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...

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

\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...

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

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...

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

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...

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

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...

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

Arrow's impossibility theorem is a key result in social choice theory, showing that no ranking-based decision rule can satisfy the requirements of rational...

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...

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...

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...

Impossibility theorems Arrow's theorem Majority impossibility Moulin's impossibility theorem McKelvey–Schofield chaos theorem Gibbard's theorem Positive results...

mathematical theory of artificial neural networks, universal approximation theorems are theorems of the following form: Given a family of neural networks, for each...

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...

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...

{\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...

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...

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...

=[Q][f] Noisy intermediate-scale quantum era Quantum error correction Threshold theorem Finke, Doug; Shaw, David (21 Sep 2023). "A Deeper Dive Into Microsoft's...

These models give rise to an influential theorem—the median voter theorem—attributed to Duncan Black. This theorem stipulates that within a broad range of...