80 citations · 227 across the 16 of their papers we have counts for
16 papers
Aperiodicity is sufficient for macroscopic thermalization
Amit Vikram
We identify a general mechanism for the finite-time thermalization of macroscopic observables, such as coarse-grained charge densities, in terms of elementary forms of the quantum…
Non-perturbative saturation of Krylov complexity, and its implications in quantum gravity
Andrew Lucas, Amit Vikram
We study the dynamics of Krylov state complexity in finite-dimensional quantum systems. Orthogonal polynomials built on a discrete energy spectrum crowd away from regions where the…
Provable quantum thermalization without statistical averages
Amit Vikram
We develop a rigorous system-agnostic method to predict quantum thermalization in an overwhelming fraction of accessible pure states in a many-body system, entirely in terms of cer…
Bidirectional teleportation using scrambling dynamics: a practical protocol
Amit Vikram, Edwin Chaparro, Muhammad Miskeen Khan +3
We show that quantum information scrambling can enable a generic SWAP gate between collective degrees of freedom in systems without universal local control. Our protocol combines t…
Enhanced entanglement from quantum ergodicity
Amit Vikram
The quantum chaos conjecture associates the spectral statistics of a quantum system with abstract notions of quantum ergodicity. Such associations are taken to be of fundamental an…
On the reconstruction map in JT gravity
Chris Akers, Andrew Lucas, Amit Vikram
An open question in AdS/CFT is how to reconstruct semiclassical bulk operators precisely enough that non-perturbative quantum effects can be computed. We propose a set of physicall…
A discrete Fourier transform based quantum circuit for modular multiplication in Shor's algorithm
Abu Musa Patoary, Amit Vikram, Victor Galitski
Shor's algorithm for the prime factorization of numbers provides an exponential speedup over the best known classical algorithms. However, nontrivial practical applications have re…
Bypassing eigenstate thermalization with experimentally accessible quantum dynamics
Amit Vikram
Eigenstate thermalization has played a prominent role as a determiner of the validity of quantum statistical mechanics since von Neumann's early works on quantum ergodicity. Howeve…
Proof of a Universal Speed Limit on Fast Scrambling in Quantum Systems
Amit Vikram, Laura Shou, Victor Galitski
We prove that the time required for sustained information scrambling in any Hamiltonian quantum system is universally at least logarithmic in the entanglement entropy of scrambled…
Spectral anomalies and broken symmetries in maximally chaotic quantum maps
Laura Shou, Amit Vikram, Victor Galitski
Spectral statistics such as the level spacing statistics and spectral form factor (SFF) are widely expected to accurately identify ``ergodicity'', including the presence of underly…
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…
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…
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)…
Many-body level statistics of single-particle quantum chaos
Yunxiang Liao, Amit Vikram, Victor Galitski
We consider a non-interacting many-fermion system populating levels of a unitary random matrix ensemble (equivalent to the q=2 complex Sachdev-Ye-Kitaev model) - a generic model of…
Quantum Correlators in Friedmann Spacetimes -The omnipresent de Sitter and the invariant vacuum noise
Kinjalk Lochan, Karthik Rajeev, Amit Vikram +1
We discuss several aspects of quantum field theory of a scalar field in a Friedmann universe, clarifying and highlighting several conceptual and technical issues. (A) We show that…