative charge

    substructure. An electron's mass is approximately ⁠1/1836⁠ that of a proton. Quantum mechanical properties of the electron include an intrinsic angular momentum

    Electron

    Electron

    Electron

  • HHL algorithm
  • 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

    HHL_algorithm

  • No-cloning theorem
  • Theorem in quantum information science

    identical copy of an arbitrary unknown quantum state, a statement which has profound implications in the field of quantum computing among others. The theorem

    No-cloning theorem

    No-cloning_theorem

  • Simon's problem
  • Problem in computer science

    complexity theory and quantum computing, Simon's problem is a computational problem that is proven to be solved exponentially faster on a quantum computer than

    Simon's problem

    Simon's_problem

  • Quantum state purification
  • 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_state_purification

  • Cirq
  • Open-source framework for quantum computers

    framework for noisy intermediate scale quantum (NISQ) computers. Cirq was developed by the Google AI Quantum Team, and the public alpha was announced

    Cirq

    Cirq

  • Eastin–Knill theorem
  • Theorem in quantum computing

    states: "No quantum error correcting code can have a continuous symmetry which acts transversely on physical qubits". In other words, no quantum error correcting

    Eastin–Knill theorem

    Eastin–Knill_theorem

  • Bacon–Shor code
  • Quantum error correcting code

    demonstration on a quantum computer. It is named after Dave Bacon and Peter Shor. Given the stabilizer generators of Shor's code: ⟨ X 0 X 1 X 2 X 3 X

    Bacon–Shor code

    Bacon–Shor_code

  • Machine learning in physics
  • Applications of machine learning to quantum physics

    the study of quantum systems is an emergent area of physics research. A basic example of this is quantum state tomography, where a quantum state is learned

    Machine learning in physics

    Machine_learning_in_physics

  • Counterfactual quantum computation
  • Method of inferring the results of a computation without running a quantum computer

    Counterfactual quantum computation is a method of inferring the result of a computation without actually running a quantum computer otherwise capable

    Counterfactual quantum computation

    Counterfactual_quantum_computation

  • Timeline of information theory
  • related to  information theory,  quantum information theory and statistical physics,  data compression,  error correcting codes and related subjects. 1872 –

    Timeline of information theory

    Timeline_of_information_theory

  • Nuclear magnetic resonance quantum computer
  • Proposed spin-based quantum computer implementation

    Nuclear magnetic resonance quantum computing (NMRQC) is one of the several proposed approaches for constructing a quantum computer, that uses the spin

    Nuclear magnetic resonance quantum computer

    Nuclear magnetic resonance quantum computer

    Nuclear_magnetic_resonance_quantum_computer

  • BHT algorithm
  • 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

    BHT_algorithm

  • Deep learning
  • Branch of machine learning

    deep learning. Deep learning architectures for convolutional neural networks (CNNs) with convolutional layers and downsampling layers began with the Neocognitron

    Deep learning

    Deep learning

    Deep_learning

  • Quantum capacity
  • Highest rate quantum information can be sent through a noisy quantum channel

    stabilizer codes and correcting only the likely errors that the channel produces. Theorem (hashing bound). There exists a stabilizer quantum error-correcting

    Quantum capacity

    Quantum_capacity

  • BQP
  • Computational complexity class of problems

    complexity theory, bounded-error quantum polynomial time (BQP) is the class of decision problems solvable by a quantum computer in polynomial time, with

    BQP

    BQP

    BQP

  • Bernstein–Vazirani algorithm
  • Quantum algorithm

    Bernstein–Vazirani algorithm, which solves the Bernstein–Vazirani problem, is a quantum algorithm invented by Ethan Bernstein and Umesh Vazirani in 1997. It is

    Bernstein–Vazirani algorithm

    Bernstein–Vazirani algorithm

    Bernstein–Vazirani_algorithm

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