Gilad Gour
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View article: Fundamental work costs of preparation and erasure in the presence of quantum side information
Fundamental work costs of preparation and erasure in the presence of quantum side information Open
The thought experiment of Maxwell's demon highlights the effect of side information in thermodynamics. In this paper, we present an axiomatic treatment of a quantum Maxwell's demon, by introducing a resource-theoretic framework of quantum …
View article: Induced Quantum Divergence: A New Lens on Communication and Source Coding
Induced Quantum Divergence: A New Lens on Communication and Source Coding Open
This paper introduces the induced divergence, a new quantum divergence measure that replaces the hypothesis testing divergence in position-based decoding, simplifying the analysis of quantum communication and state redistribution while yie…
View article: Convex Split Lemma without Inequalities
Convex Split Lemma without Inequalities Open
We introduce a refinement to the convex split lemma by replacing the max mutual information with the collision mutual information, transforming the inequality into an equality. This refinement yields tighter achievability bounds for quantu…
View article: Physical implementability for reversible magic state manipulation
Physical implementability for reversible magic state manipulation Open
Magic states are essential for achieving universal quantum computation, yet the reversibility and efficiency of exact magic state manipulations remain less explored. Here we show that magic states in odd dimensions can be exactly and rever…
View article: Inevitability of knowing less than nothing
Inevitability of knowing less than nothing Open
A colloquial interpretation of entropy is that it is the knowledge gained upon learning the outcome of a random experiment. Conditional entropy is then interpreted as the knowledge gained upon learning the outcome of one random experiment …
View article: Inevitable Negativity: Additivity Commands Negative Quantum Channel Entropy
Inevitable Negativity: Additivity Commands Negative Quantum Channel Entropy Open
Quantum channels represent a broad spectrum of operations crucial to quantum information theory, encompassing everything from the transmission of quantum information to the manipulation of various resources. In the domain of states, the co…
View article: Complete Characterization of Entanglement Embezzlement
Complete Characterization of Entanglement Embezzlement Open
Using local operations and classical communication (LOCC), entanglement can be manipulated but not created. However, entanglement can be . In this work, we completely characterize universal embezzling families and demonstrate how this sing…
View article: Physical Implementability for Reversible Magic State Manipulation
Physical Implementability for Reversible Magic State Manipulation Open
Magic states are essential for achieving universal quantum computation. This study introduces a reversible framework for the manipulation of magic states in odd dimensions, delineating a necessary and sufficient condition for the exact tra…
View article: Resources of the Quantum World
Resources of the Quantum World Open
This book delves into the burgeoning field of quantum resource theories, a novel and vibrant area of research within quantum information science that seeks to unify diverse quantum phenomena under a single framework. By recognizing various…
View article: Single-shot entanglement manipulation of states and channels revisited
Single-shot entanglement manipulation of states and channels revisited Open
We study entanglement distillation and dilution of states and channels in the single-shot regime. With the help of a recently introduced conversion distance, we provide compact closed-form expressions for the dilution and distillation of p…
View article: Thermodynamic state convertibility is determined by qubit cooling and heating
Thermodynamic state convertibility is determined by qubit cooling and heating Open
Thermodynamics plays an important role both in the foundations of physics and in technological applications. An operational perspective adopted in recent years is to formulate it as a quantum resource theory. At the core of this theory is …
View article: Erratum: Role of Quantum Coherence in Thermodynamics [PRX Quantum 3, 040323 (2022)]
Erratum: Role of Quantum Coherence in Thermodynamics [PRX Quantum 3, 040323 (2022)] Open
Received 9 September 2023DOI:https://doi.org/10.1103/PRXQuantum.4.040901Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must mainta…
View article: On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources Open
We show that the proof of the generalised quantum Stein's lemma [Brandão & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument leading to Lemma III.9. Hence, the main achievability result of Brandã…
View article: Strong majorization uncertainty relations and experimental verifications
Strong majorization uncertainty relations and experimental verifications Open
In spite of enormous theoretical and experimental progress in quantum uncertainty relations, the experimental investigation of the most current, and universal formalism of uncertainty relations, namely majorization uncertainty relations (M…
View article: Complete Characterization of Entanglement Embezzlement
Complete Characterization of Entanglement Embezzlement Open
Using local operations and classical communication (LOCC), entanglement can be manipulated but not created. However, entanglement can be embezzled. In this work, we completely characterize universal embezzling families and demonstrate how …
