3 citations · 10 across the 19 of their papers we have counts for
22 papers
Deciding the Attainability of the Multiparameter Quantum Fisher Information is NP-Hard
Lorcan O. Conlon, Laura Shou, V Vijendran +7
The quantum Fisher information (QFI) sets a fundamental bound on the attainable precision when estimating multiple parameters simultaneously. Incompatibility among the individually…
A constructive violation of additivity of minimum output von Neumann entropy
Laura Shou, Alexey V. Gorshkov
We give an explicit non-random example of nonadditivity of minimum output von Neumann entropy. The proof uses a finite-dimensional construction which imitates free Haar unitary beh…
Log-depth entanglement transition in hypercube Gaussian boson sampling
Laura Shou, Alexey V. Gorshkov
We study an entanglement transition at logarithmic depth in random hypercube linear optical networks. Starting from an initial Gaussian state with all modes squeezed, we prove that…
Anticoncentration and entanglement in Gaussian boson sampling
Laura Shou, Adam Ehrenberg, Yu-Xin Wang +2
Anticoncentration and entanglement are two properties used to study classical hardness or easiness of Gaussian boson sampling in varying regimes. In this paper, we consider three d…
Fast GHZ encoding with fidelity
Laura Shou, T. C. Mooney, Twesh Upadhyaya +1
We prove that -fidelity -qubit Greenberger--Horne--Zeilinger (GHZ) encoding can be performed in time using all-to-all 2-local Hamiltonians with bounded 2…
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…
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…
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…
Quantum variance and fluctuations for Walsh-quantized baker's maps
Laura Shou
The Walsh-quantized baker's maps are models for quantum chaos on the torus. We show that for all baker's map scaling factors except for , typically (in the sense of Ha…
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…
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…
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…
Landscape estimates of the integrated density of states for Jacobi operators on graphs
Laura Shou, Wei Wang, Shiwen Zhang
We show the integrated density of states for a variety of Jacobi operators on graphs, such as the Anderson model and random hopping models on graphs with Gaussian heat kernel bound…
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…
A localization-delocalization transition for nonhomogeneous random matrices
Laura Shou, Ramon van Handel
We consider self-adjoint Gaussian random matrices defined by an arbitrary deterministic sparsity pattern with nonzero entries per row. We show that such random matr…
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…
Eigenstates and spectral projection for quantized baker's map
Laura Shou
We extend the approach from [arXiv:2110.15301] to prove windowed spectral projection estimates and a generalized Weyl law for the (Weyl) quantized baker's map on the torus. The spe…
Landscape approximation of the ground state eigenvalue for graphs and random hopping models
Laura Shou, Wei Wang, Shiwen Zhang
We consider the localization landscape function and ground state eigenvalue for operators on graphs. We first show that the maximum of the landscape function is comparable…
Pointwise Weyl law for graphs from quantized interval maps
Laura Shou
We prove an analogue of the pointwise Weyl law for families of unitary matrices obtained from quantization of one-dimensional interval maps. This quantization for interval maps was…
Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials
C. A. Marx, L. H. Shou, J. L. Wellens
We give a criterion implying subcritical behavior for quasi-periodic Schrödinger operators where the potential sampling function is given by a trigonometric polynomial. Subcritical…
Trace formulas for Schrödinger operators on star graphs
Semra Demirel-Frank, Laura Shou
We derive trace formulas of the Buslaev-Faddeev type for quantum star graphs. One of the new ingredients is high energy asymptotics of the perturbation determinant.