Decoding the Projective Transverse Field Ising Model

التفاصيل البيبلوغرافية
العنوان: Decoding the Projective Transverse Field Ising Model
المؤلفون: Roser, Felix, Büchler, Hans Peter, Lang, Nicolai
سنة النشر: 2023
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics
الوصف: The competition between non-commuting projective measurements in discrete quantum circuits can give rise to entanglement transitions. It separates a regime where initially stored quantum information survives the time evolution from a regime where the measurements destroy the quantum information. Here we study one such system - the projective transverse field Ising model - with a focus on its capabilities as a quantum error correction code. The idea is to interpret one type of measurement as an error and the other type as a syndrome measurement. We demonstrate that there is a finite threshold below which quantum information encoded in an initially entangled state can be retrieved reliably. In particular, we implement the maximum likelihood decoder to demonstrate that the error correction threshold is distinct from the entanglement transition. This implies that there is a finite regime where quantum information is protected by the projective dynamics, but cannot be retrieved by using syndrome measurements.
Comment: 18 pages, 9 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevB.107.214201
URL الوصول: http://arxiv.org/abs/2303.03081
رقم الأكسشن: edsarx.2303.03081
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevB.107.214201