Single Qubit Error Mitigation by Simulating Non-Markovian Dynamics

التفاصيل البيبلوغرافية
العنوان: Single Qubit Error Mitigation by Simulating Non-Markovian Dynamics
المؤلفون: Rossini, Mirko, Maile, Dominik, Ankerhold, Joachim, Donvil, Brecht I. C
سنة النشر: 2023
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics
الوصف: Quantum simulation is a powerful tool to study the properties of quantum systems. The dynamics of open quantum systems are often described by Completely Positive (CP) maps, for which several quantum simulation schemes exist. We present a simulation scheme for open qubit dynamics described by a larger class of maps: the general dynamical maps which are linear, hermitian preserving and trace preserving but not necessarily positivity preserving. The latter suggests an underlying system-reservoir model where both are entangled and thus non-Markovian qubit dynamics. Such maps also come about as the inverse of CP maps. We illustrate our simulation scheme on an IBM quantum processor by showing that we can recover the initial state of a Lindblad evolution. This paves the way for a novel form of quantum error mitigation. Our scheme only requires one ancilla qubit as an overhead and a small number of one and two qubit gates.
Comment: 6 pages (+ 4 supplemental material). 4 figues
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevLett.131.110603
URL الوصول: http://arxiv.org/abs/2303.03268
رقم الأكسشن: edsarx.2303.03268
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevLett.131.110603