论文标题
限制性狄拉克纺纱器的相空间基本信息内容
Phase-space elementary information content of confined Dirac spinors
论文作者
论文摘要
始终获得有关通过协变相空间公式来描述dirac旋转结构的报道，纯度信息量化量和涉及自旋 - 差异（离散）和位置摩托车（连续）自由度的量子信息量词始终获得。 For Dirac spinor Wigner operators decomposed into Poincaré classes of $SU(2) \otimes SU(2)$ spinor couplings, a definitive expression for quantum purity is identified in a twofold way: firstly, in terms of phase-space positively defined quantities, and secondly, in terms of the {\em spin-parity traced-out} associated density matrix in the position coordinate representation, both derived from原始的Lorentz协变相空间Wigner表示。自然地，这种结构支持与离散（自旋 - 偏度）和连续（位置 - 摩托马特）自由度相关的相对（线性）熵的计算。所获得的理论工具用于量化（相对）纯度，相互信息以及通过量子并发量化器，自旋 - 量子量子纠缠，用于被统一的磁场所捕获的充电费米，顺便说一句，该磁场的相位空间结构完全描述了与laguerre polynomials相关的相关级别的相关级别的相位空间结构。我们的结果可以理解为表现出某种狭窄行为的类似狄拉克式系统基本信息内容的系统计算的第一步。
Reporting about the Wigner formalism for describing Dirac spinor structures through a covariant phase-space formulation, the quantum information quantifiers for purity and mutual information involving spin-parity (discrete) and position-momentum (continuous) degrees of freedom are consistently obtained. For Dirac spinor Wigner operators decomposed into Poincaré classes of $SU(2) \otimes SU(2)$ spinor couplings, a definitive expression for quantum purity is identified in a twofold way: firstly, in terms of phase-space positively defined quantities, and secondly, in terms of the {\em spin-parity traced-out} associated density matrix in the position coordinate representation, both derived from the original Lorentz covariant phase-space Wigner representation. Naturally, such a structure supports the computation of relative (linear) entropies respectively associated to discrete (spin-parity) and continuous (position-momentum) degrees of freedom. The obtained theoretical tools are used for quantifying (relative) purities, mutual information as well as, by means of the quantum concurrence quantifier, the spin-parity quantum entanglement, for a charged fermion trapped by a uniform magnetic field which, by the way, has the phase-space structure completely described in terms of Laguerre polynomials associated to the quantized Landau levels. Our results can be read as the first step in the systematic computation of the elementary information content of Dirac-like systems exhibiting some kind of confining behavior.
