The purification is not unique, the different purifications that can lead to the same mixed states are limited by the Schrödinger–HJW theorem. Purification...

In game theory, the purification theorem was contributed by Nobel laureate John Harsanyi in 1973. The theorem justifies a puzzling aspect of mixed strategy...

information Purification theorem in game theory and economics, a Nash equilibrium consisting of randomly mixed strategies Water purification Organisms used...

with the overlap. Uhlmann's theorem generalizes this statement to mixed states, in terms of their purifications: Theorem Let ρ and σ be density matrices...

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...

as a subsystem of a larger composite system in a pure state (see purification theorem). In the absence of quantum entanglement, the quantum state of the...

Entanglement distillation (also called entanglement purification) is the transformation of N copies of an arbitrary entangled state ρ {\displaystyle \rho...

no-broadcasting theorem is a result of quantum information theory. In the case of pure quantum states, it is a corollary of the no-cloning theorem. The no-cloning...

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

The no-hiding theorem states that if information is lost from a system via decoherence, then it moves to the subspace of the environment and it cannot...

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...

The Eastin–Knill theorem is a no-go theorem that states: "No quantum error correcting code can have a continuous symmetry which acts transversely on physical...

compound may be collected from the cooling surface. For even higher purification efficiencies, a temperature gradient is applied, which also allows for...

In quantum information and computation, the Solovay–Kitaev theorem says that if a set of single-qubit quantum gates generates a dense subgroup of SU(2)...

In quantum information theory, the no-teleportation theorem states that an arbitrary quantum state cannot be converted into a sequence of classical bits...

In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from...

In physics, the no-deleting theorem of quantum information theory is a no-go theorem which states that, in general, given two copies of some arbitrary...

Pusey–Barrett–Rudolph (PBR) theorem is a no-go theorem in quantum foundations due to Matthew Pusey, Jonathan Barrett, and Terry Rudolph (for whom the theorem is named)...

In quantum computing, the Gottesman–Knill theorem is a theoretical result by Daniel Gottesman and Emanuel Knill that states that stabilizer circuits–circuits...

Holevo's theorem is an important limitative theorem in quantum computing, an interdisciplinary field of physics and computer science. It is sometimes called...

self-adjoint, and has trace one. Conversely, it follows from the spectral theorem that every operator with these properties can be written as ∑ j p j | ψ...

soccer-ball-shaped or Ih with 12 pentagons and 20 hexagons. According to Euler's theorem these 12 pentagons are required for closure of the carbon network consisting...

Bravyi and Alexei Kitaev the same year. Thanks to the Gottesman–Knill theorem, it is known that some quantum operations (operations in the Clifford group)...

with mathematical and scientific discoveries, such as the Pythagorean theorem, Pythagorean tuning, the five regular solids, the theory of proportions...

Monogamy of entanglement LOCC Quantum channel quantum network State purification Quantum teleportation quantum energy teleportation quantum gate teleportation...

information theory, for example in entanglement characterization and in state purification, and plasticity. Let H 1 {\displaystyle H_{1}} and H 2 {\displaystyle...

principle that quantum states cannot be perfectly duplicated (the no-cloning theorem), making it impossible to forge quantum money by including quantum systems...

states one is trying to distinguish are not orthogonal (see no-cloning theorem); and (2) the existence of an authenticated public classical channel. It...

are needed to specify the state of a subsystem of a larger system (see purification of quantum state); analogously, POVMs are necessary to describe the effect...