580 citations · 2.3k across the 32 of their papers we have counts for
32 papers
Expansion creates spin-glass order in finite-connectivity models: a rigorous and intuitive approach from the theory of LDPC codes
Benedikt Placke, Grace M. Sommers, Nikolas P. Breuckmann +2
Complex free-energy landscapes with many local minima separated by large barriers are believed to underlie glassy behavior across diverse physical systems. This is the heuristic pi…
Finite-temperature quantum topological order in three dimensions
Shu-Tong Zhou, Meng Cheng, Tibor Rakovszky +2
We identify a three-dimensional system that exhibits long-range entanglement at sufficiently small but nonzero temperature--it therefore constitutes a quantum topological order at…
Topological Quantum Spin Glass Order and its realization in qLDPC codes
Benedikt Placke, Tibor Rakovszky, Nikolas P. Breuckmann +1
Ordered phases of matter have close connections to computation. Two prominent examples are spin glass order, with wide-ranging applications in machine learning and optimization, an…
Bottlenecks in quantum channels and finite temperature phases of matter
Tibor Rakovszky, Benedikt Placke, Nikolas P. Breuckmann +1
We prove an analog of the "bottleneck theorem," well-known for classical Markov chains, for Markovian quantum channels. In particular, we show that if two regions (subspaces) of Hi…
Spectral Properties Versus Magic Generation in -doped Random Clifford Circuits
Dominik Szombathy, Angelo Valli, Cătălin Paşcu Moca +4
We study the emergence of complexity in deep random -qubit -gate doped Clifford circuits, as reflected in their spectral properties and in magic generation, characterized by…
LDPC stabilizer codes as gapped quantum phases: stability under graph-local perturbations
Wojciech De Roeck, Vedika Khemani, Yaodong Li +2
We generalize the proof of stability of topological order, due to Bravyi, Hastings and Michalakis, to stabilizer Hamiltonians corresponding to low-density parity check (LDPC) codes…
Rare Events and Griffiths Phases in Topological Quantum Error Correction
Adithya Sriram, Nicholas O'Dea, Yaodong Li +2
The performance of quantum error correcting (QEC) codes are often studied under the assumption of spatio-temporally uniform error rates. On the other hand, experimental implementat…
Probing hydrodynamic crossovers with dissipation-assisted operator evolution
N. S. Srivatsa, Oliver Lunt, Tibor Rakovszky +1
Using artificial dissipation to tame entanglement growth, we chart the emergence of diffusion in a generic interacting lattice model for varying U(1) charge densities. We follow th…
The Physics of (good) LDPC Codes II. Product constructions
Tibor Rakovszky, Vedika Khemani
We continue the study of classical and quantum low-density parity check (LDPC) codes from a physical perspective. We focus on constructive approaches and formulate a general framew…
Entanglement Properties of Gauge Theories from Higher-Form Symmetries
Wen-Tao Xu, Tibor Rakovszky, Michael Knap +1
We explore the relationship between higher-form symmetries and entanglement properties in discrete lattice gauge theories, which can exhibit both topologically ordered phases and h…
The ballistic to diffusive crossover in a weakly-interacting Fermi gas
Jerome Lloyd, Tibor Rakovszky, Frank Pollmann +1
Charge and energy are expected to diffuse in interacting systems of fermions at finite temperatures, even in the absence of disorder, with the interactions inducing a crossover fro…
The Physics of (good) LDPC Codes I. Gauging and dualities
Tibor Rakovszky, Vedika Khemani
Low-depth parity check (LDPC) codes are a paradigm of error correction that allow for spatially non-local interactions between (qu)bits, while still enforcing that each (qu)bit int…
Defining stable phases of open quantum systems
Tibor Rakovszky, Sarang Gopalakrishnan, Curt von Keyserlingk
The steady states of dynamical processes can exhibit stable nontrivial phases, which can also serve as fault-tolerant classical or quantum memories. For Markovian quantum (classica…
Higgs Condensates are Symmetry-Protected Topological Phases: II. Gauge Theory and Superconductors
Ryan Thorngren, Tibor Rakovszky, Ruben Verresen +1
Classifying Higgs phases within the landscape of gapped and symmetry preserving states of matter presents a conceptual challenge. We argue that Higgs phases are symmetry-pro…
Operator relaxation and the optimal depth of classical shadows
Matteo Ippoliti, Yaodong Li, Tibor Rakovszky +1
Classical shadows are a powerful method for learning many properties of quantum states in a sample-efficient manner, by making use of randomized measurements. Here we study the sam…
Fragmentation-induced localization and boundary charges in dimensions two and above
Julius Lehmann, Pablo Sala, Frank Pollmann +1
We study higher dimensional models with symmetric correlated hoppings, which generalize a one-dimensional model introduced in the context of dipole-conserving dynamics. We prove ri…
Topology, criticality, and dynamically generated qubits in a stochastic measurement-only Kitaev model
Adithya Sriram, Tibor Rakovszky, Vedika Khemani +1
We consider a paradigmatic solvable model of topological order in two dimensions, Kitaev's honeycomb Hamiltonian, and turn it into a measurement-only dynamics consisting of stochas…
Operator backflow and the classical simulation of quantum transport
C. W. von Keyserlingk, Frank Pollmann, Tibor Rakovszky
Tensor product states have proved extremely powerful for simulating the area-law entangled states of many-body systems, such as the ground states of gapped Hamiltonians in one dime…
Dynamics in Systems with Modulated Symmetries
Pablo Sala, Julius Lehmann, Tibor Rakovszky +1
We extend the notions of multipole and subsystem symmetries to more general {\it spatially modulated} symmetries. We uncover two instances with exponential and (quasi)-periodic mod…
Fractal, logarithmic and volume-law entangled non-thermal steady states via spacetime duality
Matteo Ippoliti, Tibor Rakovszky, Vedika Khemani
The extension of many-body quantum dynamics to the non-unitary domain has led to a series of exciting developments, including new out-of-equilibrium entanglement phases and phase t…
Comment on "Entanglement growth in diffusive systems"
Tibor Rakovszky, Frank Pollmann, C. W. von Keyserlingk
In a recent paper (Commun. Phys. 3, 100) Znidaric studies the growth of higher Renyi entropies in diffusive systems and claims that they generically grow ballistically in time, exc…
Dissipation-assisted operator evolution method for capturing hydrodynamic transport
Tibor Rakovszky, C. W. von Keyserlingk, Frank Pollmann
We introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime.…
Statistical localization: from strong fragmentation to strong edge modes
Tibor Rakovszky, Pablo Sala, Ruben Verresen +2
Certain disorder-free Hamiltonians can be non-ergodic due to a \emph{strong fragmentation} of the Hilbert space into disconnected sectors. Here, we characterize such systems by int…
Entanglement growth after inhomogenous quenches
Tibor Rakovszky, C. W. von Keyserlingk, Frank Pollmann
We study the growth of entanglement in quantum systems with a conserved quantity exhibiting diffusive transport, focusing on how initial inhomogeneities are imprinted on the entrop…