منابع مشابه
Quantum carpets, carpets of light
In 1836 Henry Fox Talbot, an inventor of photography, published the results of some experiments in optics that he had previously demonstrated at a British Association meeting in Bristol. "It was very curious to observe that though the grating was greatly out of the focus of the lens...the appearance of the bands was perfectly distinct and well defined...the experiments are communicated in the h...
متن کاملWigner Functions for Arbitrary Quantum Systems.
The possibility of constructing a complete, continuous Wigner function for any quantum system has been a subject of investigation for over 50 years. A key system that has served to illustrate the difficulties of this problem has been an ensemble of spins. Here we present a general and consistent framework for constructing Wigner functions exploiting the underlying symmetries in the physical sys...
متن کاملPositive Wigner functions render classical simulation of quantum computation efficient.
We show that quantum circuits where the initial state and all the following quantum operations can be represented by positive Wigner functions can be classically efficiently simulated. This is true both for continuous-variable as well as discrete variable systems in odd prime dimensions, two cases which will be treated on entirely the same footing. Noting the fact that Clifford and Gaussian ope...
متن کاملDiscrete Wigner functions and quantum computational speed-up
In quant-ph/0401155 Wootters and colaborators defined a class of discrete Wigner functions W to represent quantum states in a finite Hilbert space dimension d. I characterize a set Cd of states having non-negative W simultaneously in all definitions of W in this class. For d ≤ 5 I show Cd is the convex hull of stabilizer states. This supports the conjecture that negativity of W is necessary for...
متن کاملOn Simulating Liouvillian Flow From Quantum Mechanics Via Wigner Functions
The interconnection between quantum mechanics and probabilistic classical mechanics for a free relativistic particle is derived in terms of Wigner functions (WF) for both Dirac and Klein-Gordon (K-G) equations. Construction of WF is achieved by first defining a bilocal 4-current and then taking its Fourier transform w.r.t. the relative 4-coordinate. The K-G and Proca cases also lend themselves ...
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ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2000
ISSN: 1367-2630
DOI: 10.1088/1367-2630/2/1/004