Conditions for uniqueness of product representations for separable quantum channels and separable quantum states
نویسندگان
چکیده
منابع مشابه
Explicit product ensembles for separable quantum states
We present a general method for constructing pure-product-state representations for density operators of N quantum bits. If such a representation has nonnegative expansion coefficients, it provides an explicit separable ensemble for the density operator. We derive the condition for separability of a mixture of the GreenbergerHorne-Zeilinger state with the maximally mixed state.
متن کاملQuantum broadcast channels and cryptographic applications for separable states
Quantum information-theoretic models of secret source-sharing are developed using a general LOCC scheme, i.e. a protocol involving only local operations and classical communication. This is in order to generate a common random key from a shared quantum state at two terminals without allowing an eavesdropper to obtain information about this key. Coding theorems for special separable states are o...
متن کاملThe automorphism group of separable states The automorphism group of separable states in quantum information theory
The automorphism group of separable states in quantum information theory Shmuel Friedland, a) Chi-Kwong Li, b) Yiu-Tung Poon, c) and Nung-Sing Sze d) Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USA Department of Mathematics, College of William & Mary, Williamsburg, VA 23187-8795, USA Department of Mathematics, Iowa...
متن کاملdevelopment of different optical methods for determination of glucose using cadmium telluride quantum dots and silver nanoparticles
a simple, rapid and low-cost scanner spectroscopy method for the glucose determination by utilizing glucose oxidase and cdte/tga quantum dots as chromoionophore has been described. the detection was based on the combination of the glucose enzymatic reaction and the quenching effect of h2o2 on the cdte quantum dots (qds) photoluminescence.in this study glucose was determined by utilizing glucose...
On the Bures Volume of Separable Quantum States
We obtain two sided estimates for the Bures volume of an arbitrary subset of the set of N ×N density matrices, in terms of the Hilbert-Schmidt volume of that subset. For general subsets, our results are essentially optimal (for large N). As applications, we derive in particular nontrivial lower and upper bounds for the Bures volume of sets of separable states and for sets of states with positiv...
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: Journal of Mathematical Physics
سال: 2014
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4883400