Unifying Quantum Information Scrambling with Asymmetry
ORAL
Abstract
Out-of-time-ordered correlators are a versatile tool to study various notions of "quantumness" in many-body systems. From operator space entanglement to magic (nonstabilizerness) and quantum coherence. In this work, we use the resource theory of asymmetry to present a unified picture of information scrambling that naturally encodes all these entities as scrambling between a group algebra and its commutant.
Our operator algebraic framework allows us to go beyond traditional onsite symmetries and enables the detection of generalized symmetries such Hilbert-space fragmentation. Our framework also applies to Lindbladian symmetries and carefully captures the interplay between decoherence and information scrambling in open systems.
We highlight key examples where the presence of dissipative effects render traditional quantifiers of symmetry-breaking meaningless, thus highlighting the necessity of asymmetry measures for detecting symmetry-breaking.
We introduce a symmetry-resolved classical shadow technique to measure these monotones efficiently in experiments, including for non-Abelian charges. We discuss a tight HPC-QC integration scheme to measure these quantities in QPUs with hundreds of qubits.
And finally, we discuss potential connections with quantum thermodynamics of non-Abelian charges and entropy production.
Our operator algebraic framework allows us to go beyond traditional onsite symmetries and enables the detection of generalized symmetries such Hilbert-space fragmentation. Our framework also applies to Lindbladian symmetries and carefully captures the interplay between decoherence and information scrambling in open systems.
We highlight key examples where the presence of dissipative effects render traditional quantifiers of symmetry-breaking meaningless, thus highlighting the necessity of asymmetry measures for detecting symmetry-breaking.
We introduce a symmetry-resolved classical shadow technique to measure these monotones efficiently in experiments, including for non-Abelian charges. We discuss a tight HPC-QC integration scheme to measure these quantities in QPUs with hundreds of qubits.
And finally, we discuss potential connections with quantum thermodynamics of non-Abelian charges and entropy production.
–
Presenters
-
Namit Anand
- HPE Labs