Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 28 min ago
PreprintCC BY-NC-ND 4.0arXiv

Conjugate measurement-induced evolution towards maximally mixed states in quadratic quantum systems

  • S. Adarsh
  • T. P. Sreeraj
Open at sourcePDFDOICite

Abstract

In an earlier work, we showed that, in the interaction-dominant setting, coupling the conjugate variables of a subsystem to distinct environment modes drives the subsystem to a maximally mixed state. Here, we extend the study to the full quadratic dynamics of a single-mode subsystem coupled to a two-mode environment, and identify the phase-space mechanism responsible for the asymptotic behavior. By tracking the exact reduced Weyl characteristic and Wigner functions, we demonstrate that they lose their dependence on local phase-space coordinates on every fixed compact region. In free-particle model, this happens for all values of coupling, whereas in the harmonic oscillator model, it happens above a critical value of the coupling. Under a finite-volume and momentum regularization, this behavior corresponds to the reduced subsystem approaching a maximally mixed state.

Related

  1. Impossible to conjugate or reflect an unknown quantum state via a unitary evolution
    Dafa Li
    arXivPreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv
  2. Measurement incompatibility in Bayesian quantum estimation beyond quadratic loss
    Francesco Albarelli, Stefano Chessa, Jesús Rubio
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
  3. Quadratic speed-up of quantum adiabatic evolution with engineered dissipation
    Yuanyang Zhou, Biao Wu
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
  4. Efficient Learning of Structured Fermionic States under General Quadratic Evolution
    Erfan Amidi, Ali Asadian, Ali Hamed Moosavian
    arXivPreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv
  5. Nonclassicality of a macroscopic qubit-ensemble via parity measurement induced disturbance
    Lorenzo Braccini, Debarshi Das, Ben Zindorf +3
    Physical Review ResearchPeer-reviewedCC BY 4.0Atomic, molecular & optical physicsAPS

Cite

BibTeXRIS
BibTeX
@misc{adarsh2026conjugate,
  title = {{Conjugate measurement-induced evolution towards maximally mixed states in quadratic quantum systems}},
  author = {S. Adarsh and T. P. Sreeraj},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25976},
  eprint = {2610.25976},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25976},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Conjugate measurement-induced evolution towards maximally mixed states in quadratic quantum systems
AU  - S. Adarsh
AU  - T. P. Sreeraj
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.25976
UR  - https://arxiv.org/abs/2610.25976
AB  - In an earlier work, we showed that, in the interaction-dominant setting, coupling the conjugate variables of a subsystem to distinct environment modes drives the subsystem to a maximally mixed state. Here, we extend the study to the full quadratic dynamics of a single-mode subsystem coupled to a two-mode environment, and identify the phase-space mechanism responsible for the asymptotic behavior. By tracking the exact reduced Weyl characteristic and Wigner functions, we demonstrate that they lose their dependence on local phase-space coordinates on every fixed compact region. In free-particle model, this happens for all values of coupling, whereas in the harmonic oscillator model, it happens above a critical value of the coupling. Under a finite-volume and momentum regularization, this behavior corresponds to the reduced subsystem approaching a maximally mixed state.
ER  -