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理论物理通讯：英文版

New Approach for Calculating Tomograms of Quantum States by Virtue of the IWOP Technique

Fan Fan, Hong-Yi, Wang, Ji-Suo

Published Jan 1, 2007• 4 citations
OpenAlex

Abstract

我们显示出那因为 tomographic 在那里来临存在二相互结合量状态| p ，σ，τ > 和| x ，μ， v > (说出中间的 coordinate-momentumrepresentation )，并且 Wigner 操作员的二氡变换只是纯状态的密度矩阵| p > _(σ，τσ，τ) _( λ， v λ， v )< x |分别地。作为结果，量状态的断层照片能被看作状态的模块平方“在这二个代表的波浪功能。在整个纸，我们充分在操作员的一个订的产品以内采用集成的技术。这样，我们建立量断层照片的一个新方便形式体系。

Related papers

New Approach for Calculating Tomograms of Quantum States by Virtue of the IWOP Technique

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We show that for tomographic approach there exist two mutual conjugate quantum states | p ,σ,τ⟩ and | x ,μ,ν⟩ (named the intermediate coordinate-momentum representation), and the two Radon transforms of the Wigner operator are just the pure-state density matrices | p ⟩ σ,τσ,τ ⟨ p | and | x ⟩ λ,νλ,ν ⟨ x | respectively. As a result, the tomogram of quantum states can be considered as the module-square of the states' wave function in these two representations. Throughout the paper we fully employ the technique of integration within an ordered product of operators. In this way we establish a new convenient formalism of quantum tomogram.

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由使用纠缠的 Wigner 操作符和纠缠的州的表示的明确的形式，我们为由两部组成的纠缠的系统导出在波浪功能和相应 Wigner 功能之间的关系。在操作员的一个订的产品(IWOP ) 以内的集成的技术在我们的讨论被采用。

理论物理通讯：英文版•Jan 1, 2008•1 citation

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The formulation of region operators named by D. Ellinas and A. J. Bracken [Phys. Rev. A 78, 052106 (2008)], which appears as the phase-space integration corresponding to the straight line over the Wigner operator, is manifestly improved and generalized. By virtue of the technique of integration within ordered (both normally ordered and Weyl ordered) product of operators, we show that the integration involved in the generalized region operator can be directly carried through to completion that leads to the explicit pure-state density operator |u⟩λ,τλ,τ⟨u|, where |u⟩λ,τ makes up the coordinate-momentum intermediate representation. This directly results in that the tomogram of a quantum state |ψ⟩ is just proportional to |⟨u|ψ⟩λ,τ|2, where ⟨u|ψ⟩λ,τ is the wave function of |ψ⟩ in the coordinate-momentum intermediate representation.

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Fan Fan, Hong-Yi, Guo Guo +1 more

我们在连续统状态向量空间介绍量 Hadamard 操作符并且发现它能被分解成一个单个模式的压榨操作符和位置动量相互的变换操作员。在由两部组成的纠缠的州的表示的二模式的 Hadamard 操作员也被介绍，它包含二模式的压榨操作员和 |η ↔ ξ 相互的转变操作员，在 |η 和 ξ 是相互的的地方，结合纠缠的状态。所有讨论被 IWOP 技术的优点继续。

理论物理通讯：英文版•Jan 1, 2008•2 citations
我们显示出那因为 tomographic 在那里来临存在二相互结合量状态| p ，σ，τ > 和| x ，μ， v > (说出中间的 coordinate-momentumrepresentation )，并且 Wigner 操作员的二氡变换只是纯状态的密度矩阵| p > _(σ，τσ，τ) _( λ， v λ， v )< x |分别地。作为结果，量状态的断层照片能被看作状态的模块平方“在这二个代表的波浪功能。在整个纸，我们充分在操作员的一个订的产品以内采用集成的技术。这样，我们建立量断层照片的一个新方便形式体系。
We show that for tomographic approach there exist two mutual conjugate quantum states | p ,σ,τ⟩ and | x ,μ,ν⟩ (named the intermediate coordinate-momentum representation), and the two Radon transforms of the Wigner operator are just the pure-state density matrices | p ⟩ σ,τσ,τ ⟨ p | and | x ⟩ λ,νλ,ν ⟨ x | respectively. As a result, the tomogram of quantum states can be considered as the module-square of the states' wave function in these two representations. Throughout the paper we fully employ the technique of integration within an ordered product of operators. In this way we establish a new convenient formalism of quantum tomogram.
The formulation of region operators named by D. Ellinas and A. J. Bracken [Phys. Rev. A 78, 052106 (2008)], which appears as the phase-space integration corresponding to the straight line over the Wigner operator, is manifestly improved and generalized. By virtue of the technique of integration within ordered (both normally ordered and Weyl ordered) product of operators, we show that the integration involved in the generalized region operator can be directly carried through to completion that leads to the explicit pure-state density operator |u⟩λ,τλ,τ⟨u|, where |u⟩λ,τ makes up the coordinate-momentum intermediate representation. This directly results in that the tomogram of a quantum state |ψ⟩ is just proportional to |⟨u|ψ⟩λ,τ|2, where ⟨u|ψ⟩λ,τ is the wave function of |ψ⟩ in the coordinate-momentum intermediate representation.