| dbo:abstract |
The entropy of entanglement (or entanglement entropy) is a measure of the degree of quantum entanglement between two subsystems constituting a two-part composite quantum system. Given a pure bipartite quantum state of the composite system, it is possible to obtain a reduced density matrix describing knowledge of the state of a subsystem. The entropy of entanglement is the Von Neumann entropy of the reduced density matrix for any of the subsystems. If it is non-zero, i.e. the subsystem is in a mixed state, it indicates the two subsystems are entangled. More mathematically; if a state describing two subsystems A and B is a separable state, then the reduced density matrix is a pure state. Thus, the entropy of the state is zero. Similarly, the density matrix of B would also have 0 entropy. A reduced density matrix having a non-zero entropy is therefore a signal of the existence of entanglement in the system. (en) La entropía de entrelazamiento es una medida del entrelazamiento para un estado cuántico de muchos cuerpos. (es) 양자 정보 이론에서 얽힘 엔트로피(영어: entanglement entropy, entropy of entanglement)는 순수 상태의 양자 얽힘에 의한 정보량을 나타내는 물리량이다. (ko) 一個由A部分和B部分組成的量子力學的系統，A與B之間可能存在某種遠距離的相關性，即使A與B之間並不存在交互作用力，這種關聯仍然存在，而且A部分和B部分的空間距離可以很遠，這種概念稱為糾纏。糾纏的強弱程度常利用糾纏熵來定量分析。事實上，糾纏的概念並不侷限只把系統分成兩個部分，但是多個部份的糾纏強弱在定量分析上遭遇許多困難，目前仍是物理學家研究的課題之一。常見的糾纏熵都是定義在一個由A部分和B部分組成的純態系統，例如：冯诺依曼熵、倫伊熵。 (zh) |
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https://archive.org/details/compendiumquantu00gree_195 https://archive.org/details/compendiumquantu00gree_195/page/n267 |
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dbc:Entropy |
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dbr:Measure |
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dbo:Software |
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La entropía de entrelazamiento es una medida del entrelazamiento para un estado cuántico de muchos cuerpos. (es) 양자 정보 이론에서 얽힘 엔트로피(영어: entanglement entropy, entropy of entanglement)는 순수 상태의 양자 얽힘에 의한 정보량을 나타내는 물리량이다. (ko) 一個由A部分和B部分組成的量子力學的系統，A與B之間可能存在某種遠距離的相關性，即使A與B之間並不存在交互作用力，這種關聯仍然存在，而且A部分和B部分的空間距離可以很遠，這種概念稱為糾纏。糾纏的強弱程度常利用糾纏熵來定量分析。事實上，糾纏的概念並不侷限只把系統分成兩個部分，但是多個部份的糾纏強弱在定量分析上遭遇許多困難，目前仍是物理學家研究的課題之一。常見的糾纏熵都是定義在一個由A部分和B部分組成的純態系統，例如：冯诺依曼熵、倫伊熵。 (zh) The entropy of entanglement (or entanglement entropy) is a measure of the degree of quantum entanglement between two subsystems constituting a two-part composite quantum system. Given a pure bipartite quantum state of the composite system, it is possible to obtain a reduced density matrix describing knowledge of the state of a subsystem. The entropy of entanglement is the Von Neumann entropy of the reduced density matrix for any of the subsystems. If it is non-zero, i.e. the subsystem is in a mixed state, it indicates the two subsystems are entangled. (en) |
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Entropía de entrelazamiento (es) Entropy of entanglement (en) 얽힘 엔트로피 (ko) 糾纏熵 (zh) |
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