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Quantum complexity theory information


Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational model based on quantum mechanics. It studies the hardness of computational problems in relation to these complexity classes, as well as the relationship between quantum complexity classes and classical (i.e., non-quantum) complexity classes.

Two important quantum complexity classes are BQP and QMA.

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Quantum complexity theory

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

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Computational complexity

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Quantum complexity theory has been developed to study the complexity classes of problems solved using quantum computers. It is used in post-quantum cryptography...

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BQP

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

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Quantum information science

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Quantum information science is a field that combines the principles of quantum mechanics with information theory to study the processing, analysis, and...

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Quantum computing

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quantum computer, given enough time. Quantum advantage comes in the form of time complexity rather than computability, and quantum complexity theory shows...

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Quantum supremacy

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generated by the quantum experiment. For this conclusion to be valid, only very mild assumptions in the theory of computational complexity have to be invoked...

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Quantum algorithm

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Yard, J. (2008). "The Jones polynomial: quantum algorithms and applications in quantum complexity theory". Quantum Information and Computation. 8 (1): 147–180...

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Quantum mind

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He claimed that both quantum theory and relativity pointed to this deeper theory, which he formulated as a quantum field theory. This more fundamental...

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Computational complexity theory

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In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource...

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Communication complexity

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of communication. Note that, unlike in computational complexity theory, communication complexity is not concerned with the amount of computation performed...

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Theoretical computer science

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computational complexity, parallel and distributed computation, probabilistic computation, quantum computation, automata theory, information theory, cryptography...

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Quantum information

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

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Quantum Turing machine

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equal to the classical complexity class PP. Quantum simulator § Solving physics problems Andrew Yao (1993). Quantum circuit complexity. 34th Annual Symposium...

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Quantum machine learning

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and to use quantum protocols to improve the time complexity of classical algorithms for these problems. Although quantum learning theory is still under...

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PCP theorem

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computational complexity theory, the PCP theorem (also known as the PCP characterization theorem) states that every decision problem in the NP complexity class...

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Quantum chaos

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Quantum chaos is a branch of physics which studies how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question...

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QMA

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In computational complexity theory, QMA, which stands for Quantum Merlin Arthur, is the set of languages for which, when a string is in the language, there...

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Quantum Bayesianism

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of the theory. QBism deals with common questions in the interpretation of quantum theory about the nature of wavefunction superposition, quantum measurement...

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Complexity class

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In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly...

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Umesh Vazirani

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the field of quantum computing. His 1993 paper with his student Ethan Bernstein on quantum complexity theory defined a model of quantum Turing machines...

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Quantum channel

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In quantum information theory, a quantum channel is a communication channel which can transmit quantum information, as well as classical information....

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Scott Aaronson

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at Austin. His primary areas of research are computational complexity theory and quantum computing. Aaronson is married to computer scientist Dana Moshkovitz...

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Quantum nonlocality

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superseding or replacing quantum theory should account for such experiments and therefore cannot fulfill local realism; quantum nonlocality is a property...

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Time complexity

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the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly...

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Quantum optics

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demonstration of quantum entanglement, quantum teleportation, and quantum logic gates. The latter are of much interest in quantum information theory, a subject...

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Quantum neural network

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with the theory of quantum mind, which posits that quantum effects play a role in cognitive function. However, typical research in quantum neural networks...

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Theoretical physics

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theory (quantum mechanics) Physical cosmology Quantum chromodynamics Quantum complexity theory Quantum electrodynamics Quantum field theory Quantum field...

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