Zobrazeno 1 - 10
of 179
pro vyhledávání: '"Fawzi, Hamza"'
Quantum relative entropy programs are convex optimization problems which minimize a linear functional over an affine section of the epigraph of the quantum relative entropy function. Recently, the self-concordance of a natural barrier function was pr
Externí odkaz:
http://arxiv.org/abs/2407.00241
Publikováno v:
Nature Communications 15, 7394 (2024)
We design algorithms for computing expectation values of observables in the equilibrium states of local quantum Hamiltonians, both at zero and positive temperature. The algorithms are based on hierarchies of convex relaxations over the positive semid
Externí odkaz:
http://arxiv.org/abs/2311.18706
Publikováno v:
Quantum 8, 1314 (2024)
The quantum rate-distortion function plays a fundamental role in quantum information theory, however there is currently no practical algorithm which can efficiently compute this function to high accuracy for moderate channel dimensions. In this paper
Externí odkaz:
http://arxiv.org/abs/2309.15919
The Blahut-Arimoto algorithm is a well-known method to compute classical channel capacities and rate-distortion functions. Recent works have extended this algorithm to compute various quantum analogs of these quantities. In this paper, we show how th
Externí odkaz:
http://arxiv.org/abs/2306.04492
Autor:
Faust, Oisín, Fawzi, Hamza
Operator convex functions defined on the positive half-line play a prominent role in the theory of quantum information, where they are used to define quantum $f$-divergences. Such functions admit integral representations in terms of rational function
Externí odkaz:
http://arxiv.org/abs/2305.12405
Publikováno v:
J. Math. Phys. 65, 032201 (2024)
We study the use of von Neumann entropy constraints for obtaining lower bounds on the ground energy of quantum many-body systems. Known methods for obtaining certificates on the ground energy typically use consistency of local observables and are exp
Externí odkaz:
http://arxiv.org/abs/2305.06855
Publikováno v:
Quantum 7, 1011 (2023)
We introduce a classical algorithm to approximate the free energy of local, translation-invariant, one-dimensional quantum systems in the thermodynamic limit of infinite chain size. While the ground state problem (i.e., the free energy at temperature
Externí odkaz:
http://arxiv.org/abs/2209.14989
Autor:
Fawzi, Hamza, Saunderson, James
Quantum relative entropies are jointly convex functions of two positive definite matrices that generalize the Kullback-Leibler divergence and arise naturally in quantum information theory. In this paper, we prove self-concordance of natural barrier f
Externí odkaz:
http://arxiv.org/abs/2205.04581
Autor:
Fawzi, Hamza, Fawzi, Omar
The squashed entanglement is a widely used entanglement measure that has many desirable properties. However, as it is based on an optimization over extensions of arbitrary dimension, one drawback of this measure is the lack of good algorithms to comp
Externí odkaz:
http://arxiv.org/abs/2203.03394
Publikováno v:
Quantum 8, 1445 (2024)
The rates of several device-independent (DI) protocols, including quantum key-distribution (QKD) and randomness expansion (RE), can be computed via an optimization of the conditional von Neumann entropy over a particular class of quantum states. In t
Externí odkaz:
http://arxiv.org/abs/2106.13692