244 citations · 1k across the 24 of their papers we have counts for
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Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm
Abu Musa Patoary, Amit Vikram, Laura Shou +1
Shor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplicatio…
Exact universal bounds on quantum dynamics and fast scrambling
Amit Vikram, Victor Galitski
Quantum speed limits such as the Mandelstam-Tamm or Margolus-Levitin bounds offer a quantitative formulation of the energy-time uncertainty principle that constrains dynamics over…
Field theory approach to eigenstate thermalization in random quantum circuits
Yunxiang Liao, Victor Galitski
We use field-theoretic methods to explore the statistics of eigenfunctions of the Floquet operator for a large family of Floquet random quantum circuits. The correlation function o…
Dynamical quantum ergodicity from energy level statistics
Amit Vikram, Victor Galitski
Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is…
Effective field theory of random quantum circuits
Yunxiang Liao, Victor Galitski
Quantum circuits have been widely used as a platform to simulate generic quantum many-body systems. In particular, random quantum circuits provide a means to probe universal featur…
Probing many-body quantum chaos with quantum simulators
Lata Kh Joshi, Andreas Elben, Amit Vikram +3
The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs)…