17 citations · 43 across the 10 of their papers we have counts for
12 papers
Magic in Grover's Algorithm and the Role of Oracle Synthesis
Alessio Paviglianiti, Vincenzo Savona
Grover's algorithm is a textbook example of quantum advantage, providing a quadratic query speedup over classical methods for unstructured search. In this Letter, we characterize t…
Magic in quantum trajectory unravelings of noisy random quantum circuits
Sara Santos, Alessio Paviglianiti, Vincenzo Savona
The quantum-trajectory description of a noisy quantum circuit is not unique: every Kraus representation of the noise channel defines a different unraveling, i.e., a different ensem…
The true cost of factoring: Linking magic and number-theoretic complexity in Shor's algorithm
Alessio Paviglianiti, Matteo Seclì, Emanuele Tirrito +1
The execution cost of quantum algorithms is typically quantified through asymptotic gate counts and qubit register sizes, yet these metrics do not directly capture which genuinely…
Emergence of Generic Entanglement Structure in Doped Matchgate Circuits
Alessio Paviglianiti, Luca Lumia, Emanuele Tirrito +4
Free fermionic Gaussian, a.k.a. matchgate, random circuits exhibit atypical behavior compared to generic interacting systems. They produce anomalously slow entanglement growth, cha…
Magic phase transitions in monitored gaussian fermions
Emanuele Tirrito, Luca Lumia, Alessio Paviglianiti +4
Monitored quantum systems, where unitary dynamics compete with continuous measurements, exhibit dynamical transitions as the measurement rate is varied. These reflect abrupt change…
Enhancing Revivals Via Projective Measurements in a Quantum Scarred System
Alessio Paviglianiti, Alessandro Silva
Quantum many-body scarred systems exhibit atypical dynamical behavior, evading thermalization and featuring periodic state revivals. In this Letter, we investigate the impact of pr…
Breakdown of Measurement-Induced Phase Transitions Under Information Loss
Alessio Paviglianiti, Giovanni Di Fresco, Alessandro Silva +3
The dynamics of a quantum-many body system subject to measurements is naturally described by an ensemble of quantum trajectories, which can feature measurement-induced phase transi…
Estimating Non-Stabilizerness Dynamics Without Simulating It
Alessio Paviglianiti, Guglielmo Lami, Mario Collura +1
We introduce the Iterative Clifford Circuit Renormalization (ICCR), a novel technique designed to efficiently handle the dynamics of non-stabilizerness (a.k.a. quantum magic) in ge…
Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain
Alessio Paviglianiti, Xhek Turkeshi, Marco Schirò +1
Understanding the influence of measurements on the properties of many-body systems is a fundamental problem in quantum mechanics and for quantum technologies. This paper explores h…
Multipartite Entanglement in the Measurement-Induced Phase Transition of the Quantum Ising Chain
Alessio Paviglianiti, Alessandro Silva
External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition characterized by a change in behavior of the entanglement entropy from an a…
Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
Alessio Paviglianiti, Soumik Bandyopadhyay, Philipp Uhrich +1
Quantum scrambling plays an important role in understanding thermalization in closed quantum systems. By this effect, quantum information spreads throughout the system and becomes…
Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
Soumik Bandyopadhyay, Philipp Uhrich, Alessio Paviglianiti +1
Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal c…