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Semidefinite programming relaxations for quantum correlations
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …
function and a domain of positive-semidefinite matrices. Over the past two decades, they …
Catalysis of entanglement and other quantum resources
In chemistry, a catalyst is a substance which enables a chemical reaction or increases its
rate, while remaining unchanged in the process. Instead of chemical reactions, quantum …
rate, while remaining unchanged in the process. Instead of chemical reactions, quantum …
Coherence as a Resource for Shor's Algorithm
Shor's factoring algorithm provides a superpolynomial speedup over all known classical
factoring algorithms. Here, we address the question of which quantum properties fuel this …
factoring algorithms. Here, we address the question of which quantum properties fuel this …
Operational resource theory of imaginarity
Wave-particle duality is one of the basic features of quantum mechanics, giving rise to the
use of complex numbers in describing states of quantum systems and their dynamics and …
use of complex numbers in describing states of quantum systems and their dynamics and …
General resource theories in quantum mechanics and beyond: Operational characterization via discrimination tasks
We establish an operational characterization of general convex resource theories—
describing the resource content of not only states but also measurements and channels …
describing the resource content of not only states but also measurements and channels …
Quantifying quantum speedups: Improved classical simulation from tighter magic monotones
Consumption of magic states promotes the stabilizer model of computation to universal
quantum computation. Here, we propose three different classical algorithms for simulating …
quantum computation. Here, we propose three different classical algorithms for simulating …
No second law of entanglement manipulation after all
Many fruitful analogies have emerged between the theories of quantum entanglement and
thermodynamics, motivating the pursuit of an axiomatic description of entanglement akin to …
thermodynamics, motivating the pursuit of an axiomatic description of entanglement akin to …
Resource theory of imaginarity: Quantification and state conversion
Complex numbers are widely used in both classical and quantum physics and are
indispensable components for describing quantum systems and their dynamical behavior …
indispensable components for describing quantum systems and their dynamical behavior …
Resource theory of quantum scrambling
Quantum chaos has become a cornerstone of physics through its many applications. One
trademark of quantum chaotic systems is the spread of local quantum information, which …
trademark of quantum chaotic systems is the spread of local quantum information, which …
Experimental progress on quantum coherence: detection, quantification, and manipulation
Quantum coherence is a fundamental property of quantum systems, separating quantum
from classical physics. Recently, there has been significant interest in the characterization of …
from classical physics. Recently, there has been significant interest in the characterization of …