Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Schwonnek, René"'
Autor:
Koßmann, Gereon, Schwonnek, René
This paper introduces a numerical framework for establishing lower bounds on the conditional von-Neumann entropy in device-independent quantum cryptography and randomness extraction scenarios. Leveraging a hierarchy of semidefinite programs derived f
Externí odkaz:
http://arxiv.org/abs/2411.04858
We present a unified quantum-classical framework for addressing NP-complete constrained combinatorial optimization problems, generalizing the recently proposed Quantum Conic Programming (QCP) approach. Accordingly, it inherits many favorable properti
Externí odkaz:
http://arxiv.org/abs/2411.00435
Autor:
Koßmann, Gereon, Schwonnek, René
Finding the minimal relative entropy of two quantum states under semi definite constraints is a pivotal problem located at the mathematical core of various applications in quantum information theory. In this work, we provide a method that addresses t
Externí odkaz:
http://arxiv.org/abs/2404.17016
Optimisation via parameterised quantum circuits is the prevalent technique of near-term quantum algorithms. However, the omnipresent phenomenon of barren plateaus - parameter regions with vanishing gradients - sets a persistent hurdle that drasticall
Externí odkaz:
http://arxiv.org/abs/2310.04255
Semidefinite Optimization has become a standard technique in the landscape of Mathematical Programming that has many applications in finite dimensional Quantum Information Theory. This paper presents a way for finite-dimensional relaxations of genera
Externí odkaz:
http://arxiv.org/abs/2309.13966
Publikováno v:
PRX Quantum 5, 020318, 2024
The interplay between the quantum state space and a specific set of measurements can be effectively captured by examining the set of jointly attainable expectation values. This set is commonly referred to as the (convex) joint numerical range. In thi
Externí odkaz:
http://arxiv.org/abs/2308.00753
Publikováno v:
Commun. Math. Phys. 405, 152 (2024)
In quantum information theory, the Schmidt rank is a fundamental measure for the entanglement dimension of a pure bipartite state. Its natural definition uses the Schmidt decomposition of vectors on bipartite Hilbert spaces, which does not exist (or
Externí odkaz:
http://arxiv.org/abs/2307.11619
Autor:
Rotundo, Antonio F., Schwonnek, René
The entropic uncertainty principle in the form proven by Maassen and Uffink yields a fundamental inequality that is prominently used in many places all over the field of quantum information theory. In this work, we provide a family of versatile gener
Externí odkaz:
http://arxiv.org/abs/2303.11382
Publikováno v:
New J. Phys. 26 (2024) 073001
The Quantum Alternating Operator Ansatz (QAOA) and its predecessor, the Quantum Approximate Optimization Algorithm, are one of the most widely used quantum algorithms for solving combinatorial optimization problems. However, as there is yet no rigoro
Externí odkaz:
http://arxiv.org/abs/2302.04968
Publikováno v:
Phys. Rev. Lett. 131, 010201 (2023)
High-dimensional quantum steering can be seen as a test for the dimensionality of entanglement, where the devices at one side are not characterized. As such, it is an important component in quantum informational protocols that make use of high-dimens
Externí odkaz:
http://arxiv.org/abs/2212.12544