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Volumn 7, Issue 1-2, 2007, Pages 1-51

An introduction to entanglement measures

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; INFORMATION SYSTEMS;

EID: 33750896329     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (1475)

References (185)
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    • However, it is important to realise that strong correlations can be obtained by non-local theories that in other respects might be considered quite classical [12]. Hence it requires much more discussion than we will present here to decide whether certain correlations are really quantum, or classically non-local.
    • However, it is important to realise that strong correlations can be obtained by non-local theories that in other respects might be considered quite classical [12]. Hence it requires much more discussion than we will present here to decide whether certain correlations are really quantum, or classically non-local.
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    • Common synonyms for two-qubit maximally entangled states include 'singlet states', 'Bell pairs' or 'EPR pairs'. Even though these terms strictly mean different things, we will follow this widespread abuse of terminology.
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    • This excludes for example the hydrogen atom from our considerations as it has a limit point in the spectrum at the ionization level
    • This excludes for example the hydrogen atom from our considerations as it has a limit point in the spectrum at the ionization level.
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    • The no-go theorem for Gaussian entanglement distillation is actually quite subtle, as even defining Gaussian distillation is non-trivial. Consider for example the version of the no-go theorem proven in [134, there entanglement distillation is denned as a process which allows you to reach a two-mode squeezed state with arbirarily high squeezing. Although [134] show that this is not possible. from an operational perspective one can use Gaussian operations to improve the quality of the entanglement present. For instance, consider a bi-partite four-mode state ρ which consists of a two-mode highly entangled state tensored with a product pure state. Given two copies of ρ, Alice and Bob can merely throw away the product components and are left with a single four-mode state that possesses greater utility for quantum information processing. Hence according to an operational definition of entanglement distillation say improvement of teleportation fidelity, it is possible to distill G
    • The no-go theorem for Gaussian entanglement distillation is actually quite subtle, as even defining Gaussian distillation is non-trivial. Consider for example the version of the no-go theorem proven in [134] - there entanglement distillation is denned as a process which allows you to reach a two-mode squeezed state with arbirarily high squeezing. Although [134] show that this is not possible. from an operational perspective one can use Gaussian operations to improve the quality of the entanglement present. For instance, consider a bi-partite four-mode state ρ which consists of a two-mode highly entangled state tensored with a product pure state. Given two copies of ρ, Alice and Bob can merely throw away the product components and are left with a single four-mode state that possesses greater utility for quantum information processing. Hence according to an operational definition of entanglement distillation (say improvement of teleportation fidelity), it is possible to distill Gaussian entanglement using Gaussian operations from Gaussian states of 2 × 2 modes. This apparent contradiction arises because there are different ways in which one can quantify the increase of entanglement of quantum states - in principle this subtle distinction may also be an issue in the finite dimensional regime.
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    • The web site at the Universität Braunschweig http://www.imaph.tu- bs.de/qi/problems/3.html contains an interesting review of this problem and further references.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.