7 papers
Projected logical ensembles in surface codes via the random-matrix theory of quantum dots
Mircea Bejan, Jan Behrends, Max McGinley +1
Measurements underpin active quantum error correction (QEC) and have been recognized as a source of novel measurement-induced many-body phenomena. Here, we study the statistical pr…
Computing with many encoded logical qubits beyond break-even
Shival Dasu, Matthew DeCross, Andrew Y. Guo +42
High-rate quantum error correcting (QEC) codes encode many logical qubits in a given number of physical qubits, making them promising candidates for quantum computation. Implementi…
Critical non-equilibrium phases from noisy topological memories
Amir-Reza Negari, Subhayan Sahu, Jan Behrends +2
We demonstrate the existence of an extended non-equilibrium critical phase, characterized by sub-exponential decay of conditional mutual information (CMI), in the surface code subj…
Quantum Geometric Bounds in Non-Hermitian Systems
Milosz Matraszek, Wojciech J. Jankowski, Jan Behrends
We identify quantum geometric bounds for observables in non-Hermitian systems. We find unique bounds on non-Hermitian quantum geometric tensors, generalized two-point response corr…
Statistical mechanical mapping and maximum-likelihood thresholds for the surface code under generic single-qubit coherent errors
Jan Behrends, Benjamin Béri
The surface code, one of the leading candidates for quantum error correction, is known to protect encoded quantum information against stochastic, i.e., incoherent errors. The prote…
The surface code beyond Pauli channels: Logical noise coherence, information-theoretic measures, and errorfield-double phenomenology
Jan Behrends, Benjamin Béri
We consider the surface code under errors featuring both coherent and incoherent components and study the coherence of the corresponding logical noise channel and how this impacts…