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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 circuit model of computation. [ 1 ] [ 2 ] A classical (or non-quantum) algorithm is a finite sequence of instructions, or a step-by-step procedure for solving a problem, where each step ...
The swap test is a procedure in quantum computation that is used to check how much two quantum states differ, appearing first in the work of Barenco et al. [1] and later rediscovered by Harry Buhrman, Richard Cleve, John Watrous, and Ronald de Wolf. [2]
Infinite Dimensional Analysis, Quantum Probability and Related Topics is a quarterly peer-reviewed scientific journal published since 1998 by World Scientific. It covers the development of infinite dimensional analysis , quantum probability , and their applications to classical probability and other areas of physics .
Furthermore, quantum algorithms can be used to analyze quantum states instead of classical data. [16] [17] Beyond quantum computing, the term "quantum machine learning" is also associated with classical machine learning methods applied to data generated from quantum experiments (i.e. machine learning of quantum systems), such as learning the ...
Quantum state tomography is a process by which, given a set of data representing the results of quantum measurements, a quantum state consistent with those measurement results is computed. [50] It is named by analogy with tomography , the reconstruction of three-dimensional images from slices taken through them, as in a CT scan .
Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, [1] [2] [3] and can be manipulated using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general computational term.
The fidelity between two quantum states and , expressed as density matrices, is commonly defined as: [1] [2] (,) = ().The square roots in this expression are well-defined because both and are positive semidefinite matrices, and the square root of a positive semidefinite matrix is defined via the spectral theorem.
Quantinuum is a quantum computing company formed by the merger of Cambridge Quantum and Honeywell Quantum Solutions. [1] The company's H-Series trapped-ion quantum computers set the highest quantum volume to date of 1,048,576 in April 2024. [ 2 ]