11 papers
Rigorous error bounds for dissipative thermal state preparation from weak system-bath coupling
Christopher Ong, S. A. Parameswaran, Benedikt Placke +1
Thermal state preparation is a central challenge in the simulation of quantum many-body systems. Yet, provably efficient algorithms for this task were only introduced recently [Che…
Optimal Decoding with the Worm
Zac Tobias, Nikolas P. Breuckmann, Benedikt Placke
We propose a new decoder for "matchable'' qLDPC codes that uses a Markov Chain Monte Carlo algorithm - called the worm algorithm - to approximately compute the probabilities of log…
Diffusion Codes: Self-Correction from Small(er)-Set Expansion with Tunable Non-locality
Adithya Sriram, Vedika Khemani, Benedikt Placke
Optimal constructions of classical LDPC codes can be obtained by choosing the Tanner graph uniformly at random among biregular graphs. We introduce a class of codes that we call ``…
Towards Efficient Quantum Thermal State Preparation via Local Driving: Lindbladian Simulation with Provable Guarantees
Dominik Hahn, S. A. Parameswaran, Benedikt Placke
Preparing the thermal density matrix corresponding to a given Hamiltonian is a task of central interest across quantum many-body physics, and is partic…
Slow mixing and emergent one-form symmetries in three-dimensional gauge theory
Charles Stahl, Benedikt Placke, Vedika Khemani +1
Symmetry-breaking order at low temperatures is often accompanied by slow relaxation dynamics, due to diverging free-energy barriers arising from interfaces between different ordere…
Solvable Quantum Circuits in Tree+1 Dimensions
Oliver Breach, Benedikt Placke, Pieter W. Claeys +1
We devise tractable models of unitary quantum many-body dynamics on tree graphs, as a first step towards a deeper understanding of dynamics in non-Euclidean spaces. To this end, we…