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Continuous symmetry breaking in adaptive quantum dynamics
Jacob Hauser, Yaodong Li, Sagar Vijay +1
Adaptive quantum circuits, in which unitary operations, measurements, and feedback are used to steer quantum many-body systems, provide an exciting opportunity to generate new dyna…
Stable measurement-induced Floquet enriched topological order
DinhDuy Vu, Ali Lavasani, Jong Yeon Lee +1
The Floquet code utilizes a periodic sequence of two-qubit measurements to realize the topological order. After each measurement round, the instantaneous stabilizer group can be ma…
Coherence requirements for quantum communication from hybrid circuit dynamics
Shane P. Kelly, Ulrich Poschinger, Ferdinand Schmidt-Kaler +2
The coherent superposition of quantum states is an important resource for quantum information processing which distinguishes quantum dynamics and information from their classical c…
Cross Entropy Benchmark for Measurement-Induced Phase Transitions
Yaodong Li, Yijian Zou, Paolo Glorioso +2
We investigate the prospects of employing the linear cross-entropy to experimentally access measurement-induced phase transitions (MIPT) without requiring any postselection of quan…
Random Quantum Circuits
Matthew P. A. Fisher, Vedika Khemani, Adam Nahum +1
Quantum circuits -- built from local unitary gates and local measurements -- are a new playground for quantum many-body physics and a tractable setting to explore universal collect…
Statistical mechanics of quantum error correcting codes
Yaodong Li, Matthew P. A. Fisher
We study stabilizer quantum error correcting codes (QECC) generated under hybrid dynamics of local Clifford unitaries and local Pauli measurements in one dimension. Building upon 1…
Emergent conformal symmetry in non-unitary random dynamics of free fermions
Xiao Chen, Yaodong Li, Matthew P. A. Fisher +1
We present random quantum circuit models for non-unitary quantum dynamics of free fermions in one spatial dimension. Numerical simulations reveal that the dynamics tends towards st…
Conformal invariance and quantum non-locality in critical hybrid circuits
Yaodong Li, Xiao Chen, Andreas W. W. Ludwig +1
We establish the emergence of a conformal field theory (CFT) in a (1+1)-dimensional hybrid quantum circuit right at the measurement-driven entanglement transition by revealing spac…
Wavefunction positivization via automatic differentiation
Giacomo Torlai, Juan Carrasquilla, Matthew T. Fishman +2
We introduce a procedure to systematically search for a local unitary transformation that maps a wavefunction with a non-trivial sign structure into a positive-real form. The trans…