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Quantum information scrambling is a process happening during thermalization in quantum systems and describes the delocalization of quantum information. It is closely tied to entanglement, a key resource for quantum technologies and an order…

Quantum Physics · Physics 2024-08-07 Lea Haas , Christian Carisch , Oded Zilberberg

In a previous paper, we introduced a semi-device-independent scheme consisting of an untrusted source sending quantum states to an untrusted measuring device, with the sole assumption that the average energy of the states emitted by the…

Quantum Physics · Physics 2019-05-23 Thomas Van Himbeeck , Stefano Pironio

The quantum relative entropy is a fundamental quantity in quantum information science, characterizing the distinguishability between two quantum states. However, this quantity is not additive in general for correlated quantum states,…

Quantum Physics · Physics 2025-06-05 Kun Fang , Hamza Fawzi , Omar Fawzi

We study the dynamics of quantum memory assist entropy uncertainty for qutrit system coupled to an environment modeled by random matrices. The results show that the effect of relative coupling strength on entropy uncertainty is opposite in…

Quantum Physics · Physics 2019-12-02 Xu Xiong , Maofa Fang

Developing quantum technologies requires the control and understanding of the non-equilibrium dynamics of quantum information in many-body systems. Local information propagates in the system by creating complex correlations known as…

Quantum Physics · Physics 2021-12-08 Federico D. Domínguez , Gonzalo A. Álvarez

The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applied to following quantum statistical systems: nuclear…

Statistical Mechanics · Physics 2007-05-23 Maciej M. Duras

Magic states are key ingredients in schemes to realize universal fault-tolerant quantum computation. Theories of magic states attempt to quantify this computational element via monotones and determine how these states may be efficiently…

Quantum Physics · Physics 2022-04-28 Nikolaos Koukoulekidis , David Jennings

Quantum information theory and quantum computing are theoritical basis of quantum computers. Thanks to entanglement, quantum mechanical systems are provisioned to realize many information processing problems faster than classical…

Quantum Physics · Physics 2017-04-19 Volkan Erol

The characterization of nonstabilizerness is fruitful due to its application in gate synthesis and classical simulation. In particular, the resource monotone called the stabilizer extent is a useful tool to estimate the simulation cost…

Quantum Physics · Physics 2025-02-07 Hiroki Hamaguchi , Kou Hamada , Naoki Marumo , Nobuyuki Yoshioka

Ground states of quantum many-body systems are both entangled and possess a kind of quantum complexity as their preparation requires universal resources that go beyond the Clifford group and stabilizer states. These resources - sometimes…

Quantum Physics · Physics 2022-10-25 Salvatore F. E. Oliviero , Lorenzo Leone , Alioscia Hamma

A fundamental approach for the characterization and quantification of all kinds of resources is to study the conversion between different resource objects under certain constraints. Here we analyze, from a resource-non-specific standpoint,…

Quantum Physics · Physics 2019-07-11 Zi-Wen Liu , Kaifeng Bu , Ryuji Takagi

The random matrix ensembles (RME) of quantum statistical Hamiltonians, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applied in literature to following quantum statistical systems:…

Statistical Mechanics · Physics 2007-05-23 Maciej M. Duras

Resource theories provide a general framework for the characterization of properties of physical systems in quantum mechanics and beyond. Here, we introduce methods for the quantification of resources in general probabilistic theories…

Quantum Physics · Physics 2021-03-19 Ludovico Lami , Bartosz Regula , Ryuji Takagi , Giovanni Ferrari

Magic is a quantum resource essential for universal quantum computation and represents the deviation of quantum states from those that can be simulated efficiently using classical algorithms. Using the Stabilizer R\'enyi Entropy (SRE), we…

Quantum Physics · Physics 2026-01-14 Qiaofeng Liu , Ian Low , Zhewei Yin

We consolidate coherence, athermality, and nonuniformity as sub-resources within an underlying quantum resource theory: instability. We formulate instability axiomatically as the transient information within a decaying physical system.…

Quantum Physics · Physics 2026-02-23 Goni Yoeli , Gilad Gour

We introduce a nonstabilizerness monotone which we name basis-minimised stabilizerness asymmetry (BMSA). It is based on the notion of $G$-asymmetry, a measure of how much a certain state deviates from being symmetric with respect to a…

Quantum Physics · Physics 2025-09-03 Poetri Sonya Tarabunga , Martina Frau , Tobias Haug , Emanuele Tirrito , Lorenzo Piroli

With the advent of device independent quantum information processing, nonlocality is nowadays regarded as a resource to implement various tasks. On the analogy of entanglement theory we approach nonlocality from this perspective. In order…

Quantum Physics · Physics 2014-10-10 Julio I. de Vicente

Quantum resource theories provide a unified framework to quantitatively analyze inherent quantum properties as resources for quantum information processing. So as to investigate the best way for quantifying resources, desirable axioms for…

Quantum Physics · Physics 2023-09-22 Kohdai Kuroiwa , Hayata Yamasaki

Information-theoretic definitions for noise and disturbance in quantum measurements were given in Phys. Rev. Lett. 112, 050401 (2014) and a state-independent noise-disturbance uncertainty relation was obtained. Here, we derive a tight…

A characteristic feature of "quantum chaotic" systems is that their eigenspectra and eigenstates display universal statistical properties described by random matrix theory (RMT). However, eigenstates of local systems also encode structure…

Statistical Mechanics · Physics 2024-09-25 Joaquin F. Rodriguez-Nieva , Cheryne Jonay , Vedika Khemani