scholarly journals Quantum-Proof Randomness Extractors via Operator Space Theory

2017 ◽  
Vol 63 (4) ◽  
pp. 2480-2503 ◽  
Author(s):  
Mario Berta ◽  
Omar Fawzi ◽  
Volkher B. Scholz
Keyword(s):  
Operator Space ◽  
Space Theory ◽  
Randomness Extractors

scholarly journals Operator Space Theory: A Natural Framework for Bell Inequalities

2010 ◽  
Vol 104 (17) ◽  
Author(s):  
M. Junge ◽  
C. Palazuelos ◽  
D. Pérez-García ◽  
I. Villanueva ◽  
M. M. Wolf
Keyword(s):  
Bell Inequalities ◽  
Operator Space ◽  
Space Theory

SINGULAR INTEGRALS SUPPORTED BY SUBVARIETIES FOR VECTOR-VALUED FUNCTIONS

2017 ◽  
Vol 231 ◽  
pp. 101-114
Author(s):  
HONGHAI LIU
Keyword(s):  
Singular Integrals ◽  
Operator Space ◽  
Space Theory ◽  
Umd Space ◽  
Vector Valued Functions ◽  
Vector Valued

In this paper, we show that singular integrals supported by subvarieties are bounded on $L^{p}(\mathbb{R}^{n};\mathbf{X})$ for $1<p<\infty$ and some UMD space $\mathbf{X}$. In the terminology from operator space theory, we prove that singular integrals supported by subvarieties are completely $L^{p}$-bounded.

scholarly journals Survey on nonlocal games and operator space theory

2016 ◽  
Vol 57 (1) ◽  
pp. 015220 ◽  
Author(s):  
Carlos Palazuelos ◽  
Thomas Vidick
Keyword(s):  
Operator Space ◽  
Space Theory

scholarly journals Unbounded Violations of Bipartite Bell Inequalities via Operator Space Theory

2010 ◽  
Vol 300 (3) ◽  
pp. 715-739 ◽  
Author(s):  
M. Junge ◽  
C. Palazuelos ◽  
D. Pérez-García ◽  
I. Villanueva ◽  
M. M. Wolf
Keyword(s):  
Bell Inequalities ◽  
Operator Space ◽  
Space Theory

Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information

2019 ◽  
Vol 15 (2) ◽  
pp. 1293-1379
Author(s):  
Uwe Franz ◽  
Marius Junge ◽  
Gilles Pisier ◽  
Quanhua Xu
Keyword(s):  
Quantum Information ◽  
Quantum Probability ◽  
Operator Space ◽  
Space Theory

scholarly journals Polynomials in operator space theory: matrix ordering and algebraic aspects

Positivity ◽  
2017 ◽  
Vol 22 (2) ◽  
pp. 629-652 ◽  
Author(s):  
Preeti Luthra ◽  
Ajay Kumar ◽  
Vandana Rajpal
Keyword(s):  
Operator Space ◽  
Space Theory ◽  
Matrix Ordering
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