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pro vyhledávání: '"59"'
Autor:
Verdon, Dominic
Publikováno v:
J. Math. Phys. 63, 091705 (2022)
We prove a finite-dimensional covariant Stinespring theorem for compact quantum groups. Let G be a compact quantum group, and let T:= Rep(G) be the rigid C*-tensor category of finite-dimensional continuous unitary representations of G. Let Mod(T) be
Externí odkaz:
http://arxiv.org/abs/2108.09872
Publikováno v:
Int. J. Theor. Phys. 59 (2020) 2647-2669
The Tsallis $q$-exponential function $e_q(x) = (1+(1-q)x)^{\frac{1}{1-q}}$ is found to be associated with the deformed oscillator defined by the relations $\left[N,a^\dagger\right] = a^\dagger$, $[N,a] = -a$, and $\left[a,a^\dagger\right] = \phi_T(N+
Externí odkaz:
http://arxiv.org/abs/1911.02428
Publikováno v:
Journal of Mathematical Physics 59, 081706 (2018)
We introduce a notion of quantum function, and develop a compositional framework for finite quantum set theory based on a 2-category of quantum sets and quantum functions. We use this framework to formulate a 2-categorical theory of quantum graphs, w
Externí odkaz:
http://arxiv.org/abs/1711.07945
Autor:
Andersson, Andreas
Publikováno v:
J. Math. Phys. Vol 59, Issue 2, 022107 (2018)
A unital completely positive map governing the time evolution of a quantum system is usually called a quantum channel, and it can be represented by a tuple of operators which are then referred to as the Kraus operators of the channel. We look at stat
Externí odkaz:
http://arxiv.org/abs/1506.00411