Discrete wigner function
WebDec 31, 2008 · The Wigner function is written for some chosen states associated to discrete angle and angular momentum variables, and the time evolution is numerically calculated using the discrete von Neumann ... Weban equivalent discrete-variable Wigner function as defined by Wooters for the first seven prime dimensions. As Wooters’ discrete-variable Wigner function, as well as the many other definitions of such representations, are only initially defined for prime dimensional systems, our method aims to provide a universal discrete-variable Wigner ...
Discrete wigner function
Did you know?
WebAug 25, 2024 · Discretizing a distribution function in a phase space for an efficient quantum dynamics simulation is a non-trivial challenge, in particular for a case in which a system is further coupled to environmental degrees of freedom. Such open quantum dynamics is described by a reduced equation of motion (REOM), most notably by a quantum … WebOct 15, 2024 · The discretization of the optimization model and the modified optimization model mentioned in the previous paragraph, which are the so called Wigner shooting model (WSM) and the Wigner-regularized shooting model (WRSM), respectively, are both minimized with the shooting algorithm proposed in Sect. 4.
WebWigner functions have been defined also in discrete quantum systems (the article I cited does this), such as the ones arising in Nuclear Magnetic Resonance. The fact that … WebDec 22, 2006 · We analyze some features of the class of discrete Wigner functions that was recently introduced by Gibbons et al.[Phys. Rev. A70, 062101 (2004)] to represent quantum states of systems with power-of-prime dimensional Hilbert spaces.
WebMay 9, 2024 · We discuss the construction of discrete covariant Wigner functions for these bundles and provide several illuminating examples. We further elaborate on a … WebJan 1, 2008 · This chapter discusses the continuous Wigner function, followed by discrete finite space and finite fields. It also discusses the generalized Pauli group, mutually …
WebA 70, 062101 (2004)] have recently defined discrete Wigner functions W to represent quantum states in a Hilbert space with finite dimension. We show that such a class of Wigner functions W can be defined so that the only pure states having non-negative W for all such functions are stabilizer states, as conjectured by Galvão, [Phys. Rev. A 71 ... grieving husband teacherWebOct 1, 2005 · We construct, using simple geometrical arguments, a Wigner function defined on a discrete phase space of arbitrary integer Hilbert-space dimension that is free of redundancies. “Ghost images” plaguing other Wigner functions for discrete phase spaces are thus revealed as artifacts. It allows to devise a corresponding phase-space … grieving husband of teacher has diedWebApr 13, 2024 · When the dimension of the Hilbert space is odd, Gross' Wigner function can be used for this purpose. In contrast, when the dimension is even, Gross' Wigner function doesn't exist, and the process of constructing an appropriate indicator becomes more involved. ... Ernesto F. Galvao. ``Discrete wigner functions and quantum … grieving husband\u0027s deathWebMay 20, 2002 · To define Wigner functions for discrete systems various attempts can be found in the literature. Most notably, Wooters [4] proposes a definition that has the properties (P1)–(P3) only when N is a prime number. His phase space is an N×N grid (if N is prime) and a Cartesian product of spaces corresponding to prime factors of N in the … fiestaware dinner platesWebJun 10, 2024 · Nevertheless, some authors interpret W f (l, φ) as a function on the classical phase space that is the cylinder [], while others consider W f (l, φ) as a function on a partially quantized space , where is the set of integers, and assume that l is discrete (see for example reference []).We point out that the formula was derived by means of different … fiestaware dot comWebFeb 5, 2024 · We remark that the qubit case cannot be treated in this setup due to the lack of the corresponding discrete Wigner function since the qubit dimension d = 2 is not an odd number. The remainder of the work is structured as follows. In Sec. 1, we review stabilizer formalism and discrete Wigner function to set up the framework and to … fiestaware disc pitcherWebQutrit Magic State Distillation),the discrete wigner function of this state must contain negative items. Futhermore, this state must violate one of the non-contextuality hidden varibles inequalities as well.these inequalities are constructed from stabilizer measurements. For qudits, these inequalities are state-dependent. fiestaware display