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Classical Limits on Quantum Information Processing—100 Years of Heisenberg Uncertainty

A Special Issue of Entropy (ISSN 1099-4300) belonging to the section "Quantum Information".

Deadline for manuscript submissions: 14 April 2027 | Viewed by 706

Editors


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Guest Editor
1. Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USA
2. Quantum Science Institute, University of Maryland, Baltimore County, Baltimore, MD 21250, USA
Interests: Brownian motion; quantum thermodynamics; theoretical physics; statistical physics; quantum control; quantum speed limit; shortcuts to adiabaticity; quantum information theory; foundations of physics
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
1. Department of Physics, University of Massachusetts, Boston, MA 02125, USA
2. Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USA
3. Quantum Science Institute, University of Maryland, Baltimore County, Baltimore, MD 21250, USA
Interests: quantum information; quantum computing; statistical physics; thermodynamics; computational physics

E-Mail Website
Guest Editor
1. Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USA
2. Quantum Science Institute, University of Maryland, Baltimore County, Baltimore, MD 21250, USA
Interests: quantum many-body systems; quantum chaos and random-matrix theory; quantum information science

Special Issue Information

Dear Colleagues,

One of the most prominent hallmarks of Quantum Mechanics are the so-called Heisenberg uncertainty relations. First published in 1927, these uncertainty relations express that contrary to the creed of classical measurements, canonically conjugate variables of a quantum system cannot be determined with infinite precision from simultaneous observation. The most famous version of this uncertainty relation is typically written as:

xp ≥ ħ/2

Here, x is the position, p is the momentum of a quantum object, and ħ is Planck’s constant. While expressing the Heisenberg uncertainty principle for position and momentum is the most famous version, similar relations hold for any pair of non-commuting observables.

Over the last century, understanding this quantum uncertainty has been at the core of research in foundational physics as well as the driving force behind the quantum technological revolution. In a more modern approach, Heisenberg uncertainty is not only understood as a consequence of non-commuting observables, but rather at the inherent inability of classical observers to extract the complete quantum information. Further to being an experimental obstacle and practical measurement limitation, this reframes Heisenberg uncertainty as a fundamental structural constraint governing how information can be distributed and accessed within the quantum state space.

This Special Issue is dedicated to the fundamental limits on the processing and dynamics of dynamics, and its corresponding quantum-to-classical transition. To this end, “Classical Limits on Quantum Information Processing—100 Years of Heisenberg Uncertainty” collects articles dedicated to the emergent classical behavior in quantum information dynamics. This includes, in particular, contributions to:

  • Quantum Darwinism
  • Quantum to classical transition in information scrambling and chaos
  • Classical thermalization in complex quantum many body systems

Dr. Sebastian Deffner
Dr. Emery Doucet
Dr. Tara Kalsi
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • quantum Darwinism
  • Heisenberg uncertainty relations
  • uncertainty relations
  • quantum information dynamics

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Published Papers (1 paper)

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Research

20 pages, 2500 KB  
Article
Hidden Coherence Bursts and Time-Tagged Holevo Fragment Information Under Finite-Resolution Observation in a Central-Spin Environment
by David Rebollo-Martínez and Manuel Rebollo-Salas
Entropy 2026, 28(8), 842; https://doi.org/10.3390/e28080842 - 29 Jul 2026
Viewed by 409
Abstract
We study a structured QND central-spin testbed under a hybrid finite-resolution protocol. The central-spin state is temporally integrated without retaining the internal readout-time label, whereas environmental fragment information is quantified by a time-tagged scalar-averaged Holevo benchmark. On a converged numerical grid, we identify [...] Read more.
We study a structured QND central-spin testbed under a hybrid finite-resolution protocol. The central-spin state is temporally integrated without retaining the internal readout-time label, whereas environmental fragment information is quantified by a time-tagged scalar-averaged Holevo benchmark. On a converged numerical grid, we identify finite time regions in which the integrated central-spin state has low off-pointer visibility while model-resolved late-time coherence bursts remain present and the typical-fragment Holevo benchmark exceeds a prescribed threshold. A detector-window variance decomposition supplies a model-assisted diagnostic; it requires a fine-grained trajectory or a microscopic model. The Holevo quantity is an upper bound on accessible classical information, and no fragment measurement attaining it is constructed. Grid refinement, an independent trapezoidal quadrature, and a half-cell grid shift preserve the qualitative four-region baseline structure. A sampled-subset calculation benchmarks the typical-fragment classification, but we do not establish constructively disjoint or state-integrated fragment redundancy. A single-realization detector-width/disorder map and a 100-realization ensemble delimit the structured mesoscopic scope. The dimensional conversion is an NV-like scale estimate for an engineered quasi-homogeneous testbed and not an experimental protocol for an arbitrary natural bath. Full article
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