31 citations · 65 across the 9 of their papers we have counts for
10 papers · 1 filter
Mereological Quantum Phase Transitions
Paolo Zanardi, Emanuel Dallas, Faidon Andreadakis
We introduce the novel concept of mereological quantum phase transition (m-QPTs). Our framework is based on a variational family of operator algebras defining generalized tensor pr…
An Exact Link between Nonlocal Nonstabilizerness and Operator Entanglement
Faidon Andreadakis, Paolo Zanardi
Nonstabilizerness is a quantum property of states associated with the non-Clifford resources required for their preparation. As a resource, nonstabilizerness complements entangleme…
Tensor Product Structure Geometry under Unitary Channels
Faidon Andreadakis, Paolo Zanardi
In quantum many-body systems, complex dynamics delocalize the physical degrees of freedom. This spreading of information throughout the system has been extensively studied in relat…
A Butterfly Effect in Encoding-Decoding Quantum Circuits
Emanuel Dallas, Faidon Andreadakis, Paolo Zanardi
The study of information scrambling has profoundly deepened our understanding of many-body quantum systems. Much recent research has been devote to understanding the interplay betw…
Operator Space Entangling Power of Quantum Dynamics and Local Operator Entanglement Growth in Dual-Unitary Circuits
Faidon Andreadakis, Emanuel Dallas, Paolo Zanardi
Operator entanglement is a well-established measure of operator complexity across a system bipartition. In this work, we introduce a measure for the ability of a unitary channel to…
Long-time Quantum Scrambling and Generalized Tensor Product Structures
Faidon Andreadakis, Emanuel Dallas, Paolo Zanardi
Much recent work has been devoted to the study of information scrambling in quantum systems. In this paper, we study the long-time properties of the algebraic out-of-time-order-cor…
Coherence generation, symmetry algebras and Hilbert space fragmentation
Faidon Andreadakis, Paolo Zanardi
Hilbert space fragmentation is a novel type of ergodicity breaking in closed quantum systems. Recently, an algebraic approach was utilized to provide a definition of Hilbert space…
Operational Quantum Mereology and Minimal Scrambling
Paolo Zanardi, Emanuel Dallas, Faidon Andreadakis +1
In this paper we will attempt to answer the following question: what are the natural quantum subsystems which emerge out of a system's dynamical laws? To answer this question we fi…
No ((n, k, d < 127)) code can violate the quantum Hamming bound
Emanuel Dallas, Faidon Andreadakis, Daniel Lidar
It is well-known that pure quantum error correcting codes (QECCs) are constrained by a quantum version of the Hamming bound. Whether impure codes also obey such a bound, however, r…
Scrambling of Algebras in Open Quantum Systems
Faidon Andreadakis, Namit Anand, Paolo Zanardi
Many quantitative approaches to the dynamical scrambling of information in quantum systems involve the study of out-of-time-ordered correlators (OTOCs). In this paper, we introduce…