Open system quantum dynamics can generate a variety of long-range entangled mixed
states, yet it has been unclear in what sense they constitute phases of matter. To establish …

We prove that random quantum circuits on any geometry, including a 1D line, can form
approximate unitary designs over $ n $ qubits in $\log n $ depth. In a similar manner, we …

Exotic quantum many-body states, such as Haldane and spin liquid phases, can exhibit
remarkable features like fractional excitations and non-Abelian statistics and offer new …

In this paper, we introduce an algorithm for extracting topological data from translation
invariant generalized Pauli stabilizer codes in two-dimensional systems, focusing on the …

The analysis of phase transitions of gauge theories has relied heavily on simplifications that
arise at the boundaries of phase diagrams, where certain excitations are forbidden. Taking …

To bring the quantum computing capacities to the personal edge devices, the optimum
approach is to have simple non-error-corrected personal devices that offload the …

The analysis of phase transitions of gauge theories has relied heavily on simplifications that
arise at the boundaries of phase diagrams, where certain excitations are forbidden. Taking …

The analysis of noisy quantum states prepared on current quantum computers is getting
beyond the capabilities of classical computing. Quantum neural networks based on …

Learning faithful representations of quantum states is crucial to fully characterizing the
variety of many-body states created on quantum processors. While various tomographic …

The classification of many-body quantum states plays a fundamental role in the study of
quantum phases of matter. In this work, we propose an approach to classify quantum states …