Detecting Quantum Entanglement: Positive Maps and Entanglement Witnesses

نویسنده

  • Dariusz Chruściński
چکیده

The interest on quantum entanglement has dramatically increased during the last 2 decades due to the emerging field of quantum information theory. It turns out that quantum entanglement may be used as basic resources in quantum information processing and communication. The prominent examples are quantum cryptography, quantum teleportation, quantum error correction codes, and quantum computation. Since the quantum entanglement is the basic resource for the new quantum information technologies, it is therefore clear that there is a considerable interest in efficient theoretical and experimental methods of entanglement detection.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Entanglement Witnesses Arising from Exposed Positive Linear Maps

We consider entanglement witnesses arising from positive linear maps which generate exposed extremal rays. We show that every entanglement can be detected by one of these witnesses, and this witness detects a unique set of entanglement among those. Therefore, they provide a minimal set of witnesses to detect all entanglement in a sense. Furthermore, if those maps are indecomposable then they de...

متن کامل

Spectral conditions for positive maps and entanglement witnesses

We provide partial classification of entanglement witnesses and positive maps which is based on a family of spectral conditions. Interestingly many well known examples of positive maps (e.g. transposition, reduction map, the family of Choi maps) belong to the class constructed via spectral conditions.

متن کامل

On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps

We construct a new class of positive indecomposable maps in the algebra of d × d complex matrices. Each map is uniquely characterized by a cyclic bistochastic matrix. This class generalizes a Choi map for d = 3. It provides a new reach family of indecomposable entanglement witnesses which define important tool for investigating quantum entanglement.

متن کامل

N ov 2 00 7 A class of positive atomic maps

We construct a new class of positive indecomposable maps in the algebra of d×d complex matrices. These maps are characterized by the ‘weakest’ positivity property and for this reason they are called atomic. This class provides a new reach family of atomic entanglement witnesses which define important tool for investigating quantum entanglement. It turns out that they are able to detect states w...

متن کامل

Entanglement Witnesses for a Class of Bipartite States of n × n Qubits

Entangled quantum states are among the most important physical resources in the manifold applications of quantum information theory [1]; from a mathematical point of view, entanglement is closely related to positive and completely positive linear maps on operator algebras. In the following, we shall consider finite dimensional bipartite quantum systems described by Hilbert spaces C n ⊗ C2n : in...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013