REVIEW 3 cited by
Entanglement negativity at the critical point of measurement-driven transition
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We study the entanglement behavior of a random unitary circuit punctuated by projective measurements at the measurement-driven phase transition in one spatial dimension. We numerically study the logarithmic entanglement negativity of two disjoint intervals and find that it scales as a power of the cross-ratio. We investigate two systems: (1) Clifford circuits with projective measurements, and (2) Haar random local unitary circuit with projective measurements. Remarkably, we identify a power-law behavior of entanglement negativity at the critical point. Previous results of entanglement entropy and mutual information point to an emergent conformal invariance of the measurement-driven transition. Our result suggests that the critical behavior of the measurement-driven transition is distinct from the ground state behavior of any \emph{unitary} conformal field theory.
Forward citations
Cited by 3 Pith papers
-
Microscopic study of topological phase transitions: Percolation point of view
Quasi-local topological entanglement negativity maps decoherence-driven phase transitions and reveals that color-code and toric-code states respond differently to explosive percolation.
-
R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions
The second Rényi conditional mutual information and its Markov length classify average SPT, trivial, paramagnetic, and SWSSB mixed-state phases and detect the transitions between them in two 1D decohered spin chains.
-
Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity
Decohered cluster states retain mixed-state subsystem symmetry-protected topological order up to maximal symmetry-preserving noise, and a new spurious entanglement negativity constant detects this order.
Discussion (0). Continue with ORCID to comment.