580 citations · 2.3k across the 32 of their papers we have counts for
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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…
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…
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…
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…
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…
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…