11 papers
Optimal Decoding for Measurement-Based GHZ State Preparation: The Maximum-Utility Decoder
Misha Yutushui, Theo Haas, Simon Trebst
The meticulous preparation of macroscopic Greenberger-Horne-Zeilinger (GHZ) states provides a foundational resource for quantum technologies such as metrology, cryptography, and fa…
Nishimori Threshold Estimation for Bayesian Inference and Surface Code Decoding
Rohit Mukherjee, Simon Trebst
In quantum error correction, the error threshold provides essential quantitative guidance for the ability to bring about fault-tolerance through decoding the effects of incoherent…
Dynamical self-dual criticality in Fibonacci-monitored quantum Ising chains
Finn Eckstein, Harald Schmid, Quinten Preiss +3
For the quantum phase transition in the transverse-field Ising chain, Kramers-Wannier duality not only protects its critical properties but also pinpoints the location of the phase…
Learning transitions in classical Ising models and deformed toric codes
Malte Pütz, Samuel J. Garratt, Hidetoshi Nishimori +2
Conditional probability distributions describe the effect of learning an initially unknown classical state through Bayesian inference. Here we demonstrate the existence of a \texti…
Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes
Rushikesh A. Patil, Malte Pütz, Simon Trebst +2
We revisit a learning-induced tricritical point, at which three phases with strong, weak, and broken symmetry meet, in the phase diagram of a deformed toric code wavefunction…
Floquet implementation of a 3d fermionic toric code with full logical code space
Yoshito Watanabe, Bianca Bannenberg, Simon Trebst
Floquet quantum error-correcting codes provide an operationally economical route to fault tolerance by dynamically generating stabilizer structures using only two-body Pauli measur…