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In computational complexity theory, exact quantum polynomial time (EQP or sometimes QP) is the class of decision problems that can be solved by a quantum computer with zero error probability and in guaranteed worst-case polynomial 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 to run in polynomial time, but may not always do so.
In the original definition of EQP, each language was computed by a single quantum Turing machine (QTM), using a finite gate set whose amplitudes could be computed in polynomial time. However, some results have required the use of an infinite gate set. The amplitudes in the gate set are typically algebraic numbers.
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complexity theory, exactquantumpolynomialtime (EQP or sometimes QP) is the class of decision problems that can be solved by a quantum computer with zero...
optimization problem Quasi-polynomialtime, relating to time complexity in computer science QP or EQP, ExactQuantumPolynomialtime in computational complexity...
EQP may refer to: Equational prover Exactquantumpolynomialtime Equality-constrained quadratic program Equilibrium partitioning Elders quorum president...
machine in polynomialtime. Similarly, quantum complexity classes may be defined using quantum models of computation, such as the quantum circuit model...
polynomialtime on a classical or quantum computer? Can the graph isomorphism problem be solved in polynomialtime? Is graph canonization polynomial time...
be efficiently solved by a quantum computer with bounded error is called BQP, for "bounded error, quantum, polynomialtime". More formally, BQP is the...
important model systems in quantum mechanics. Furthermore, it is one of the few quantum-mechanical systems for which an exact, analytical solution is known...
estimation algorithm. Gilles Brassard; Peter Høyer (June 1997). "An exactquantumpolynomial-time algorithm for Simon's problem". Proceedings of the Fifth Israeli...
integers in polynomialtime. In 1995, Christopher Monroe and David Wineland published their paper, “Demonstration of a Fundamental Quantum Logic Gate”...
formulate quantum algorithms whose resources grow polynomially in the number of qubits n {\displaystyle n} , which amounts to a logarithmic time complexity...
Quantum entanglement is the phenomenon of a group of particles being generated, interacting, or sharing spatial proximity in such a way that the quantum...
resistance quantum given by the von Klitzing constant RK. This is named after Klaus von Klitzing, the discoverer of exact quantization. The quantum Hall effect...
In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common...
beyond mean-field theory. In particular, there exist numerically exact and polynomially-scaling algorithms to exactly study static properties of boson systems...
function with each added particle, making exact simulations on classical computers inefficient. Efficient quantum algorithms for chemistry problems are expected...
of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics...
identity of the complexity classes formed by taking "polynomialtime" and "non-deterministic polynomialtime" as least upper bounds. Simulating an NP-algorithm...
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...
written in polynomial form by suitable redefinitions of the fields. Conformastatic spacetimes Einstein–Hilbert action Equivalence principle Exact solutions...
In quantum mechanics, the quantum revival is a periodic recurrence of the quantum wave function from its original form during the time evolution either...
g. reservoir flow-rates) There is a large amount of literature on polynomial-time algorithms for certain special classes of discrete optimization. A...
and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological...
optimization, the quantum approximate optimization algorithm (QAOA) briefly had a better approximation ratio than any known polynomialtime classical algorithm...
Loop quantum gravity (LQG) is a theory of quantum gravity that incorporates matter of the Standard Model into the framework established for the intrinsic...
In quantum mechanics, an atomic orbital (/ˈɔːrbɪtəl/) is a function describing the location and wave-like behavior of an electron in an atom. This function...
known as Heisenberg's indeterminacy principle, is a fundamental concept in quantum mechanics. It states that there is a limit to the precision with which...
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