13 citations · 18 across the 25 of their papers we have counts for
25 papers
Proof of the hiding conjecture for Gaussian boson sampling with an arbitrary number of squeezed input modes
Laura Shou, Alexey V. Gorshkov, Victor Galitski +1
Gaussian boson sampling (GBS) is a sampling task proposed to demonstrate quantum advantage. We consider Gaussian boson sampling on optical modes, with equally squeezed inpu…
High-Capacity Generalized Hopfield Networks
Victor Galitski
Generalized Hopfield networks are introduced where memories and neurons are continuous variables that lie on a Riemannian manifold. We explicitly focus on symmetric spaces associat…
Bogolyubov excitons as a microscopic origin of two-level systems
Andrey Grankin, Victor Galitski
Two-level systems (TLS) are a leading source of decoherence and dielectric loss in Josephson-junction qubits, yet their microscopic origin remains unresolved. We propose an intrins…
Quantum-stabilized patterns in a vector Hopfield network
Richard D. Barney, Sharba Bhattacharjee, Victor Galitski +2
We introduce the quantum vector Hopfield network, in which patterns are formed by orientations of quantum vector spins; quantum dynamics arise intrinsically from the non-commutativ…
Signatures of quantum chaos in phonon-polariton billiards
Yinan Dong, Felix Liu, Ekrem Demirboga +11
We use scanning near-field optical microscopy to image hyperbolic phonon polaritons in hexagonal boron nitride (hBN) billiards with integrable and chaotic geometries. In Sinai bill…
Depth dependence of entanglement and circuit complexity in random linear optical networks
Laura Shou, Joseph T. Iosue, Yu-Xin Wang +2
We study the growth of entanglement and circuit complexity in random passive linear optical networks as a function of the circuit depth. For entanglement dynamics, we start with an…
Tunable viscosity across the BCS-BEC crossover
Yunxiang Liao, Andrey Grankin, Archisman Panigrahi +2
Tunable interactions make ultracold quantum gases a unique platform for exploring hydrodynamic properties in the strongly correlated regime. Of particular interest are turbulent fl…
Measurement-Induced Quantum Neural Network
Paul Argyle, Djamil Lakhdar-Hamina, Sarah H. Miller +1
We introduce a measurement-induced quantum neural network (MINN), an adaptive monitored-circuit architecture in which mid-circuit measurement outcomes determine the entangling gate…
Ab Initio Random Matrix Theory of Molecular Electronic Structure
Zhen Tao, Victor Galitski
We use ab initio electronic-structure methods to investigate random-matrix theory (RMT) universality in molecular electronic structure. Using single-reference electronic structure…
Exactly Solvable Topological Phase Transition in a Quantum Dimer Model
Laura Shou, Jeet Shah, Matthew Lerner-Brecher +3
We consider a family of generalized Rokhsar-Kivelson (RK) Hamiltonians, which are reverse-engineered to have an arbitrary edge-weighted superposition of dimer coverings as their ex…
Proof of hiding conjecture in Gaussian boson sampling
Laura Shou, Sarah H. Miller, Victor Galitski
Gaussian boson sampling (GBS) is a promising protocol for demonstrating quantum computational advantage. One of the key steps in the argument for classical hardness of GBS is the s…
Benchmarking a Tunable Quantum Neural Network on Trapped-Ion and Superconducting Hardware
Djamil Lakhdar-Hamina, Xingxin Liu, Richard Barney +4
We implement a quantum generalization of a neural network on trapped-ion and IBM superconducting quantum computers to classify MNIST images, a common benchmark in computer vision.…
Breakdown of the thermodynamic limit in quantum spin and dimer models
Jeet Shah, Laura Shou, Jeremy Shuler +1
The thermodynamic limit is foundational to statistical mechanics, underlying our understanding of many-body phases. It assumes that, as the system size grows infinitely at fixed de…
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…
Natural Quantization of Neural Networks
Richard Barney, Djamil Lakhdar-Hamina, Victor Galitski
We propose a natural quantization of a standard neural network, where the neurons correspond to qubits and the activation functions are implemented via quantum gates and measuremen…
A quantum monomer-dimer model on Penrose tilings
Jeet Shah, Gautam Nambiar, Alexey V. Gorshkov +1
We define a quantum monomer-dimer model in the space of maximal dimer coverings of quasicrystalline Penrose tilings. Since Penrose tilings do not admit perfect dimer coverings, as…
Geometric Delocalization in Two Dimensions
Laura Shou, Alireza Parhizkar, Victor Galitski
We demonstrate the existence of transient two-dimensional surfaces where a random-walking particle escapes to infinity in contrast to localization in standard flat 2D space. We fir…
Enhanced Cooper pairing in nano-patterned metals
Masoud Mohammadi-Arzanagh, Andrey Grankin, Victor Galitski +1
Nano-patterning has been shown to be a powerful tool for manipulating the vibrational modes of elastic structures, with applications such as optical-mechanical mode coupling. Inspi…
Slow Relaxation in a Glassy Quantum Circuit
Richard D. Barney, Yunxiang Liao, Victor Galitski
Quantum circuits have become a powerful tool in the study of many-body quantum physics, providing insights into both fast-thermalizing chaotic and non-thermalizing integrable many-…
Zero Flux Localization: Magic Revealed
Alireza Parhizkar, Victor Galitski
Flat bands correspond to the spatial localization of a quantum particle moving in a field with discrete or continuous translational invariance. The canonical example is the flat La…
Neural Networks as Spin Models: From Glass to Hidden Order Through Training
Richard Barney, Michael Winer, Victor Galitski
We explore a one-to-one correspondence between a neural network (NN) and a statistical mechanical spin model where neurons are mapped to Ising spins and weights to spin-spin coupli…
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…
The Glass Transition of Quantum Hard Spheres in High Dimensions
Michael Winer, Christopher L. Baldwin, Richard Barney +2
We study the equilibrium thermodynamics of quantum hard spheres in the infinite-dimensional limit, determining the boundary between liquid and glass phases in the temperature-densi…