Entanglement phases in large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math> hybrid Brownian circuits with long-range couplings
Subhayan Sahu, Shao-Kai Jian, Gregory Bentsen, Brian Swingle
Abstract
The interplay of unitary gates and quantum measurements leads to quantum many-body states with unique patterns of entanglement, and can even drive phase transitions between distinct entanglement phases. Here, the authors construct analytically solvable models to study the effects of long-range coupling on such measurement-induced phases, and also provide a minimal theoretical understanding of the phases and the phase transition in both spin and fermionic models. They show that power law couplings and measurements result in a rich entanglement phase diagram, including robust dynamical quantum phases with good error correcting properties, namely a power-law code distance.
Topics & Concepts
Quantum entanglementRange (aeronautics)Computer scienceMathematicsPhysicsEngineeringQuantum mechanicsAerospace engineeringQuantumQuantum many-body systemsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture