Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory
Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory
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代数量子场论中的局部运算和完全正映射
DOI：
10.1007/978-981-13-2487-1_3
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Yuichiro Kitajima
中科院分区：
文献类型：
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作者：
児玉善仁他編;月澤美代子他担当執筆;丹下裕，舩木英岳，木下博美，福井繁雄，畑亮次，金森克浩;舩木英岳，丹下裕，福井繁雄，畑亮次，桝田勲，平井慎一，金森克浩;舩木英岳，丹下裕，木下博美，福井繁雄，畑亮次，金森克浩;丹下裕，舩木英岳，木下博美，福井繁雄，古林達哉，金森克浩;田中浩朗;田中浩朗;坂野徹;田中浩朗;北島雄一郎;北島雄一郎;坂野徹;田中浩朗;坂野徹;Yuichiro Kitajima
爱因斯坦引入了定域性原理，该原理指出，在某个有限时空区域中的所有物理效应都不会影响其类空分离的有限区域。最近，在代数量子场论中，雷代通过运算可分性的概念抓住了定域性原理的思想。运算可分性中的运算是在某个有限时空区域内进行的，而在其类空分离的有限时空区域内保持状态不变。这个操作是用一个完全正映射定义的。本文证明了在代数量子场论中使用完全正映射作为局域操作的合理性，并证明了在漏斗性质下，这种局域操作可以近似地用Kraus算子表示.
Einstein introduced the locality principle which states that all physical effect in some finite space-time region does not influence its space-like separated finite region. Recently, in algebraic quantum field theory, Rédei captured the idea of the locality principle by the notion of operational separability. The operation in operational separability is performed in some finite space-time region, and leaves unchanged the state in its space-like separated finite space-time region. This operation is defined with a completely positive map. In the present paper, we justify using a completely positive map as a local operation in algebraic quantum field theory, and show that this local operation can be approximately written with Kraus operators under the funnel property.