The Asymptotic Spectrum of LOCC Transformations
نویسندگان
چکیده
منابع مشابه
Asymptotic Compatibility between LOCC Conversion and Recovery
Recently, entanglement concentration was explicitly shown to be irreversible. However, it is still not clear what kind of states can be reversibly converted in the asymptotic setting by LOCC when neither the initial nor the target state is maximally entangled. We derive the necessary and sufficient condition for the reversibility of LOCC conversions between two bipartite pure entangled states i...
متن کاملAsymptotic Entanglement Preservability of LOCC Conversions
Recently, entanglement concentration was shown to be irreversible. However, it is still not clear what kind of LOCC conversion is reversible. We derive the necessary and sufficient condition for the reversibility of LOCC conversions between two bipartite pure entangled states in the asymptotic setting. Moreover, conversion can be asymptotically achieved perfectly and reversibly with only local ...
متن کاملA combinatorial approach for studying LOCC transformations of multipartite states
We present a general framework for studying multi-particle entanglement using graph-theoretic methods. We introduce a technique called bicolored merging for determining combinatorial conditions that must be satisfied for two multiparticle states to be comparable under LOCC. We present several results concerning the possibility and impossibility of various state transformations of multi-partite ...
متن کاملEstimating the spectrum of a density matrix with LOCC
The problem of estimating the spectrum of a density matrix is considered. An LOCC measurement strategy is shown which is asymptotically optimal. This means that, for a very large number of copies, it becomes unnecessary to perform collective measurements which should be more difficult to implement in practice. PACS numbers: 03.65.Wj, 03.67.-a, 03.67.Mn
متن کاملDiscrete Spectrum Transformations
An important problem in ergodic theory is to find classifications of various types of measure preserving transformations. An example of this is the theorem of Ornstein that two Bernoulli shifts are isomorphic iff they have the same entropy. So a Bernoulli shift can be assigned a real number that completely determines its isomorphism type. Can this be done for other types of transformations? Per...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2020
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2019.2927555