View article: Thermodynamic state convertibility is determined by qubit cooling and heating
Thermodynamic state convertibility is determined by qubit cooling and heating Open
Thermodynamics plays an important role both in the foundations of physics and in technological applications. An operational perspective adopted in recent years is to formulate it as a quantum resource theory. At the core of this theory is …
View article: Role of Quantum Coherence in Thermodynamics
Role of Quantum Coherence in Thermodynamics Open
We find necessary and sufficient conditions to determine the inter-convertibility of quantum systems under time-translation covariant evolution, and use it to solve several problems in quantum thermodynamics both in the single-shot and asy…
View article: Inevitability of knowing less than nothing
Inevitability of knowing less than nothing Open
A colloquial interpretation of entropy is that it is the knowledge gained upon learning the outcome of a random experiment. Conditional entropy is then interpreted as the knowledge gained upon learning the outcome of one random experiment …
View article: On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources Open
We show that the proof of the generalised quantum Stein's lemma [Brandão & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument leading to Lemma III.9. Hence, the main achievability result of Brandão & P…
View article: Quantifying dynamical magic with completely stabilizer preserving operations as free
Quantifying dynamical magic with completely stabilizer preserving operations as free Open
In this paper, we extend the resource theory of magic to the channel case by considering completely stabilizer preserving operations (CSPOs) as free. We introduce and characterize the set of CSPO preserving and completely CSPO preserving s…
View article: Covariant influences for discrete dynamical systems.
Covariant influences for discrete dynamical systems. Open
We develop a rigorous theory of external influences on discrete dynamical systems, going beyond the perturbation paradigm, in that the external influence need not be a small contribution. To do so, we introduce the notion of covariant infl…
View article: Covariant influences for finite discrete dynamical systems
Covariant influences for finite discrete dynamical systems Open
We develop a rigorous theory of external influences on finite discrete dynamical systems, going beyond the perturbation paradigm, in that the external influence need not be a small contribution. Indeed, the covariance condition can be stat…
View article: Ultimate Limits of Quantum Channel Discrimination.
Ultimate Limits of Quantum Channel Discrimination. Open
This paper studies the difficulty of discriminating quantum channels under operational regimes, proves the quantum channel Stein's lemma (strong converse part), and provides a unified framework to show the operational meaning of quantum ch…
View article: Towards the ultimate limits of quantum channel discrimination and quantum communication
Towards the ultimate limits of quantum channel discrimination and quantum communication Open
Distinguishability is fundamental to information theory and extends naturally to quantum systems. While quantum state discrimination is well understood, quantum channel discrimination remains challenging due to the dynamic nature of channe…
View article: Quantum conditional entropy from information-theoretic principles
Quantum conditional entropy from information-theoretic principles Open
We introduce an axiomatic approach for characterizing quantum conditional entropy. Our approach relies on two physically motivated axioms: monotonicity under conditional majorization and additivity. We show that these two axioms provide su…
View article: Symmetric distinguishability as a quantum resource
Symmetric distinguishability as a quantum resource Open
We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources, i.e. sources that emit one of two possible quantum states with given prior probabilities. Such a sou…
View article: Entanglement of a bipartite channel
Entanglement of a bipartite channel Open
The most general quantum object that can be shared between two distant parties is a bipartite channel, as it is the basic element to construct all quantum circuits. In general, bipartite channels can produce entangled states, and can be us…
View article: Entropy and Relative Entropy From Information-Theoretic Principles
Entropy and Relative Entropy From Information-Theoretic Principles Open
We introduce an axiomatic approach to entropies and relative entropies that\nrelies only on minimal information-theoretic axioms, namely monotonicity under\nmixing and data-processing as well as additivity for product distributions. We\nfi…
View article: What is Entropy? A new perspective from games of chance
What is Entropy? A new perspective from games of chance Open
Given entropy's central role in multiple areas of physics and science, one important task is to develop a systematic and unifying approach to defining entropy. Games of chance become a natural candidate for characterising the uncertainty o…
View article: What Are the Minimal Conditions Required to Define a Symmetric Informationally Complete Generalized Measurement?
What Are the Minimal Conditions Required to Define a Symmetric Informationally Complete Generalized Measurement? Open
Symmetric informationally complete (SIC) positive operator valued measures (POVMs) are a class of quantum measurements which, in addition to being informationally complete, satisfy three conditions: (1) every POVM element is rank one, (2) …