Work

Conformal invariance and quantum nonlocality in critical hybrid circuits

Year: 2021

Type: article

Abstract: Local measurements in random quantum circuits lead to a new class of ``entanglement phase transitions''. Through extensive calculations at the critical point of ``stabilizer'' circuits --- organized by a mapping from the finite rectangular geometry to the semi-infinite plane --- the authors find here an emergent conformal field theory description of the entanglement dynamics, whose critical exponents are beyond any known theory. As we show, conformal symmetry implies a measurement-induced Bell-like nonlocality, where distant qubits become entangled with an infinite speed.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.104.104305

Authors: Yaodong Li, Xiao Chen, Andreas W. W. Ludwig, Matthew P. A. Fisher

Institutions: University of California, Santa Barbara, Boston College, University of Colorado Boulder, Kavli Institute for Theoretical Physics

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green