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...

optimization problem Quasi-polynomial time, relating to time complexity in computer science QP or EQP, Exact Quantum Polynomial time in computational complexity...

be efficiently solved by a quantum computer with bounded error is called BQP, for "bounded error, quantum, polynomial time". More formally, BQP is the...

existence of a short (polynomial length) solution. The correctness of each solution can be verified quickly (namely, in polynomial time) and a brute-force...

machine in polynomial time. Similarly, quantum complexity classes may be defined using quantum models of computation, such as the quantum circuit model...

important model systems in quantum mechanics. Furthermore, it is one of the few quantum-mechanical systems for which an exact, analytical solution is known...

done in polynomial time on a classical (non-quantum) computer? Can the discrete logarithm be computed in polynomial time on a classical (non-quantum) computer...

integers in polynomial time. In 1995, Christopher Monroe and David Wineland published their paper, “Demonstration of a Fundamental Quantum Logic Gate”...

it exactly. Then, the polynomial time algorithm for approximate subset sum becomes an exact algorithm with running time polynomial in n and 2 P {\displaystyle...

EQP may refer to: Equational prover Exact quantum polynomial time Equality-constrained quadratic program Equilibrium partitioning Elders quorum president...

estimation algorithm. Gilles Brassard; Peter Høyer (June 1997). "An exact quantum polynomial-time algorithm for Simon's problem". Proceedings of the Fifth Israeli...

On a quantum computer, to factor an integer N {\displaystyle N} , Shor's algorithm runs in polynomial time, meaning the time taken is polynomial in log...

formulate quantum algorithms whose resources grow polynomially in the number of qubits n {\displaystyle n} , which amounts to a logarithmic time complexity...

beyond mean-field theory. In particular, there exist numerically exact and polynomially-scaling algorithms to exactly study static properties of boson systems...

especially in the field of algebra, a polynomial ring or polynomial algebra is a ring formed from the set of polynomials in one or more indeterminates (traditionally...

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...

function with each added particle, making exact simulations on classical computers inefficient. Efficient quantum algorithms for chemistry problems are expected...

optimality of Grover's algorithm suggests that quantum computers cannot solve NP-Complete problems in polynomial time, and thus NP is not contained in BQP. It...

Quantum entanglement is the phenomenon of a group of particles being generated, interacting, or sharing spatial proximity in such a way that the quantum...

Laguerre polynomials of degree n − ℓ − 1 {\displaystyle n-\ell -1} , n , ℓ , m {\displaystyle n,\ell ,m} are the principal, azimuthal, and magnetic quantum numbers...

identity of the complexity classes formed by taking "polynomial time" and "non-deterministic polynomial time" as least upper bounds. Simulating an NP-algorithm...

decomposition), then it can be solved in polynomial time using dynamic programming. In general, the time required is polynomial in the graph size, but exponential...

of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics...

In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common...

g. reservoir flow-rates) There is a large amount of literature on polynomial-time algorithms for certain special classes of discrete optimization. A...

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...

optimization, the quantum approximate optimization algorithm (QAOA) briefly had a better approximation ratio than any known polynomial time classical algorithm...

written in polynomial form by suitable redefinitions of the fields. Conformastatic spacetimes Einstein–Hilbert action Equivalence principle Exact solutions...

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...

and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological...