• Corpus ID: 222090159

Asymptotic state transformations of continuous variable resources

  title={Asymptotic state transformations of continuous variable resources},
  author={Giovanni Ferrari and Ludovico Lami and Thomas Theurer and Martin Bodo Plenio},
  journal={arXiv: Quantum Physics},
We prove that strongly superadditive monotones can be used to bound asymptotic state transformation rates in continuous variable resource theories. This removes the need for asymptotic continuity, which is typically lost in infinite-dimensional settings. We consider three applications, to the resource theories of (I) optical nonclassicality, (II) entanglement, and (III) quantum thermodynamics. In cases (II) and (III), the employed monotones are the squashed entanglement and the free energy… 

Figures from this paper

Computable lower bounds on the entanglement cost of quantum channels
This work establishes a lower bound for the entanglement cost of any channel, whether finite or infinite dimensional, that is computable as a semidefinite program and that can outperform previously known lower bounds, including ones based on quantum relative entropy.
Tight constraints on probabilistic convertibility of quantum states
We develop two general approaches to characterising the manipulation of quantum states by means of probabilistic protocols constrained by the limitations of some quantum resource theory. First, we
Probabilistic Transformations of Quantum Resources.
This work introduces a new resource monotone that obeys a very strong type of monotonicity that can rule out all transformations, probabilistic or deterministic, between states in any quantum resource theory, and strengthens previous findings and extends recent no-go theorems.
One-Shot Manipulation of Entanglement for Quantum Channels
It is shown that the dynamic resource theory of quantum entanglement can be formulated using the superchannel theory, and the separable channels and the class of free superchannels that preserve channel separability as free resources are identified.
On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
We show that the proof of the generalised quantum Stein’s lemma [Brandão & Plenio, Commun. Math. Phys. 295, 791–828 (2010)] is not correct due to a gap in the argument leading to Lemma III.9. Hence,
Non-Markovianity boosts the efficiency of bio-molecular switches
Quantum resource theory formulations of thermodynamics offer a versatile tool for the study of fundamental limitations to the efficiency of physical processes, independently of the microscopic
How squeezed states both maximize and minimize the same notion of quantumness
Beam splitters are routinely used for generating entanglement between modes in the optical and microwave domains, requiring input states that are not convex combinations of coherent states. This
An introductory review on resource theories of generalized nonclassical light
  • S. Dey
  • Physics
    Journal of Physics: Conference Series
  • 2021
Quantum resource theory is perhaps the most revolutionary framework that quantum physics has ever experienced. It plays vigorous roles in unifying the quantification methods of a requisite quantum
Operational Quantification of Continuous-Variable Quantum Resources.
It is shown that the robustness constitutes a well-behaved, bona fide resource quantifier in any convex resource theory, contrary to a related negativity-based measure known as the standard robustness.
Framework for resource quantification in infinite-dimensional general probabilistic theories
This work defines a universal resource quantifier based on the robustness measure, and shows it to admit a direct operational meaning: in any GPT, it quantifies the advantage that a given resource state enables in channel discrimination tasks over all resourceless states.


Probabilistic and Statistical Aspects of Quantum Theory
Foreword to 2nd English edition.- Foreword to 2nd Russian edition.- Preface.- Chapters: I. Statistical Models.- II. Mathematics of Quantum Theory.- III. Symmetry Groups in Quantum Mechanics.- IV.
Elements of Information Theory
The author examines the role of entropy, inequality, and randomness in the design of codes and the construction of codes in the rapidly changing environment.
Principles of mathematical analysis
Chapter 1: The Real and Complex Number Systems Introduction Ordered Sets Fields The Real Field The Extended Real Number System The Complex Field Euclidean Spaces Appendix Exercises Chapter 2: Basic
An Introduction to Banach Space Theory
1 Basic Concepts.- 1.1 Preliminaries.- 1.2 Norms.- 1.3 First Properties of Normed Spaces.- 1.4 Linear Operators Between Normed Spaces.- 1.5 Baire Category.- 1.6 Three Fundamental Theorems.- 1.7