Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Gudder, Stanley P."'
Autor:
Gudder, Stanley
Our basic concept is the set $\mathcal{E}(H)$ of effects on a finite dimensional complex Hilbert space $H$. If $a,b\in\mathcal{E}(H)$, we define the sequential product $a[\mathcal{I}]b$ of $a$ then $b$. The sequential product depends on the operation
Externí odkaz:
http://arxiv.org/abs/2307.16327
Autor:
Gudder, Stanley
Publikováno v:
Quanta 2023; 12: 27-40
Until recently, a quantum instrument was defined to be a completely positive operation-valued measure from the set of states on a Hilbert space to itself. In the last few years, this definition has been generalized to such measures between sets of st
Externí odkaz:
http://arxiv.org/abs/2305.17584
Autor:
Gudder, Stanley
Publikováno v:
Quanta 2024; 13: 1-10
We begin with a study of operations and the effects they measure. We define the probability that an effect $a$ occurs when the system is in a state $\rho$ by $P_\rho (a)= tr(\rho a)$. If $P_\rho (a)\ne 0$ and $\mathcal{I}$ is an operation that measur
Externí odkaz:
http://arxiv.org/abs/2303.15640
Autor:
Gudder, Stanley
We introduce the concepts of dual instruments and sub-observables. We show that although a dual instruments measures a unique observable, it determines many sub-observables. We define a unique minimal extension of a sub-observable to an observable an
Externí odkaz:
http://arxiv.org/abs/2302.12243
Autor:
Gudder, Stanley
Publikováno v:
International Journal of Theoretical Physics 2023; 62(5): 94
We first present a generalization of the Robertson-Heisenberg uncertainty principle. This generalization applies to mixed states and contains a covariance term. For faithful states, we characterize when the uncertainty inequality is an equality. We n
Externí odkaz:
http://arxiv.org/abs/2301.07185
Autor:
Georgiev, Danko D., Gudder, Stanley P.
Publikováno v:
Modern Physics Letters B 2022; 36 (22): 2250101
Entanglement measures quantify the amount of quantum entanglement that is contained in quantum states. Typically, different entanglement measures do not have to be partially ordered. The presence of a definite partial order between two entanglement m
Externí odkaz:
http://arxiv.org/abs/2206.13180
Autor:
Gudder, Stanley
Publikováno v:
Quanta 2020; 9: 7-15
This article presents the basis of a theory of entanglement. We begin with a classical theory of entangled discrete measures in Section~1. Section~2 treats quantum mechanics and discusses the statistics of bounded operators on a Hilbert space in term
Externí odkaz:
http://arxiv.org/abs/1904.06589
Autor:
Gudder, Stanley
Publikováno v:
International Journal of Theoretical Physics 2017; 56(12): 3838-3851
We consider a discrete scalar, quantum field theory based on a cubic 4-dimensional lattice. We mainly investigate a discrete scattering operator $S(x_0,r)$ where $x_0$ and $r$ are positive integers representing time and maximal total energy, respecti
Externí odkaz:
http://arxiv.org/abs/1612.06677
Autor:
Gudder, Stanley
This article begins by reviewing the causal set approach in discrete quantum gravity. In our version of this approach a special role is played by covariant causal sets which we call $c$-causets. The importance of $c$-causets is that they support the
Externí odkaz:
http://arxiv.org/abs/1507.04810
Autor:
Gudder, Stanley P
In the causal set approach to discrete quantum gravity the universe grows one element at a time in discrete steps. At each step the process has the form of a causal set (causet) and the "completed" universe is given by a path through a discretely gro
Externí odkaz:
http://arxiv.org/abs/1208.3796