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

the overhead of simulation may be too large to be practical. The threshold theorem shows how increasing the number of qubits can mitigate errors, yet...

chain Magic state distillation Quantum threshold theorem Quantum Interactive Polynomial time Solovay–Kitaev theorem Topological entanglement entropy Toric...

theorem (proof theory) Deduction theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem...

algorithm Shor code CSS code SMAWK algorithm Stabilizer code Quantum threshold theorem Awards Putnam Fellow (1978) Nevanlinna Prize (1998) MacArthur Fellowship...

\Theta (1/n)} , and so this is a coarse threshold. Friedgut's sharp threshold theorem states, roughly speaking, that a monotone graph property (a graph...

Levinson's theorem is an important theorem of scattering theory. In non-relativistic quantum mechanics, it relates the number of bound states in channels...

the Pickands–Balkema–De Haan theorem describes the values above a threshold. The theorem owes its name to mathematicians James Pickands, Guus Balkema, and...

The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate...

equitable chromatic threshold of this graph is 2n + 2, significantly greater than its equitable chromatic number of two. Brooks' theorem states that any connected...

quantum computations of arbitrary length is the content of the quantum threshold theorem, found by Michael Ben-Or and Dorit Aharonov, which asserts that you...

modes in a single step. Quantum error correction and the quantum threshold theorem Quantum computing § Obstacles Superconductive quantum computing Josephson...

errors than classical computers due to decoherence and noise. The threshold theorem states that a noisy quantum computer can use quantum error-correcting...

Kahn–Kalai conjecture, also known as the expectation threshold conjecture or more recently the Park-Pham Theorem, was a conjecture in the field of graph theory...

schemes that make use of the Chinese remainder theorem, Mignotte's and Asmuth-Bloom's Schemes. They are threshold secret sharing schemes, in which the shares...

Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with...

(post-doctorate) Known for Aharonov–Jones–Landau algorithm Quantum threshold theorem Awards Krill Prize for Excellence in Scientific Research Scientific...

In the field of machine learning, the universal approximation theorems state that neural networks with a certain structure can, in principle, approximate...

In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise...

The Erdős–Gallai theorem is a result in graph theory, a branch of combinatorial mathematics. It provides one of two known approaches to solving the graph...

The Gale–Ryser theorem is a result in graph theory and combinatorial matrix theory, two branches of combinatorics. It provides one of two known approaches...

In physics, the no-communication theorem (also referred to as the no-signaling principle) is a no-go theorem in quantum information theory. It asserts...

Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the...

{\displaystyle k} input units. Theorem. (Theorem 3.1.1): The parity function is conjunctively local of order n {\displaystyle n} . Theorem. (Section 5.5): The connectedness...

on the Pickands–Balkema–de Haan theorem. Novak (2011) reserves the term "POT method" to the case where the threshold is non-random, and distinguishes...

In physics, the no-cloning theorem states that it is impossible to create an independent and identical copy of an arbitrary unknown quantum state, a statement...

containing partial information about the secret. The Chinese remainder theorem (CRT) states that for a given system of simultaneous congruence equations...

5% respectively, if only one or none of the lists surpass the standard thresholds. "Sri Lanka electors can vote for one party, three preferences in 2020...

In mathematics, the Erdős–Ko–Rado theorem limits the number of sets in a family of sets for which every two sets have at least one element in common....

threshold, is described by the prime number theorem, but no efficient formula for the ⁠ n {\displaystyle n} ⁠-th prime is known. Dirichlet's theorem on...