- In mathematics, a
binary operation is
commutative if
changing the
order of the
operands does not
change the result. It is a
fundamental property of many...
-
quantum mechanics when the idea that
observables are
represented by
noncommuting operators was
still new and strange, some
people spoke of
quantum observables...
- in B. If xy = yx, then ex + y = exey, but this
identity can fail for
noncommuting x and y. Some
alternative definitions lead to the same function. For...
-
Christopher A.; Jozsa, Richard; Schumacher,
Benjamin (1996-04-08). "
Noncommuting Mixed States Cannot Be Broadcast".
Physical Review Letters. 76 (15):...
-
superconducting qubits with pair-wise
coupling by
simultaneously applying noncommuting operations. Any
reversible gate can be
implemented on a
quantum computer...
-
Quantum stochastic calculus is a
generalization of
stochastic calculus to
noncommuting variables. The
tools provided by
quantum stochastic calculus are of great...
- Sothanaphan, Nat (January 2017). "Determinants of
block matrices with
noncommuting blocks".
Linear Algebra and Its Applications. 512: 202–218. arXiv:1805...
- Baker–Campbell–Hausdorff formula, in that both are replacements, in the
context of
noncommuting operators, for the
classical exponential law. The
formula has applications...
- for
which xy is not
necessarily equal to yx). One
imagines that
these noncommuting objects are
coordinates on some more
general notion of "space" and proves...
-
Functions of
Noncommuting Operators and
General Phase-Space
Methods in
Quantum Mechanics. I.
Mapping Theorems and
Ordering of
Functions of
Noncommuting Operators"...
